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 journalArticlepeer-review

7 Citations (Scopus)


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 languageEnglish
Article number115
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - Apr 2022


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


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