Index theorem for topological excitations on R^3 * S^1 and Chern-Simons theory

Poppitz, Erich; Unsal, Mithat

doi:10.48550/arxiv.0812.2085

Cited by 39 publications

(94 citation statements)

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“…Can the unresolved sector H (2,2) ( π 3 ) be interpreted as a Chern-Simons Hilbert space? We note that under certain circumstances flavor symmetry twists can induce Chern-Simons interactions [59], but in our case the R-symmetry twist alone cannot induce a low-energy Chern-Simons term because the R-symmetry is nonabelian. The Chern-Simons couplings are intimately related to the S-duality twist.…”

Section: Discussionmentioning

confidence: 65%

Ground states of S-duality twisted N = 4 super Yang-Mills theory

Ganor

Hong

Tan

2011

J. High Energ. Phys.

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We study the low-energy limit of a compactification of N = 4 U(n) super YangMills theory on S 1 with boundary conditions modified by an S-duality and R-symmetry twist. This theory has N = 6 supersymmetry in 2+1D. We analyze the T 2 compactification of this 2+1D theory by identifying a dual weakly coupled type-IIA background. The Hilbert space of normalizable ground states is finite-dimensional and appears to exhibit a rich structure of sectors. We identify most of them with Hilbert spaces of Chern-Simons theory (with appropriate gauge groups and levels). We also discuss a realization of a related twisted compactification in terms of the (2, 0)-theory, where the recent solution by Gaiotto and Witten of the boundary conditions describing D3-branes ending on a (p, q) 5-brane plays a crucial role.

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Section: Discussionmentioning

confidence: 65%

Ground states of S-duality twisted N = 4 super Yang-Mills theory

Ganor

Hong

Tan

2011

J. High Energ. Phys.

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“…However, since the topological defects are no longer dilute at large LN Λ or a large four-torus (which is suitable for lattice studies), it may be harder to probe fractional topological charge defects in this domain, see for example, [53]. Interestingly, the index obtained from lattice [52] and the one in [51] agrees. This is non-trivial and merits further study.…”

Section: A Yang-mills In Chiral Basis and Topological Defectsmentioning

confidence: 97%

“…19 19 The index theorem of Refs. [50,51] is a variant of the well-known APS index for Dirac operator on…”

Section: Open Problemsmentioning

confidence: 99%

Deconfinement in Yang-Mills theory through toroidal compactification with deformation

Simic

Ünsal

2012

Phys. Rev. D

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We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this through a double-trace deformation of toroidally compactified Yang-Mills theory onAt large N , fixed-L, and arbitrary β, the thermodynamics of the deformed theory is equivalent to that of ordinary Yang-Mills theory at leading order in the large N expansion. At fixed-N , small L and a range of β, the deformed theory maps to a two-dimensional theory with electric and magnetic (order and disorder) perturbations, analogs of which appear in planar spin-systems and statistical physics. We show that in this regime the deconfinement transition is driven by the competition between electric and magnetic perturbations in this two-dimensional theory. This appears to support the scenario proposed by Liao and Shuryak [1] regarding the magnetic component of the quark-gluon plasma at RHIC.

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“…Recent suggestions to analyze the conformal window of nonsupersymmetric gauge theories based on different model assumptions [211] are in qualitative agreement with the precise results of the all orders beta function conjecture. It is worth noting that the combination 2N f − 5N appears in the computation of the mass gap for gauge fluctuations presented in [211,212]. It would be interesting to explore a possible link between these different approaches in the future.…”

Section: Earlier Solutionsmentioning

confidence: 99%

Conformal Dynamics for TeV Physics and Cosmology

Sannino

2009

Preprint

114

193

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We introduce the topic of dynamical breaking of the electroweak symmetry and its link to unparticle physics and cosmology. The knowledge of the phase diagram of strongly coupled theories plays a fundamental role when trying to construct viable extensions of the standard model (SM). Therefore we present the state-of-the-art of the phase diagram for SU , Sp and SO gauge theories with fermionic matter transforming according to arbitrary representations of the underlying gauge group. We summarize several analytic methods used recently to acquire information about these gauge theories. We also provide new results for the phase diagram of the generalized Bars-Yankielowicz and Georgi-Glashow chiral gauge theories. These theories have been used for constructing grand unified models and have been the template for models of extended technicolor interactions. To gain information on the phase diagram of chiral gauge theories we will introduce a novel all orders beta function for chiral gauge theories. This permits the first unified study of all nonsupersymmetric gauge theories with fermionic matter representation both chiral and non-chiral. To the best of our knowledge the phase diagram of these complex models appears here for the first time. We will introduce recent extensions of the SM featuring minimal conformal gauge theories known as minimal walking models. Finally we will discuss the electroweak phase transition at nonzero temperature for models of dynamical electroweak symmetry breaking.

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Index theorem for topological excitations on R^3 * S^1 and Chern-Simons theory

Cited by 39 publications

References 0 publications

Ground states of S-duality twisted N = 4 super Yang-Mills theory

Ground states of S-duality twisted N = 4 super Yang-Mills theory

Deconfinement in Yang-Mills theory through toroidal compactification with deformation

Conformal Dynamics for TeV Physics and Cosmology

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