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CPT and other symmetries in string/M theory

Dine, Michael and Graesser, Michael L. (2005) CPT and other symmetries in string/M theory. Journal of High Energy Physics, 2005 (1). Art. No.-038. ISSN 1126-6708. doi:10.1088/1126-6708/2005/01/038.

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We initiate a search for non-perturbative consistency conditions in M theory. Some non-perturbative conditions are already known in type-I theories; we review these and search for others. We focus principally on possible anomalies in discrete symmetries. It is generally believed that discrete symmetries in string theories are gauge symmetries, so anomalies would provide evidence for inconsistencies. Using the orbifold cosmic string construction, we give some evidence that the symmetries we study are gauged. We then search for anomalies in discrete symmetries in a variety of models, both with and without supersymmetry. In symmetric orbifold models we extend previous searches, and show in a variety of examples that all anomalies may be canceled by a Green-Schwarz mechanism. We explore some asymmetric orbifold constructions and again find that all anomalies may be canceled this way. The we turn to type-IIB orientifold models where it is known that even perturbative anomalies are non-universal. In the examples we study, by combining geometric discrete symmetries with continuous gauge symmetries, one may define non-anomalous discrete symmetries already in perturbation theory; in other cases, the anomalies are universal. Finally, we turn to the question of CPT conservation in string/M theory. It is well known that CPT is conserved in all string perturbation expansions; here in a number of examples for which a non-perturbative formulation is available we provide evidence that it is conserved exactly.

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Additional Information:© Institute of Physics and IOP Publishing Limited 2005. Received 15 October 2004, accepted for publication 24 January 2005. Published 10 February 2005. This work supported in part by a grant from the U.S. Department of Energy. Some early stages of this analysis were conducted with K. Choi and J. Gray. We thank Tom Banks, K. Choi, J. Gray, Lubos Motl, F. Quevedo, J. Polchinski, J. Preskill and E. Silverstein for many helpful discussions. M.G. thanks the Aspen Center for Physics where part of this work was completed. Preprint numbers CALT-68-2519 and SCIPP-04/17.
Subject Keywords:superstrings and heterotic strings, M-theory, M(atrix) theories, discrete and finite symmetries, ASYMMETRIC ORBIFOLDS, M(ATRIX) THEORY, MATRIX MODEL, QUANTUM-MECHANICS, GLOBAL ANOMALIES, BRANES, VACUA, SUPERGRAVITY, COUPLINGS, N=1
Issue or Number:1
Record Number:CaltechAUTHORS:DINjhep05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:598
Deposited By: Tony Diaz
Deposited On:01 Sep 2005
Last Modified:08 Nov 2021 19:03

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