A path integral for the chiral-form partition function

E. Andriolo; N. Lambert; T. Orchard; C. Papageorgakis

doi:10.1007/JHEP04(2022)115

A path integral for the chiral-form partition function

E. Andriolo, N. Lambert, T. Orchard, C. Papageorgakis^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Article number	115
Journal	Journal of High Energy Physics
Volume	2022
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2022)115
Publication status	Published - Apr 2022

Keywords

Conformal and W Symmetry
Field Theories in Lower Dimensions
M-Theory

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10.1007/JHEP04(2022)115

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KW - Conformal and W Symmetry

KW - Field Theories in Lower Dimensions

KW - M-Theory

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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A path integral for the chiral-form partition function

Abstract

Keywords

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