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String Theory, Strongly Correlated S...

Torres Chicon, Nesty Ray.

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String Theory, Strongly Correlated Systems, and Duality Twists.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	String Theory, Strongly Correlated Systems, and Duality Twists./
作者:	Torres Chicon, Nesty Ray.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	110 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-06(E), Section: B.
Contained By:	Dissertation Abstracts International78-06B(E).
標題:	Quantum physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10192415
ISBN:	9781369558869

String Theory, Strongly Correlated Systems, and Duality Twists.
Torres Chicon, Nesty Ray.

String Theory, Strongly Correlated Systems, and Duality Twists. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 110 p.

Source: Dissertation Abstracts International, Volume: 78-06(E), Section: B.

Thesis (Ph.D.)--University of California, Berkeley, 2016.

In the first part of this dissertation (Chapter 1), I present a construction of a six dimensional (2,0)-theory model that describes the dynamics of the Fractional Quantum Hall Effect (FQHE). The FQHE appears as part of the low energy description of the Coulomb branch of the A1 (2,0)-theory formulated on a geometry (S 1 x R2)/Zk. At low-energy, the configuration is described in terms of a 4+1D supersymmetric Yang-Mills (SYM) theory on a cone (R2/Z k) with additional 2+1D degrees of freedom at the tip of the cone that include fractionally charged particles. These fractionally charged "quasi-particles" are BPS strings of the (2,0)-theory wrapped on short cycles. In this framework, a W-boson can be modeled as a bound state of k quasi-particles, which can be used to understand the dynamics of the FQHE.

ISBN: 9781369558869Subjects--Topical Terms:

726746
Quantum physics.

String Theory, Strongly Correlated Systems, and Duality Twists.
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245 1 0 $a String Theory, Strongly Correlated Systems, and Duality Twists.
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500 $a Source: Dissertation Abstracts International, Volume: 78-06(E), Section: B.
500 $a Adviser: Ori J. Ganor.
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520 $a In the first part of this dissertation (Chapter 1), I present a construction of a six dimensional (2,0)-theory model that describes the dynamics of the Fractional Quantum Hall Effect (FQHE). The FQHE appears as part of the low energy description of the Coulomb branch of the A1 (2,0)-theory formulated on a geometry (S 1 x R2)/Zk. At low-energy, the configuration is described in terms of a 4+1D supersymmetric Yang-Mills (SYM) theory on a cone (R2/Z k) with additional 2+1D degrees of freedom at the tip of the cone that include fractionally charged particles. These fractionally charged "quasi-particles" are BPS strings of the (2,0)-theory wrapped on short cycles. In this framework, a W-boson can be modeled as a bound state of k quasi-particles, which can be used to understand the dynamics of the FQHE.
520 $a In the second part of this dissertation (Chapters 2-3), I investigate the N=4 SYM theory compactified on a circle, with a varying coupling constant (Janus configuration) and an S-duality twist. I relate this setup to a three dimensional topological theory and to a dual string theory. The equality of these descriptions is exhibited by matching the operator algebra, and the dimensions of the Hilbert space. Additionally, this dissertation addresses a classic result in number theory, called quadratic reciprocity, using string theory language. I present a proof that quadratic reciprocity is a direct consequence of T-duality of Type-II string theory. This is demonstrated by analyzing a partition function of abelian N=4 SYM theory on a certain supersymmetry-preserving four-manifold with variable coupling constant and a SL(2,Z)-duality twist.
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