Heisenberg and Modular Invariance of N=2 Conformal Field Theory
Shi-shyr Roan
TL;DR
This paper develops a theta function representation for twisted characters in rational N=2 superconformal field theory, exploring their modular and Heisenberg group symmetries to deepen understanding of their mathematical structure.
Contribution
It introduces a new theta function framework for twisted characters and analyzes their invariance properties under modular and Heisenberg group actions.
Findings
Theta function representation of twisted characters
Jacobi-form like functional properties under transformations
Invariance under finite Heisenberg group and modular transformations
Abstract
We present a theta function representation of the twisted characters for the rational N=2 superconformal field theory, and discuss the Jacobi-form like functional properties of these characters for a fixed central charge under the action of a finite Heisenberg group and modular transformations.
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