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Supersymmetry and Irrelevant Deformations.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Supersymmetry and Irrelevant Deformations./
Author:	Ferko, Christian.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	141 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-04, Section: B.
Contained By:	Dissertations Abstracts International83-04B.
Subject:	Theoretical physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28652275
ISBN:	9798460476824

Supersymmetry and Irrelevant Deformations.
Ferko, Christian.

Supersymmetry and Irrelevant Deformations. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 141 p.

Source: Dissertations Abstracts International, Volume: 83-04, Section: B.

Thesis (Ph.D.)--The University of Chicago, 2021.

This item must not be sold to any third party vendors.

The TT̅ operator provides a universal irrelevant deformation of two-dimensional quantum field theories with remarkable properties, including connections to both string theory and holography beyond AdS spacetimes. In particular, it appears that a TT̅ - deformed theory is a kind of new structure, which is neither a local quantum field theory nor a full-fledged string theory, but which is nonetheless under some analytic control. On the other hand, supersymmetry is a beautiful extension of Poincare symmetry which relates bosonic and fermionic degrees of freedom. The extra computational power provided by supersymmetry renders many calculations more tractable. It is natural to ask what one can learn about irrelevant deformations in supersymmetric quantum field theories.In this work, we describe a presentation of the TT̅ deformation in manifestly supersymmetric settings. We define a "supercurrent-squared" operator, which is closely related to TT̅ , in any two-dimensional theory with (0, 1), (1, 1), or (2, 2) supersymmetry. This deformation generates a flow equation for the superspace Lagrangian of the theory, which therefore makes the supersymmetry manifest. In certain examples, the deformed theories produced by supercurrent-squared are related to superstring and brane actions, and some of these theories possess extra non-linearly realized supersymmetries. Finally, we show that TT̅ defines a new theory of both abelian and non-abelian gauge fields coupled to charged matter, which includes models compatible with maximal supersymmetry. In analogy with the Dirac-Born-Infeld (DBI) theory, which defines a non-linear extension of Maxwell electrodynamics, these models possess a critical value for the electric field.

ISBN: 9798460476824Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

Quantum Field Theory

Supersymmetry and Irrelevant Deformations.
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100 1 $a Ferko, Christian. $3 3692127
245 1 0 $a Supersymmetry and Irrelevant Deformations.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 141 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-04, Section: B.
500 $a Advisor: Sethi, Savdeep.
502 $a Thesis (Ph.D.)--The University of Chicago, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a The TT̅ operator provides a universal irrelevant deformation of two-dimensional quantum field theories with remarkable properties, including connections to both string theory and holography beyond AdS spacetimes. In particular, it appears that a TT̅ - deformed theory is a kind of new structure, which is neither a local quantum field theory nor a full-fledged string theory, but which is nonetheless under some analytic control. On the other hand, supersymmetry is a beautiful extension of Poincare symmetry which relates bosonic and fermionic degrees of freedom. The extra computational power provided by supersymmetry renders many calculations more tractable. It is natural to ask what one can learn about irrelevant deformations in supersymmetric quantum field theories.In this work, we describe a presentation of the TT̅ deformation in manifestly supersymmetric settings. We define a "supercurrent-squared" operator, which is closely related to TT̅ , in any two-dimensional theory with (0, 1), (1, 1), or (2, 2) supersymmetry. This deformation generates a flow equation for the superspace Lagrangian of the theory, which therefore makes the supersymmetry manifest. In certain examples, the deformed theories produced by supercurrent-squared are related to superstring and brane actions, and some of these theories possess extra non-linearly realized supersymmetries. Finally, we show that TT̅ defines a new theory of both abelian and non-abelian gauge fields coupled to charged matter, which includes models compatible with maximal supersymmetry. In analogy with the Dirac-Born-Infeld (DBI) theory, which defines a non-linear extension of Maxwell electrodynamics, these models possess a critical value for the electric field.
590 $a School code: 0330.
650 4 $a Theoretical physics. $3 2144760
650 4 $a Applied physics. $3 3343996
650 4 $a Computational physics. $3 3343998
653 $a Quantum Field Theory
653 $a String theory
653 $a Supersymmetry
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690 $a 0215
690 $a 0216
710 2 $a The University of Chicago. $b Physics. $3 2102881
773 0 $t Dissertations Abstracts International $g 83-04B.
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791 $a Ph.D.
792 $a 2021
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28652275