WZW Partition Functions from Supersymmetric Localization
Boan Zhao
TL;DR
This paper proves a conjecture linking WZW partition functions to lattice sums using supersymmetric localization, providing a new mathematical understanding of these functions in conformal field theory.
Contribution
It establishes a rigorous proof of Murthy and Witten's conjecture connecting WZW partition functions with lattice sum representations.
Findings
WZW partition functions can be expressed as lattice sums.
Supersymmetric localization is effective for deriving these representations.
The proof confirms the conjecture for diagonal modular invariants.
Abstract
We prove a conjecture of Murthy and Witten which expresses diagonal modular invariant WZW partition functions as lattice sums.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Mathematical functions and polynomials