On Electromagnetic Duality in Locally Supersymmetric N=2 Yang--Mills Theory (2008)
Ceresole, A, D'Auria, R, Ferrara, S, Van Proeyen, A
We consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical...
Special geometry for arbitrary signatures (2006)
Lledo, M. A., Macia, O., Van Proeyen, A., Varadarajan, V. S.
In this paper we generalize special geometry to arbitrary signatures in target space. We formulate the definitions in a precise mathematical setting and give a translation to the coordinate formalism...
Fayet-Iliopoulos Terms in Supergravity and Cosmology (2005)
Binetruy, P., Dvali, G., Kallosh, R., Van Proeyen, A.
We clarify the structure of N=1 supergravity in 1+3 dimensions with constant FI terms. The FI terms induce non-vanishing R-charges for the fermions and the superpotential. Therefore the D-term...
The Identification of conformal hypercomplex and quaternionic manifolds (2005)
Bergshoeff, E., Vandoren, S., Van Proeyen, A.
We review the map between hypercomplex manifolds that admit a closed homothetic Killing vector (i.e. ‘conformal hypercomplex’ manifolds) and quaternionic manifolds of 1 dimension less. This map...
On the fakeness of fake supergravity (2004)
Celi, A, Ceresole, A, Dall'Agata, G, Van Proeyen, A, Zagermann, M
We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N=2 supergravity and carefully analyse the relation to gravitational theories known as "fake supergravities". We...
Fayet-Iliopoulos Terms in Supergravity and Cosmology (2004)
Binetruy, P., Dvali, G., Kallosh, R., Van Proeyen, A.
We clarify the structure of N=1 supergravity in 1+3 dimensions with constant FI terms. The FI terms induce non-vanishing R-charges for the fermions and the superpotential. Therefore the D-term...
Fayet-Iliopoulos Terms in Supergravity and Cosmology (2004)
Binetruy, P., Dvali, G., Kallosh, R., Van Proeyen, A.
We clarify the structure of N=1 supergravity in 1+3 dimensions with constant FI terms. The FI terms induce non-vanishing R-charges for the fermions and the superpotential. Therefore the D-term...
The Map Between Conformal Hypercomplex/Hyper-Kähler and Quaternionic(-Kähler) Geometry (2004)
Bergshoeff, E., Cucu, S., Wit, T. De, Gheeradyn, J., Vandoren, S., Van Proeyen, A.
We review the general properties of target spaces of hypermultiplets, which are quaternionic-like manifolds, and discuss the relations between these manifolds and their symmetry generators. We...
N = 2 supergravity in five-dimensions revisited (2004)
Bergshoeff, E., Cucu, S., Wit, T. De, Gheerardyn, J., Vandoren, S., Van Proeyen, A.
We construct matter-coupled N = 2 supergravity in five dimensions, using the superconformal approach. For the matter sector we take an arbitrary number of vector, tensor and hypermultiplets. By...
Wess-Zumino sigma models with non-Kahlerian geometry (2003)
Stelle, K. S., Van Proeyen, A.
Supersymmetry of the Wess-Zumino (N=1, D=4) multiplet allows field equations that determine a larger class of geometries than the familiar Kahler manifolds, in which covariantly holomorphic vectors...
Broken sigma-model isometries in very special geometry (2002)
De Wit, Bernard, Van Proeyen, A
We show that the isometries of the manifold of scalars in $N=2$ supergravity in $d=5$ space-time dimensions can be broken by the supergravity interactions. The opposite conclusion holds for the...
The regularized BRST Jacobian of pure Yang-Mills theory (2002)
De Jonghe, F, Siebelink, R, Troost, W, Vandoren, S, Van Nieuwenhuizen, P, Van Proeyen, A
The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains...
Special geometry, cubic polynomials and homogeneous quaternionic spaces (2002)
De Wit, Bernard, Van Proeyen, A
The existing classification of homogeneous quaternionic spaces is not complete. We study these spaces in the context of certain $N=2$ supergravity theories, where dimensional reduction induces a...
Superconformal N=2, D = 5 matter with and without actions (2002)
Bergshoeff, E., Cucu, S., Wit, T. De, Gheerardyn, J., Halbersma, R., Vandoren, S., ...
We investigate N = 2, D = 5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a lagrangian. Under this...
Brane plus Bulk Supersymmetry in Ten Dimensions (2001)
Bergshoeff, E., Kallosh, R., Ortin, T., Roest, D., Van Proeyen, A.
We discuss a generalized form of IIA/IIB supergravity depending on all R-R potentials C^(p) (p=0,1,...,9) as the effective field theory of Type IIA/IIB superstring theory. For the IIA case we...
New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls (2001)
Bergshoeff, E., Kallosh, R., Ortin, T., Roest, D., Van Proeyen, A.
We discuss a generalized form of IIA/IIB supergravity depending on all R-R potentials C^(p) (p=0,1,...,9) as the effective field theory of Type IIA/IIB superstring theory. For the IIA case we...
Supersymmetry in Singular Spaces (2000)
Bergshoeff, E A, Kallosh, Renata E, Van Proeyen, A
We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D=5 and comment on 8-branes in D=10. The new construction has an interpretation that the brane is a...
Superconformal Symmetry, Supergravity and Cosmology (2000)
Kallosh, Renata E, Kofman, L A, Linde, Andrei D, Van Proeyen, A
We introduce the general N=1 gauge theory superconformally coupled to supergravity. The theory has local SU(2,2|1) symmetry and no dimensional parameters. The superconformal origin of the...
Embedding Branes in Flat Two-time Spaces (2000)
Andrianopoli, Laura, Derix, M, Gibbons, G W, Herdeiro, C, Santambrogio, A, Van Proeyen, A
We show how non-near horizon, non-dilatonic $p$-brane theories can beobtained from two embedding constraints in a flat higher dimensional space with2 time directions. In particular this includes the...
Embedding Branes in Flat Two-time Spaces (2000)
Andrianopoli, Laura, Derix, M, Gibbons, G W, Herdeiro, C, Santambrogio, A, Van Proeyen, A
We show how non-near horizon, non-dilatonic $p$-brane theories can beobtained from two embedding constraints in a flat higher dimensional space with2 time directions. In particular this includes the...
Embedding Branes in Flat Two-time Spaces (2000)
Andrianopoli, L., Derix, M., Gibbons, G. W., Herdeiro, C., Santambrogio, A., Van Proeyen, A.
We show how non-near horizon, non-dilatonic $p$-brane theories can be obtained from two embedding constraints in a flat higher dimensional space with 2 time directions. In particular this includes...
Black Holes and Superconformal Mechanics (1998)
Claus, P., Derix, M., Kallosh, R., Kumar, J., Townsend, P. K., Van Proeyen, A.
The dynamics of a (super)particle near the horizon of an extreme Reissner-Nordstrom black hole is shown to be governed by an action that reduces to a (super)conformal mechanics model in the limit of...
2nd Workshop on Gauge Theories, Applied Supersymmetry and Quantum Gravity (1998)
Servin, A S, Stelle, Kellogg S, Thielemans, K, Van Proeyen, A
Conformal Theory of M2, D3, M5 and `D1+D5' Branes (1998)
Claus, P., Kallosh, R., Kumar, J., Townsend, P. K., Van Proeyen, A.
The bosonic actions for M2, D3 and M5 branes in their own d-dimensional near-horizon background are given in a manifestly SO(p+1,2) x SO(d-p-1) invariant form (p=2,3,5). These symmetries result from...
Duality in N=2 nonlinear sigma-models (1998)
Penati, S., Refolli, A., Van Proeyen, A., Zanon, D.
We consider N=2 supersymmetric nonlinear sigma-models in two dimensions defined in terms of the nonminimal scalar multiplet. We compute in superspace the one-loop beta function and show that the...
Special K\"ahler Geometry. Does there Exist a Prepotential? (1997)
Craps, B., Roose, F., Troost, W., Van Proeyen, A.
A symplectically invariant definition of special K\"ahler geometry is discussed. Certain aspects hereof are illustrated by means of Calabi-Yau moduli spaces.
Quantization of the complex linear superfield (1997)
Grisaru, M., Van Proeyen, A., Zanon, D.
The quantization of the complex linear superfield requires an infinite tower of ghosts. We use the Batalin-Vilkovisky method to obtain a gauge-fixed action. In superspace, the method brings in some...
What is Special K\"ahler Geometry ? (1997)
Craps, B., Roose, F., Troost, W., Van Proeyen, A.
The scalars in vector multiplets of N=2 supersymmetric theories in 4 dimensions exhibit `special Kaehler geometry', related to duality symmetries, due to their coupling to the vectors. In the...
Special geometry and symplectic transformations (1995)
Special Kahler manifolds are defined by coupling of vector multiplets to $N=2$ supergravity. The coupling in rigid supersymmetry exhibits similar features. These models contain $n$ vectors in rigid...
Billó, M, Ceresole, Anna T, D'Auria, R, Ferrara, Sergio, Fré, P, Regge, Tullio Eugenio, ...
The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. This...
Ceresole, A., Billo', M., D'Auria, R., Ferrara, S., Fre', P., Regge, T., ...
The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality...
R-symmetry and the topological twist of N=2 effective supergravities of heterotic strings (1995)
Billó, M, D'Auria, R, Ferrara, Sergio, Fré, P, Soriani, P, Van Proeyen, A
We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of...
R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings (1995)
Billo', M., D'Auria, R., Ferrara, S., Fre', P., Soriani, P., Van Proeyen, A.
We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of...
Isometries of special manifolds (1995)
We describe special Ka\"hler geometry, special quaternionic manifolds, and very special real manifolds and analyze the structure of their isometries. The classification of the homogeneous manifolds...
Proper symmetries act on fields while pseudo-symmetries act on both fields and coupling constants. We identify the pseudo-duality groups that act as symmetries of the equations of motion of general...
Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity (1995)
Ceresole, Anna T, D'Auria, R, Ferrara, Sergio, Van Proeyen, A
We consider duality transformations in N=2, d=4 Yang-Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy...
Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity, (1995)
Ceresole, A., D'Auria, R., Ferrara, S., Van Proeyen, A.
We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy...
On electromagnetic duality in locally supersymmetric N = 2 Yang-Mills theory (1995)
Ceresole, Anna T, Van Proeyen, A, Ferrara, Sergio, D'Auria, R
We consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical...
On electromagnetic duality in locally supersymmetric N = 2 Yang-Mills theory (1995)
Ceresole, Anna T, D'Auria, R, Ferrara, Sergio, Van Proeyen, A
We consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical...
On Electromagnetic Duality in Locally Supersymmetric N=2 Yang--Mills Theory (1994)
Ceresole, A., D'Auria, R., Ferrara, S., Van Proeyen, A.
We consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical...
Hidden symmetries, special geometry and quaternionic manifolds (1993)
The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same {\em special geometry} that is known from nonlinear sigma models in $N=2$...
The Batalin--Vilkovisky (BV) formalism is a useful framework to study gauge theories. We summarize a simple procedure to find a a gauge--fixed action in this language and a way to obtain one--loop...
The Batalin–Vilkovisky (BV) formalism is a useful framework to study gauge theories. We summarize a simple procedure to find a a gauge–fixed action in this language and a way to obtain one–loop...
Symmetry structure of special geometries (1992)
De Wit, B., Vanderseypen, F., Van Proeyen, A.
Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of K\"ahler and quaternionic manifolds with special geometry. These two varieties are related by the...
The regularized BRST Jacobian of pure Yang-Mills theory (1992)
De Jonghe, F., Siebelink, R., Troost, W., Vandoren, S., Van Nieuwenhuizen, P., Van Proeyen, A.
The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains...
The Regularized BRST Jacobian of pure Yang-Mills theory (1992)
Jonghe, F. De, Siebelink, R., Troost, W., Vandoren, S., Nieuwenhuizen, P. Van, Van Proeyen, A.
The Jacobian for infinitesimal BRST transformations of path in- tegrals for pure Yang-Mills theory, viewed as a matrix 1 + J in the space of Yang-Mills fields and (anti)ghosts, contains off- diagonal...
Special geometry, cubic polynomials and homogeneous quaternionic spaces (1991)
The existing classification of homogeneous quaternionic spaces is not complete. We study these spaces in the context of certain $N=2$ supergravity theories, where dimensional reduction induces a...
N = 1 formulation of general N = 2 Yang-Mills supergravity couplings (1990)
Derendinger, Jean-Pierre, Ferrara, Sergio, Masiero, A, Van Proeyen, A
Cremmer, E, Kounnas, Costas, Van Proeyen, A, Derendinger, Jean-Pierre, Ferrara, Sergio, De Wit, Bernard, ...
Noncompact N=2 supergravity (1984)
De Wit, B., Lauwers, P. G., Philippe, R., Van Proeyen, A.
A massive spin-one multiplet with central charge is coupled to N=2 supergravity. Compared to conventional gauge fields the anomalous magnetic moment of the spin-one particles is of the opposite sign....
Gauge and matter fields coupled to N = 2 supergravity (1984)
De Wit, B., Lauwers, P. G., Philippe, R., Van Proeyen, A.
We consider the potential of a general matter system of N = 2 vector and scalar multiplets coupled to supergravity. For lagrangians that are initially quadratic in the matter fields we prove that the...
Off-shell representations with central charges for ten-dimensional super Yang-Mills theory (1982)
Van Proeyen, A., Nicolai, Hermann
Using Bianchi identities and commutation relations we investigate the off-shell field content of the ten-dimensional super Yang-Mills theory when central charges are introduced. Possible constraints...