Geometry, topology, and string theory

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Description

A variety of scenarios are considered which shed light upon the uses and limitations of classical geometric and topological notions in string theory. The primary focus is on situations in which D-brane or string probes of a given classical space-time see the geometry quite differently than one might naively expect. In particular, situations in which extra dimensions, non-commutative geometries as well as other non-local structures emerge are explored in detail. Further, a preliminary exploration of such issues in Lorentzian space-times with non-trivial causal structures within string theory is initiated.

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Varadarajan, Uday July 10, 2003.

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This thesis or dissertation is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this document can be viewed below.

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Description

A variety of scenarios are considered which shed light upon the uses and limitations of classical geometric and topological notions in string theory. The primary focus is on situations in which D-brane or string probes of a given classical space-time see the geometry quite differently than one might naively expect. In particular, situations in which extra dimensions, non-commutative geometries as well as other non-local structures emerge are explored in detail. Further, a preliminary exploration of such issues in Lorentzian space-times with non-trivial causal structures within string theory is initiated.

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vp.

Notes

INIS; OSTI as DE00813395

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

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  • Report No.: LBNL--53120
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 813395
  • Archival Resource Key: ark:/67531/metadc738817

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Creation Date

  • July 10, 2003

Added to The UNT Digital Library

  • Oct. 18, 2015, 6:40 p.m.

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  • April 4, 2016, 1:02 p.m.

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Varadarajan, Uday. Geometry, topology, and string theory, thesis or dissertation, July 10, 2003; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc738817/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.