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GEOMETRIC AND TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED STRING AND STRINGC STRUCTURES

Part of: Fiber spaces and bundles Quantum field theory; related classical field theories Homology and cohomology theories

Published online by Cambridge University Press:  09 June 2011

HISHAM SATI
HISHAM SATI*
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA (email: hsati@math.umd.edu)
*
✉For correspondence; e-mail: hsati@math.umd.edu
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Abstract

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The actions, anomalies and quantization conditions allow the M2-brane and the M5-brane to support, in a natural way, structures beyond spin on their world-volumes. The main examples are twisted string structures. This also extends to twisted stringc structures which we introduce and relate to twisted string structures. The relation of the C-field to Chern–Simons theory suggests the use of the string cobordism category to describe the M2-brane.

Keywords

string structurestringc structureanomaliesM-theory

MSC classification

Secondary: 81T50: Anomalies 55R65: Generalizations of fiber spaces and bundles 55N20: Generalized (extraordinary) homology and cohomology theories
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 1 , February 2011 , pp. 93 - 108
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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