arXiv subjects

Kirsten Vogeler

Publications and source records attributed to Kirsten Vogeler.

2 recordsLinked to original sources

arXiv2009

On a Logarithmic Deformation of the Supersymmetric bc-system on Curved Manifolds

E. Frenkel, A. Losev and N. Nekrasov claim that a certain class of theories on compact Kahler manifolds and in particular the "gauged" supersymmetric bc-system on CP^1 are logarithmic conformal field theories. We discuss that proposition on a classical level for the bc-system on CP^1. The outcome of our investigation conforms to their conjecture. The property of being a logarithmic CFT thus can be interpreted as an effect of gravity.

hep-th↗

arXiv2007

Pure Gauge SU(2) Seiberg-Witten Theory and Modular Forms

We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with the Weierstrass curve $\mathbbm{C}/L \ni z \mapsto (1,\wp(z),\wp(z)')$ and thereby obtain explicitely a modular form from which the moduli space parameter $u$ and lattice parameters $a$, $a_D$ can be derived in terms of modular respectively theta functions. We further discuss its relationship with the $c=-2$ triplet model conformal field theory.

hep-th↗