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Three-Dimensional Gauge Theories and Gravitational Instantons from String Theory


Cherkis, Sergey A. (1998) Three-Dimensional Gauge Theories and Gravitational Instantons from String Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1c59-jj22.


Various realizations of gauge theories in string theory allow an identification of their spaces of vacua with gravitational instantons. Also, they provide a correspondence of vacua of gauge theories with nonabelian monopole configurations and solutions of a system of integrable equations called Nahm equations. These identifications make it possible to apply powerful techniques of differential and algebraic geometry to solve the gauge theories in question. In other words, it becomes possible to find the exact metrics on their moduli spaces of vacua with all quantum corrections included. As another outcome we obtain for the first time the description of a series of all Dk-type gravitational instantons.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwarz, John H.
Group:Caltech Theory
Thesis Committee:
  • Unknown, Unknown
Defense Date:15 May 1998
Record Number:CaltechTHESIS:08072017-161302326
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10372
Deposited By: Benjamin Perez
Deposited On:08 Aug 2017 15:02
Last Modified:16 Apr 2021 23:25

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