Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems

Ganguli, Surya; Ganor, Ori; Gill, James Alexander

doi:10.1088/1126-6708/2004/09/014

Cited by 3 publications

(4 citation statements)

References 37 publications

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“…The key difference is that in the present proposal, the supersymmetry breaking is a soft breaking by boundary conditions, allowing the delicate cancellations required for a dual gravitational interpretation of the gauge theory. The boundary condition is twisted by an element of the R-symmetry, of the sort studied in [16][17][18]. We will focus on R-symmetry twists that preserve no supersymme-try.…”

Section: Introductionmentioning

confidence: 99%

Non-supersymmetric string theory

Martinec

Robbins

Sethi

2011

J. High Energ. Phys.

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A class of non-supersymmetric string backgrounds can be constructed using twists that involve space-time fermion parity. We propose a non-perturbative definition of string theory in these backgrounds via gauge theories with supersymmetry softly broken by twisted boundary conditions. The perturbative string spectrum is reproduced, and qualitative effects of the interactions are discussed. Along the way, we find an interesting mechanism for inflation. The end state of closed string tachyon condensation is a highly excited state in the gauge theory which, in all likelihood, does not have a geometric interpretation.

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Section: Introductionmentioning

confidence: 99%

Non-supersymmetric string theory

Martinec

Robbins

Sethi

2011

J. High Energ. Phys.

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“…The relevance of our construction to this circle of the problems had got an additional evidence in the paper [35]. Recent discussions around of the integrability in Dijkgraaf-Vafa and Seiberg-Witten theory provide us with the "physical" insights to support the relation between the Beauville-Mukai and Double Elliptic IS ( see [6], [5]).…”

Section: Discussion and Future Problemsmentioning

confidence: 79%

“…Recent discussions around of the integrability in Dijkgraaf-Vafa and Seiberg-Witten theory provide us with the "physical" insights to support the relation between the Beauville-Mukai and Double Elliptic IS ( see [6], [5]). …”

Section: Discussion and Future Problemsmentioning

confidence: 99%

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Integrable systems associated with elliptic algebras

Odesskii

Rubtsov

2008

IRMA Lectures in Mathematics and Theoretical Physics

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Abstract. We construct some new Integrable Systems (IS) both classical and quantum associated with elliptic algebras. Our constructions are partly based on the algebraic integrability mechanism given by the existence of commuting families in skew fields and partly -on the internal properties of the elliptic algebras and their representations. We give some examples to make an evidence how these IS are related to previously studied.Introduction. This paper is an attempt to establish a direct connection between two close subjects of modern Mathematical Physics -the theory of Integrable Systems (IS) and the Elliptic Algebras. The aim of this connection is two-fold: we clarify some our recent results in the both domains and fill the natural gap proving that some large class of the Elliptic Algebras carries in fact the structure of an IS.We will start with a short account in the subject of the story and will describe briefly a type of the IS's under cosideration.In [12], B.Enriquez and second author had proposed a construction of commuting families of elements in skew fields. They explained how to use this construction in Poisson fraction fields to give an another proof of the integrability of Beauville -Mukai integrable systems associated with a K3 surface S ([1]).The Beauville-Mukai systems had appeared as the Lagrangian fibrations which have the formis the Hilbert scheme of g points of S, equipped with a symplectic structure introduced in [19], and L is a line bundle on S. Later, the authors of [8] explained that these systems are natural deformations of the "separated" (in the sense of [13]) versions of Hitchin's integrable systems, more precisely, of their description in terms of spectral curves (already present in [15]). Beauville-Mukai systems can be generalized to surfaces with a Poisson structure (see [3]). When S is the canonical cone Cone(C) of an algebraic curve C these systems coincide with the separated version of Hitchin's systems. The paper [12] shows how the commuting families construction provides a quantization of these systems on the canonical cone.A quantization of Hitchin's system was proposed in [2]. It seems interesting to construct quantization of Beauville-Mukai systems and to compare it with Beilinson -Drinfeld quantization. We had conjectured the correspondence between the results of [2] and a quantization of fraction fields in [9]. A part of this program

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Simulation of Orbital Debris Impact on Porous Ceramic Tiles

Lee

Fahrenthold

2014

Journal of Spacecraft and Rockets

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Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems

Cited by 3 publications

References 37 publications

Non-supersymmetric string theory

Non-supersymmetric string theory

Integrable systems associated with elliptic algebras

Simulation of Orbital Debris Impact on Porous Ceramic Tiles

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