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BPS geometry, AdS/CFT, and string th...

Lin, Hai.

BPS geometry, AdS/CFT, and string theory.

Record Type:	Electronic resources : Monograph/item
Title/Author:	BPS geometry, AdS/CFT, and string theory.
Author:	Lin, Hai.
Description:	165 p.
Notes:	Adviser: Juan M. Maldacena.
Notes:	Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3207.
Contained By:	Dissertation Abstracts International67-06B.
Subject:	Physics, Theory.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3223834
ISBN:	9780542747175

BPS geometry, AdS/CFT, and string theory.
Lin, Hai.

BPS geometry, AdS/CFT, and string theory. - 165 p.

Adviser: Juan M. Maldacena.

Thesis (Ph.D.)--Princeton University, 2006.

We first study BPS geometries dual to half-BPS states of field theories with 32 supercharges. These field theories are N = 4 SYM on R x S3, M2 brane theory and M5 brane theory. The dynamics of the half-BPS states in N = 4 SYM is reduced to a matrix quantum mechanics, and they are characterized by droplets on the two dimensional phase space. The geometries dual to these states are specified by boundary conditions on a two-plane, which are identified as the phase space. The phase space gives unified description of half-BPS perturbative and non-perturbative excitations above AdS 5 x S5. The half-BPS geometries in the M theory case are described by a Toda equation with similar but more complicated boundary conditions on a two-plane.

ISBN: 9780542747175Subjects--Topical Terms:

264127
Physics, Theory.

BPS geometry, AdS/CFT, and string theory.
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100 0 $a Lin, Hai. $3 264173
245 1 0 $a BPS geometry, AdS/CFT, and string theory.
300 $a 165 p.
500 $a Adviser: Juan M. Maldacena.
500 $a Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3207.
502 $a Thesis (Ph.D.)--Princeton University, 2006.
520 # $a We first study BPS geometries dual to half-BPS states of field theories with 32 supercharges. These field theories are N = 4 SYM on R x S3, M2 brane theory and M5 brane theory. The dynamics of the half-BPS states in N = 4 SYM is reduced to a matrix quantum mechanics, and they are characterized by droplets on the two dimensional phase space. The geometries dual to these states are specified by boundary conditions on a two-plane, which are identified as the phase space. The phase space gives unified description of half-BPS perturbative and non-perturbative excitations above AdS 5 x S5. The half-BPS geometries in the M theory case are described by a Toda equation with similar but more complicated boundary conditions on a two-plane.
520 # $a We then study BPS geometries dual to the vacua of field theories with 16 supercharges. The first class of theory has a bosonic U(1) x SO(4) x SO(4) symmetry, they include the mass deformed M2 brane theory, D4 or M5 brane theory on S3, and intersecting NS5 brane theory. Their vacua are characterized by droplets on a cylinder or torus. The second class of theory has a SU(2|4) symmetry, they include the 0+1d plane-wave matrix model, 2+1d super Yang-Mills theory on R x S2, N = 4 Super Yang-Mills on R x S 3/Zk, and NS5 brane theory on R x S5. The vacua of these theories are described by electrostatic configurations with many disks under external potential. The region between disks describe NS5 brane geometries. Finally we study instanton solutions and superpotentials for the vacua of the plane-wave matrix model and 2+1d super Yang-Mills theory and discuss the emergence of the vacuum geometries.
590 $a School code: 0181.
650 # 0 $a Physics, Theory. $3 264127
650 # 0 $a Physics, Elementary Particles and High Energy. $3 227490
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773 0 # $g 67-06B. $t Dissertation Abstracts International
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790 1 0 $a Maldacena, Juan M., $e advisor
791 $a Ph.D.
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