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Evnin, Oleg (2006-05-26) On quantum interacting embedded geometrical objects of various dimensions. http://resolver.caltech.edu/CaltechETD:etd-06072006-174745


Type of Document Dissertation
Author Evnin, Oleg
URN etd-06072006-174745
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-06072006-174745
Title On quantum interacting embedded geometrical objects of various dimensions
Degree PhD
Option Physics
Advisory Committee
Advisor Name Title
John H. Schwarz Committee Chair
Anton N. Kapustin Committee Member
John P. Preskill Committee Member
Sergei Gukov Committee Member
Keywords
  • quantum geometry
  • string theory
  • D-branes
  • topological defects
  • solitons
  • annihilation
  • recoil
Date of Defense 2006-05-26
Availability unrestricted
Abstract
Modern string theory naturally gives rise to an assortment of dynamical geometrical objects of various dimensions (collectively referred to as "branes") embedded into spacetime. The aim of this thesis is to present a series of results (of varying novelty and rigor) pertinent to dynamics of the low-dimensional geometrical objects of this kind. The processes considered are the D0-brane recoil and annihilation, "local recoil" of D1-branes (which is a peculiar effect manifested by one-dimensional topological defects in response to an impact, and closely related to soliton recoil), and D- and F-string loop mixing. Apart from the practical relevance within the formalism of string theory, such considerations are worthwhile in that the quantum dynamics of the geometrical objects involved is complex enough to be interesting, yet simple enough to be tractable. Furthermore, some of the results derived here within the string theory formalism may give valuable insights into the dynamics of low-dimensional field-theoretical topological defects.
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