N=4 Superconformal Algebra and the Entropy of HyperKahler Manifolds (2009)
Eguchi, Tohru, Hikami, Kazuhiro
We study the elliptic genera of hyperKahler manifolds using the representation theory of N=4 superconformal algebra. We consider the decomposition of the elliptic genera in terms of N=4 irreducible...
Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surface (2009)
Eguchi, Tohru, Hikami, Kazuhiro
The elliptic genera of the K3 surfaces, both compact and non-compact cases, are studied by using the theory of mock theta functions. We decompose the elliptic genus in terms of the N=4 superconformal...
Superconformal Algebras and Mock Theta Functions (2008)
Eguchi, Tohru, Hikami, Kazuhiro
It is known that characters of BPS representations of extended superconformal algebras do not have good modular properties due to extra singular vectors coming from the BPS condition. In order to...
Modular Forms and Elliptic Genera for ALE Spaces (2008)
Eguchi, Tohru, Sugawara, Yuji, Taormina, Anne
When we describe string propagation on non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an...
Topological Gravity in Genus 2 with Two Primary Fields (2007)
Tohru Eguchi, Ezra Getzler, Chuan-sheng Xiong, For C P
. We calculate the genus 2 correlation functions of two-dimensional topological gravity, in a background with two primary elds, using the genus 2 topological recursion relations. In this paper, we...
Superconformal Field Theories in (2007)
Dimensions And Classification, Tohru Eguchi, Kentaro Hori
Making use of the exact solutions of the N = 2 supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the...
Rigid Limit in N=2 Supergravity and Weak-Gravity Conjecture (2007)
Eguchi, Tohru, Tachikawa, Yuji
We analyze the coupled N=2 supergravity and Yang-Mills system using holomorphy, near the rigid limit where the former decouples from the latter. We find that there appears generically a new mass...
Liouville Field, Modular Forms and Elliptic Genera (2006)
Eguchi, Tohru, Sugawara, Yuji, Taormina, Anne
When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the...
Distribution of Flux Vacua around Singular Points in Calabi-Yau Moduli Space (2005)
Eguchi, Tohru, Tachikawa, Yuji
We study the distribution of type IIB flux vacua in the moduli space near various singular loci, e.g. conifolds, ADE singularities on P1, Argyres-Douglas point etc, using the Ashok- Douglas density...
Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories (2004)
In this paper we discuss various aspects of non-compact models of CFT of the type: $ \prod_{j=1}^{N_L} {N=2 Liouville theory}_j \otimes \prod_{i=1}^{N_M} {N=2 minimal model}_i $ and $...
Modular Bootstrap of Boundary N=2 Liouville Theory (2004)
We present our recent studies on the dynamics of boundary N=2 Liouville theory. We use the representation theory of N=2 superconformal algebra and the method of modular bootstrap to derive three...
SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds (2004)
We first discuss the relationship between the SL(2;R)/U(1) supercoset and N=2 Liouville theory and make a precise correspondence between their representations. We shall show that the discrete unitary...
Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes (2003)
We consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory. We...
Modular Bootstrap for Boundary N=2 Liouville Theory (2003)
We study the boundary N=2 Liouville theory based on the ``modular bootstrap'' approach. As fundamental conformal blocks we introduce the ``extended characters'' that are defined as the proper sums...
Topological Strings and Nekrasov's formulas (2003)
We apply the method of geometric transition and compute all genus topological closed string amplitudes compactified on local {\bf F}_0 by making use of the Chern-Simons gauge theory. We find an exact...
Branches of N=1 Vacua and Argyres-Douglas Points (2003)
We study the N=1 version of Argyres-Douglas (AD) points by making use of the recent developments in understanding the dynamics of the chiral sector of N=1 gauge theories. We shall consider N=1 U(N)...
Seiberg-Witten Curve for E-String Theory Revisited (2003)
Eguchi, Tohru, Sakai, Kazuhiro
We discuss various properties of the Seiberg-Witten curve for the E-string theory which we have obtained recently in hep-th/0203025. Seiberg-Witten curve for the E-string describes the low-energy...
Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds (2003)
Eguchi, Tohru, Sugawara, Yuji, Yamaguchi, Satoshi
We study aspects of superstring vacua of non-compact special holonomy manifolds with conical singularities constructed systematically using soluble N = 1 superconformal field theories (SCFT's). It is...
Seiberg-Witten Curve for E-String Theory Revisited (2002)
Eguchi, Tohru, Sakai, Kazuhiro
We discuss various properties of the Seiberg-Witten curve for the E-string theory which we have obtained recently in hep-th/0203025. Seiberg-Witten curve for the E-string describes the low-energy...
Seiberg-Witten Curve for the E-String Theory (2002)
Eguchi, Tohru, Sakai, Kazuhiro
We construct the Seiberg-Witten curve for the E-string theory in six-dimensions. The curve is expressed in terms of affine E_8 characters up to level 6 and is determined by using the mirror-type...
String Theory on G_2 Manifolds Based on Gepner Construction (2001)
We study the type II string theories compactified on manifolds of $G_2$ holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $CY_3$ sectors realized by the Gepner models. We construct...
CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy (2001)
We construct modular invariant partition functions for strings propagating on non-compact manifolds of G_2 holonomy. Our amplitudes involve a pair of N=1 minimal models M_m, M_{m+2} (m=3,4,...) and...
ADE Singularities and Coset Models (2001)
Eguchi, Tohru, Warner, Nicholas P., Yang, Sung-Kil
We consider the compactification of the IIA string to (1+1) dimensions on non-compact 4-folds that are ALE fibrations. Supersymmetry requires that the compactification include 4-form fluxes, and a...
D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory (2000)
Making use of the N=2 Liouville theory and world-sheet techniques, we study the properties of D-branes wrapped around vanishing SUSY cycles of singular Calabi-Yau n-folds (n=2,3,4). After...
Topological gravity in genus 2 with two primary fields (2000)
Eguchi, Tohru, Getzler, Ezra, Xiong, Chuan-Sheng
We calculate the genus 2 correlation functions of two-dimensional topological gravity, in a background with two primary fields, using the genus 2 topological recursion relations.
Five-Dimensional Gauge Theories and Local Mirror Symmetry (2000)
We study the dynamics of 5-dimensional gauge theory on $M_4\times S^1$ by compactifying type II/M theory on degenerate Calabi-Yau manifolds. We use the local mirror symmetry and shall show that the...
Modular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity (2000)
We study the type II superstring theory on the background $\br^{d-1,1}\times X_n$, where $X_n$ is a Calabi-Yau $n$-fold ($2n+d=10$) with an isolated singularity, by making use of the holographically...
Generalization of Calabi-Yau/Landau-Ginzburg correspondence (1999)
Eguchi, Tohru, Jinzenji, Masao
We discuss a possible generalization of the Calabi-Yau/Landau-Ginzburg correspondence to a more general class of manifolds. Specifically we consider the Fermat type hypersurfaces $M_N^k$:...
S-duality and Strong Coupling Behavior of Large N Gauge Theories with N=4 Supersymmetry (1998)
We analyze the strong coupling behavior of the large N gauge theories in 4-dimensions with N=4 supersymmetry by making use of S-duality. We show that at large values of the coupling constant...
Quantum Cohomology at Higher Genus: Topological Recursion Relations and Virasoro Conditions (1998)
Eguchi, Tohru, Xiong, Chuan-Sheng
We construct topological recursion relations (TRR's) at higher genera $g\ge2$ for general 2-dimensional topological field theories coupled to gravity. These TRR's when combined with Virasoro...
Quantum Cohomology and Free Field Representation (1997)
Eguchi, Tohru, Jinzenji, Masao, Xiong, Chuan-Sheng
In our previous article we have proposed that the Virasoro algebra controls the quantum cohomology of Fano varieties at all genera. In this paper we construct a free field description of Virasoro...
Quantum Cohomology and Virasoro Algebra (1997)
Eguchi, Tohru, Hori, Kentaro, Xiong, Chuan-Sheng
We propose that the Virasoro algebra controls quantum cohomologies of general Fano manifolds $M$ ($c_1(M)>0$) and determines their partition functions at all genera. We construct Virasoro operators...
A New Description of the E_6 Singularity (1996)
We discuss a new type of Landau-Ginzburg potential for the E_6 singularity of the form $W=const+(Q_1(x)+P_1(x)\sqrt{P_2(x)})/x^3$ which featured in a recent study of heterotic/typeII string duality....
$N=2$ Superconformal Field Theories in $4$ Dimensions and A-D-E Classification (1996)
Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the...
Gravitational Quantum Cohomology (1996)
Eguchi, Tohru, Hori, Kentaro, Xiong, Chuan-Sheng
We discuss how the theory of quantum cohomology may be generalized to ``gravitational quantum cohomology'' by studying topological sigma models coupled to two-dimensional gravity. We first consider...
Study of $N=2$ Superconformal Field Theories in $4$ Dimensions (1996)
Eguchi, Tohru, Hori, Kentaro, Ito, Katsushi, Yang, Sung-Kil
Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the...
Prepotentials of $N=2$ Supersymmetric Gauge Theories and Soliton Equations (1995)
Using recently proposed soliton equations we derive a basic identity for the scaling violation of $N=2$ supersymmetric gauge theories $\sum_i a_i\partial F/\partial a_i-2F=8 \pi i b_1 u$. Here $F$ is...
c=1 Liouville Theory Perturbed by the Black-Hole Mass operator (1993)
We discuss the properties of the Liouville theory coupled to the c=1 matter when perturbed by an operator, the screening operator of the $SL(2;R)$ current algebra, which is supposed to generate the...
Topological Field Theories and Space-Time Singularity (1991)
Based on a study of recently proposed solution of 2 dim. black hole we argue that the space-time singularities of general relativity may be described by topological field theories (TFTs). We also...
THE ROLE OF AUXIN IN THE PHOTOPERIODIC TUBERIZATION IN BEGONIA EVANSIANA ANDR. (1964)
ESASHI, YÔJI, EGUCHI, TOHRU, NAGAO, MASAYUKI
The formation of aerial tubers in Begonia plants, an SD response, was inhibited by IAA, NAA and IBA applied to their leaves during the dark periods. The effectiveness of IAA differed according to the...