Dualities in M-theory and Born-Infeld Theory

Thesis/Dissertation · Mon Jan 01 04:00:00 EST 2001

DOI:https://doi.org/10.2172/791786· OSTI ID:791786

Brace, Daniel M. ^[1]

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1. Univ. of California, Berkeley, CA (United States); LBNL Library

We discuss two examples of duality. The first arises in the context of toroidal compactification of the discrete light cone quantization of M-theory. In the presence of nontrivial moduli coming from the M-theory three form, it has been conjectured that the system is described by supersymmetric Yang-Mills gauge theory on a noncommutative torus. We are able to provide evidence for this conjecture, by showing that the dualities of this M-theory compactification, which correspond to T-duality in Type IIA string theory, are also dualities of the noncommutative supersymmetric Yang-Mills description. One can also consider this as evidence for the accuracy of the Matrix Theory description of M-theory in this background. The second type of duality is the self-duality of theories with U(1) gauge fields. After discussing the general theory of duality invariance for theories with complex gauge fields, we are able to find a generalization of the well known U(1) Born-Infeld theory that contains any number of gauge fields and which is invariant under the maximal duality group. We then find a supersymmetric extension of our results, and also show that our results can be extended to find Born-Infeld type actions in any even dimensional spacetime.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 791786
• Report Number(s): LBNL--48160; UCB-PTH-01/21
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BORN-INFELD THEORY
COMPACTIFICATION
DUALITY
LIGHT CONE
QUANTIZATION
SUPERSYMMETRY
YANG-MILLS THEORY