A free field approach to boundary \widehatg_k WZW models

2024/08/23 by Liu Xun, Liu, Xun
Physics and Astronomy · Mathematics · #Physics of Superconductivity and Magnetism #Algebraic structures and combinatorial models #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2408.12887

Abstract

The Wakimoto-type free-field approach is applied to the boundary integer-level simple \widehatg(k) Wess-Zumino-Witten (WZW) models, with a renewed motivation. With the introduction of the Lauricella hypergeometric functions F_D⁽ⁿ⁾ and their analytical extensions, we could obtain all genus-zero bulk n-point functions explicitly, for rational conformal field theories (RCFTs) that admit a free-field approach. I present free-field expressions for \widehatg(k) Ishibashi states, and provide simple example calculations in the simplest models. An extreme short discussion on potential generalizations of free-field approach to the logarithmic WZW models at the admissible levels is also given.

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