Dualities in M-theory and Born-Infeld Theory

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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 ... continued below

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155 pages

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Brace, Daniel, M August 1, 2001.

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Description

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.

Physical Description

155 pages

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INIS; OSTI as DE00791786

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  • Other Information: TH: Thesis (Ph.D.); Submitted to University of California, Berkeley, CA (US)

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  • Report No.: LBNL--48160
  • Report No.: UCB-PTH-01/21
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 791786
  • Archival Resource Key: ark:/67531/metadc740117

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  • August 1, 2001

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  • Oct. 19, 2015, 7:39 p.m.

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  • April 4, 2016, 12:43 p.m.

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Brace, Daniel, M. Dualities in M-theory and Born-Infeld Theory, thesis or dissertation, August 1, 2001; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc740117/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.