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Three instanton computations in gaug...

Beasley, Christopher Edward.

Three instanton computations in gauge theory and string theory.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Three instanton computations in gauge theory and string theory.
Author:	Beasley, Christopher Edward.
Description:	284 p.
Notes:	Adviser: Edward Witten.
Notes:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1523.
Contained By:	Dissertation Abstracts International66-03B.
Subject:	Physics, Elementary Particles and High Energy.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3169786
ISBN:	9780542059421

Three instanton computations in gauge theory and string theory.
Beasley, Christopher Edward.

Three instanton computations in gauge theory and string theory. - 284 p.

Adviser: Edward Witten.

Thesis (Ph.D.)--Princeton University, 2005.

First, we consider supersymmetric QCD with gauge group SU( Nc) and with Nf flavors. In this theory, it is well known that instantons generate a superpotential if Nf = Nc - 1 and deform the moduli space of supersymmetric vacua if Nf = Nc. We extend these results to supersymmetric QCD with Nf > Nc flavors, for which we show that instantons generate a hierarchy of new, multi-fermion F-terms in the effective action.

ISBN: 9780542059421Subjects--Topical Terms:

227490
Physics, Elementary Particles and High Energy.

Three instanton computations in gauge theory and string theory.
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100 0 $a Beasley, Christopher Edward. $3 244666
245 1 0 $a Three instanton computations in gauge theory and string theory.
300 $a 284 p.
500 $a Adviser: Edward Witten.
500 $a Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1523.
502 $a Thesis (Ph.D.)--Princeton University, 2005.
520 # $a First, we consider supersymmetric QCD with gauge group SU( Nc) and with Nf flavors. In this theory, it is well known that instantons generate a superpotential if Nf = Nc - 1 and deform the moduli space of supersymmetric vacua if Nf = Nc. We extend these results to supersymmetric QCD with Nf > Nc flavors, for which we show that instantons generate a hierarchy of new, multi-fermion F-terms in the effective action.
520 # $a Second, we revisit the question of which Calabi-Yau compactifications of the heterotic string are stable under worldsheet instanton corrections to the effective space-time superpotential. For instance, compactifications described by (0, 2) linear sigma models are believed to be stable, suggesting a remarkable cancellation among the instanton effects in these theories. We show that this cancellation follows directly from a residue theorem, whose proof relies only upon the right-moving worldsheet supersymmetries and suitable compactness properties of the (0, 2) linear sigma model. We also extend this residue theorem to a new class of "half-linear" sigma models. Using these half-linear models, we show that heterotic compactifications on the quintic hypersurface in CP4 for which the gauge bundle pulls back from a bundle on CP4 are stable.
520 # $a Third, we study Chern-Simons gauge theory on a Seifert manifold M (the total space of a nontrivial circle bundle over a Riemann surface). When M is a Seifert manifold, Lawrence and Rozansky have shown from the exact solution of Chern-Simons theory that the partition function has a remarkably simple structure and can be rewritten entirely as a sum of local "instanton" contributions from the flat connections on M. We explain how this empirical fact follows from the technique of non-abelian localization as applied to the Chern-Simons path integral. In the process, we show that the partition function of Chern-Simons theory on M admits a topological interpretation in terms of the equivariant cohomology of the moduli space of flat connections on M.
520 # $a We employ a variety of ideas from geometry and topology to perform three new instanton computations in gauge theory and string theory.
590 $a School code: 0181.
650 # 0 $a Physics, Elementary Particles and High Energy. $3 227490
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710 0 # $a Princeton University. $3 212488
773 0 # $g 66-03B. $t Dissertation Abstracts International
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790 1 0 $a Witten, Edward, $e advisor
791 $a Ph.D.
792 $a 2005
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