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arXiv · 1307.2172

Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian

Wei-Ming Chen·Pei-Ming Ho·Hsien-chung Kao·Fech Scen Khoo·Yutaka Matsuo
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Abstract

We revisit the problem of quantizing a chiral boson on a torus. The conventional approach is to extract the partition function of a chiral boson from the path integral of a non-chiral boson. Instead we compute it directly from the chiral boson Lagrangian of Floreanini and Jackiw modified by topological terms involving auxiliary fields. A careful analysis of the gauge-fixing condition for the extra gauge symmetry reproduces the correct results for the free chiral boson, and has the advantage of being applicable to a wider class of interacting chiral boson theories.

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Wei-Ming Chen, Pei-Ming Ho, Hsien-chung Kao, Fech Scen Khoo, Yutaka Matsuo. 2013-07-31. Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian. https://doi.org/10.1093/ptep%2Fptu021

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