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Geometric Approaches to Quantum Fields and Strings at Strong Couplings.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric Approaches to Quantum Fields and Strings at Strong Couplings./
作者:	Rochais, Thomas.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
面頁冊數:	560 p.
附註:	Source: Dissertations Abstracts International, Volume: 82-12, Section: B.
Contained By:	Dissertations Abstracts International82-12B.
標題:	Physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28321448
ISBN:	9798738617676

Geometric Approaches to Quantum Fields and Strings at Strong Couplings.
Rochais, Thomas.

Geometric Approaches to Quantum Fields and Strings at Strong Couplings. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 560 p.

Source: Dissertations Abstracts International, Volume: 82-12, Section: B.

Thesis (Ph.D.)--University of Pennsylvania, 2021.

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

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In this thesis we look at several conformal field theories in various dimensions. We first discuss the structure of the nilpotent networks stemming from T-brane deformations in 4D \uD835\uDCA9=1 theories and then go to the stringy origins of 6D superconformal field theories to realize deformations associated with T-branes in terms of simple combinatorial data. We then analyze non-perturbative generalizations of orientifold 3-planes (i.e. S-folds) in order to produce different 4D \uD835\uDCA9=2 theories. Afterwards, we turn our attention towards a few dualities found at strong coupling. For instance, abelian T-duality is known to be a full duality in string theory between type IIA and type IIB. Its nonabelian generalization, Poisson-Lie T-duality, has only been conjectured to be so. We show that Poisson-Lie symmetric σ-models are at least two-loop renormalizable and their β-functions are invariant under Poisson-Lie T-duality. Finally, we review recent progress leading to phenomenologically relevant dualities between M-theory on local G2 spaces and F-theory on locally elliptically fibered Calabi-Yau fourfolds. In particular, we find that the 3D \uD835\uDCA9=1 effective field theory defined by M-theory on a local Spin(7) space unifies the Higgs bundle data associated with 4D \uD835\uDCA9 =1 M-theory and F-theory vacua. We finish with some comments on 3D interfaces at strong coupling.

ISBN: 9798738617676Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

CFT

Geometric Approaches to Quantum Fields and Strings at Strong Couplings.
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245 1 0 $a Geometric Approaches to Quantum Fields and Strings at Strong Couplings.
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300 $a 560 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-12, Section: B.
500 $a Advisor: Heckman, Jonathan J.
502 $a Thesis (Ph.D.)--University of Pennsylvania, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In this thesis we look at several conformal field theories in various dimensions. We first discuss the structure of the nilpotent networks stemming from T-brane deformations in 4D \uD835\uDCA9=1 theories and then go to the stringy origins of 6D superconformal field theories to realize deformations associated with T-branes in terms of simple combinatorial data. We then analyze non-perturbative generalizations of orientifold 3-planes (i.e. S-folds) in order to produce different 4D \uD835\uDCA9=2 theories. Afterwards, we turn our attention towards a few dualities found at strong coupling. For instance, abelian T-duality is known to be a full duality in string theory between type IIA and type IIB. Its nonabelian generalization, Poisson-Lie T-duality, has only been conjectured to be so. We show that Poisson-Lie symmetric σ-models are at least two-loop renormalizable and their β-functions are invariant under Poisson-Lie T-duality. Finally, we review recent progress leading to phenomenologically relevant dualities between M-theory on local G2 spaces and F-theory on locally elliptically fibered Calabi-Yau fourfolds. In particular, we find that the 3D \uD835\uDCA9=1 effective field theory defined by M-theory on a local Spin(7) space unifies the Higgs bundle data associated with 4D \uD835\uDCA9 =1 M-theory and F-theory vacua. We finish with some comments on 3D interfaces at strong coupling.
590 $a School code: 0175.
650 4 $a Physics. $3 516296
650 4 $a Quantum physics. $3 726746
653 $a CFT
653 $a Quantum fields
653 $a String theory
653 $a Geometric structures
653 $a Coupling effects
653 $a Nilpotent networks
653 $a T-brane deformations
653 $a Superconformal field theories
653 $a Orientifold 3-planes
653 $a Dualities
653 $a 3D interfaces
653 $a Perturbative techniques
690 $a 0605
690 $a 0599
710 2 $a University of Pennsylvania. $b Physics and Astronomy. $3 2101621
773 0 $t Dissertations Abstracts International $g 82-12B.
790 $a 0175
791 $a Ph.D.
792 $a 2021
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28321448