A Path Integral for the Chiral-Form Partition Function

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.

arXiv comment40 pages; v2: minor corrections; v3: references added and presentation streamlined

References in corpus (22)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Five-Brane Effective Action In M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• World-Volume Action of the M Theory Five-Brane
• On Lorentz Invariant Actions for Chiral P-Forms
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• Duality Symmetric Actions with Manifest Space-Time Symmetries
• Duality Relations Among Topological Effects In String Theory
• The Uncertainty of Fluxes
• Heisenberg Groups and Noncommutative Fluxes
• Holographic Action for the Self-Dual Field
• Covariant Action for Type IIB Supergravity
• Self-dual forms: Action, Hamiltonian and Compactification
• Covariant path integral for chiral p-forms
• On Covariant Actions for Chiral $p-$Forms
• (2,0) Lagrangian Structures
• Holomorphic factorization of correlation functions in (4k+2)-dimensional (2k)-form gauge theory
• How to Wick rotate generic curved spacetime
• Geometrical Aspects of An Abelian (2,0) Action
• Covariant M5-brane action with self-dual 3-form
• Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
• Space-Time Symmetries in Duality Symmetric Models

Cited by in corpus (1)

• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories