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Aspects of Supersymmetric Surface De...

Haouzi, Nathan.

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Aspects of Supersymmetric Surface Defects.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Aspects of Supersymmetric Surface Defects./
Author:	Haouzi, Nathan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	148 p.
Notes:	Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
Contained By:	Dissertation Abstracts International80-03B(E).
Subject:	Theoretical physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10929494
ISBN:	9780438654280

Aspects of Supersymmetric Surface Defects.
Haouzi, Nathan.

Aspects of Supersymmetric Surface Defects. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 148 p.

Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.

Thesis (Ph.D.)--University of California, Berkeley, 2018.

Starting from type IIB string theory on an ADE singularity, the N = (2,0) little string arises when one takes the string coupling gs to 0. We compactify the little string on the cylinder with punctures, which we fully characterize, for any simple Lie algebra g. Geometrically, these punctures are codimension two defects that are D5 branes wrapping 2-cycles of the singularity. Equivalently, the defects are specified by a certain set of weights of Lg, the Langlands dual of g. As a first application of our formalism, we show that at low energies, the defects have a description as a g-type quiver gauge theory. We compute its partition function, and prove that it is equal to a conformal block of g-type q-deformed Toda theory on the cylinder, in the Coulomb gas formalism. After taking the string scale limit m s → infinity, the little string becomes a (2,0) superconformal field theory (SCFT). As a second application, we study how this limit affects the codimension two defects of the SCFT: we show that the Coulomb branch of a given defect flows to a nilpotent orbit of g, and that all nilpotent orbits of g arise in this way. We give a physical realization of the Bala--Carter labels that classify nilpotent orbits of simple Lie algebras, and we interpret our results in the context of g-type Toda. Finally, after compactifying our setup on a torus T2, we make contact with the description of surface defects of 4d N = 4 Super Yang-Mills theory due to Gukov and Witten (2006).

ISBN: 9780438654280Subjects--Topical Terms:

2144760
Theoretical physics.

Aspects of Supersymmetric Surface Defects.
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245 1 0 $a Aspects of Supersymmetric Surface Defects.
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300 $a 148 p.
500 $a Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
500 $a Adviser: Mina Aganagic.
502 $a Thesis (Ph.D.)--University of California, Berkeley, 2018.
520 $a Starting from type IIB string theory on an ADE singularity, the N = (2,0) little string arises when one takes the string coupling gs to 0. We compactify the little string on the cylinder with punctures, which we fully characterize, for any simple Lie algebra g. Geometrically, these punctures are codimension two defects that are D5 branes wrapping 2-cycles of the singularity. Equivalently, the defects are specified by a certain set of weights of Lg, the Langlands dual of g. As a first application of our formalism, we show that at low energies, the defects have a description as a g-type quiver gauge theory. We compute its partition function, and prove that it is equal to a conformal block of g-type q-deformed Toda theory on the cylinder, in the Coulomb gas formalism. After taking the string scale limit m s → infinity, the little string becomes a (2,0) superconformal field theory (SCFT). As a second application, we study how this limit affects the codimension two defects of the SCFT: we show that the Coulomb branch of a given defect flows to a nilpotent orbit of g, and that all nilpotent orbits of g arise in this way. We give a physical realization of the Bala--Carter labels that classify nilpotent orbits of simple Lie algebras, and we interpret our results in the context of g-type Toda. Finally, after compactifying our setup on a torus T2, we make contact with the description of surface defects of 4d N = 4 Super Yang-Mills theory due to Gukov and Witten (2006).
590 $a School code: 0028.
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773 0 $t Dissertation Abstracts International $g 80-03B(E).
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