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New Dualities of Supersymmetric Gauge Theories

2015-11-17 Science
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Release : 2015-11-17
Genre : Science
Kind : eBook
Book Rating : 694/5 ( reviews)

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Book Synopsis New Dualities of Supersymmetric Gauge Theories by : Jörg Teschner

Download or read book New Dualities of Supersymmetric Gauge Theories written by Jörg Teschner. This book was released on 2015-11-17. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the long-standing electric-magnetic duality conjectures The book starts with an introductory article presenting a survey of recent advances, aimed at a wide audience with a background and interest in theoretical physics. The following articles are written for advanced students and researchers in quantum field theory, string theory and mathematical physics, our goal being to familiarize these readers with the forefront of current research. The topics covered include recent advances in the classification and vacuum structure of large families of N=2 supersymmetric field theories, followed by an extensive discussion of the localisation method, one of the most powerful tools for exact studies of supersymmetric field theories. The quantities that have been studied in this way are partition functions, expectation values of line operators, and supersymmetric indices. The book also reviews recently discovered connections between SUSY field theories in four dimensions and two-dimensional conformal field theory. These connections have a counterpart in relations between three-dimensional gauge theories and Chern-Simons theory; the book’s closing chapters explore connections with string theory.

Duality in Supersymmetric Gauge Theories and Other Topics in Supersymmetry

1996
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Release : 1996
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Book Synopsis Duality in Supersymmetric Gauge Theories and Other Topics in Supersymmetry by : Philippe Pouliot

Download or read book Duality in Supersymmetric Gauge Theories and Other Topics in Supersymmetry written by Philippe Pouliot. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

N=2 Supersymmetric Dynamics for Pedestrians

2014-10-15 Science
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Release : 2014-10-15
Genre : Science
Kind : eBook
Book Rating : 22X/5 ( reviews)

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Book Synopsis N=2 Supersymmetric Dynamics for Pedestrians by : Yuji Tachikawa

Download or read book N=2 Supersymmetric Dynamics for Pedestrians written by Yuji Tachikawa. This book was released on 2014-10-15. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.

New Dualities in Supersymmetric Chiral Gauge Theories

2011
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Release : 2011
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Book Synopsis New Dualities in Supersymmetric Chiral Gauge Theories by :

Download or read book New Dualities in Supersymmetric Chiral Gauge Theories written by . This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: We analyze the phase structure of supersymmetric chiral gauge theories with gauge group SU(N), an antisymmetric, and F ≤ N + 3 flavors, in the presence of a cubic superpotential. When F = N + 3 the theory flows to a superconformal fixed point in the infrared, and new dual descriptions of this theory are uncovered. The theory with odd N admits a self-dual magnetic description. For general N, we find an infinite family of magnetic dual descriptions, characterized by arbitrarily large gauge groups and additional classical global symmetries that are truncated by nonperturbative effects. The infrared dynamics of these theories are analyzed using a-maximization, which supports the claim that all these theories flow to the same superconformal fixed point. A very rich phase structure is found when the number of flavors is reduced below N + 3, including a new self-dual point, transitions from conformal to confining, and a nonperturbative instability for F ≤ N. We also give examples of chiral theories with antisymmetrics that have nonchiral duals.

Gauge Theories, Applied Supersymmetry And Quantum Gravity Ii - Proceedings Of The Workshop

1997-06-19 Science
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Release : 1997-06-19
Genre : Science
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Book Rating : 497/5 ( reviews)

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Book Synopsis Gauge Theories, Applied Supersymmetry And Quantum Gravity Ii - Proceedings Of The Workshop by : Alexander Sevrin

Download or read book Gauge Theories, Applied Supersymmetry And Quantum Gravity Ii - Proceedings Of The Workshop written by Alexander Sevrin. This book was released on 1997-06-19. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a meeting held at Imperial College which is devoted to recent developments in string theory, supersymmetry and quantum gravity. The volume comprises two different sections. The first consists of five pedagogical reviews by prominent physicists, covering the currently important subjects of supermembranes, duality, D-branes, new non-perturbative methods and string phenomenology. The second section consists of research reports in these areas and also on other currently important topics such as supersymmetric gauge theories, two-dimensional quantum gravity and black holes.

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