A path integral for the chiral-form partition function

Autor: E. Andriolo, N. Lambert, T. Orchard, C. Papageorgakis
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 4, Pp 1-38 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2022)115
Popis: 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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