Torsion and CPT anomaly in two-dimensional chiral U(1) gauge theory

Preprint

5 June 2001

preprint
Published by arXiv in arXiv

Abstract

We consider the CPT anomaly of two-dimensional chiral U(1) gauge theory on a torus with topologically nontrivial zweibeins corresponding to the presence of torsion. The resulting chiral determinant can be expressed in terms of the standard chiral determinant without torsion, but with modified spinor boundary conditions. This implies that the two-dimensional CPT anomaly can be moved from one spin structure to another by choosing appropriate zweibeins. Similar results apply to higher-dimensional chiral gauge theories.

Keywords

TWO DIMENSIONAL CHIRAL
ANOMALY OF TWO
GAUGE THEORY
CPT ANOMALY
ZWEIBEINS
TORSION

All Related Versions

Version 1, 2001-05-30, ArXiv
Version 2, 2001-06-05, ArXiv
Version 3, 2001-09-07, ArXiv
Published version: Nuclear Physics B, 616 (1-2), 215.

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