Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices (2009)
Harland, Derek, Kurkcuoglu, Seckin
We consider a U(2) Yang-Mills theory on M x S_F^2 where M is a Riemannian manifold and S_F^2 is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine the most general...
Q-lumps associated with the noncommutative CP^N model in 2+1 dimensions are constructed. These are solitonic configurations which are time dependent and rotate with constant angular frequency. Energy...
Noncommutative Nonlinear Sigma Models and Integrability (2008)
We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents, and discuss the special case of the noncommutative CP^1 model in some detail....
Quantum Aspects of the Noncommutative Sine-Gordon Model (2007)
Kurkcuoglu, Seckin, Lechtenfeld, Olaf
In this paper, we first use semi-classical methods to study quantum field theoretical aspects of the integrable noncommutative sine-Gordon model proposed in [hep-th/0406065]. In particular, we...
Interacting Quantum Topologies and the Quantum Hall Effect (2007)
Balachandran, A. P., Gupta, Kumar S., Kurkcuoglu, Seckin
The algebra of observables of planar electrons subject to a constant background magnetic field B is given by A_theta(R^2) x A_theta(R^2) the product of two mutually commuting Moyal algebras. It...
Drinfeld Twist and General Relativity with Fuzzy Spaces (2006)
Kurkcuoglu, Seckin, Saemann, Christian
We give a simplified formula for the star product on CP^n_L, which enables us to define a twist element suited for discussing a Drinfeld twist like structure on fuzzy complex projective spaces. The...
Nonlocal regularisation of noncommutative field theories (2006)
Govindarajan, T. R., Kurkcuoglu, Seckin, Panero, Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincar\'e-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off...
Nonlocal regularisation of noncommutative field theories (2006)
Govindarajan, T. R., Kurkcuoglu, Seckin, Panero, Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincaré-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off scale....
Explorations in fuzzy physics and non-commutative geometry [electronic resource] / (2004)
Thesis (PH.D.) -- Syracuse University, 2004.
Explorations in fuzzy physics and non-commutative geometry (2004)
Thesis (PH.D.) -- Syracuse University, 2004.
Nonlocal regularisation of noncommutative field theories
Govindarajan,T. R., Kurkcuoglu,Seckin, Panero,Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincaré-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off scale....