A Path Integral for the Chiral-Form Partition Function
High Energy Physics - Theory
2022-05-11 v3
Abstract
Starting from the recent action proposed by Sen [1,2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.
Cite
@article{arxiv.2112.00040,
title = {A Path Integral for the Chiral-Form Partition Function},
author = {Enrico Andriolo and Neil Lambert and Tristan Orchard and Constantinos Papageorgakis},
journal= {arXiv preprint arXiv:2112.00040},
year = {2022}
}
Comments
40 pages; v2: minor corrections; v3: references added and presentation streamlined