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.
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Andriolo, E., Lambert, N., Orchard, T. et al. A path integral for the chiral-form partition function. J. High Energ. Phys. 2022, 115 (2022). https://doi.org/10.1007/JHEP04(2022)115
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DOI: https://doi.org/10.1007/JHEP04(2022)115