Higher rank Wilson loops in N = 2∗ super-Yang-Mills theory

Chen-Lin, Xinyi; Zarembo, Konstantin

doi:10.1007/jhep03(2015)147

Cited by 24 publications

(36 citation statements)

References 35 publications

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“…Finally, at very strong coupling cusps of the distribution smooth out and the solution approaches the one obtained in [23]. This interesting phase structure of N = 2 * SYM on S 4 was investigated in details in the series of papers [22,[24][25][26][27][28]. Later these results were generalized to the decompactification limit of N = 2 * SYM on the ellipsoids in [29].…”

Section: Jhep07(2015)004 1 Introduction and Main Resultsmentioning

confidence: 71%

Phase transitions in 5D super Yang-Mills theory

Nedelin

2015

J. High Energ. Phys.

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In this paper we study a phase structure of 5D N = 1 super Yang-Mills theory with massive matter multiplets and SU(N ) gauge group. In particular, we are interested in two cases: theory with N f massive hypermultiplets in the fundamental representation and theory with one adjoint massive hypermultiplet. If these theories are considered on S 5 their partition functions can be localized to matrix integrals, which can be approximated by their values at saddle points in the large-N limit. We solve saddle point equations corresponding to the decompactification limit of both theories. We find that in the case of the fundamental hypermultiplets theory experiences third-order phase transition when coupling is varied. We also show that in the case of one adjoint hypermultiplet theory experiences infinite chain of third-order phase transitions, while interpolating between weak and strong coupling regimes.

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Section: Jhep07(2015)004 1 Introduction and Main Resultsmentioning

confidence: 71%

Phase transitions in 5D super Yang-Mills theory

Nedelin

2015

J. High Energ. Phys.

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“…There are other supersymmetric Wilson loops in the N = 2 * theory on S 4 whose vevs can be computed in the planar limit using supersymmetric localization, see for example [8,[37][38][39]. For large values of λ these field theory calculations should be compared with supergravity.…”

Section: Discussionmentioning

confidence: 99%

Precision holography for $$ \mathcal{N}={2}^{\ast } $$ on S4 from type IIB supergravity

Bobev

Gautason

Muiden³

2018

J. High Energ. Phys.

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We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional N = 2 * supersymmetric Yang-Mills theory on S 4 . We study a probe fundamental string in this background which is dual to a supersymmetric Wilson loop in the N = 2 * theory. Using holography we calculate the expectation value of this line operator to leading order in the 't Hooft coupling. The result is a non-trivial function of the mass parameter of the N = 2 * theory that precisely matches the result from supersymmetric localization.

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“… 26). with (f ) = 0 for f < 12 1 + 2 m − mλ − m + m − m 2 λ 2 (1−χ) and 1 for f > 1 2 1 + 2 m − mλ − m + m − m 2 λ 2 (1−χ) + χ 2 .…”

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Phase transitions and Wilson loops in antisymmetric representations in Chern–Simons-matter theory

Santilli¹,

Tierz²

2019

J. Phys. A: Math. Theor.

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We study the phase transitions of three-dimensional N = 2 U (N ) Chern-Simons theory on S 3 with a varied number of massive fundamental hypermultiplets and with a Fayet-Iliopoulos parameter. We characterize the various phase diagrams in the decompactification limit, according to the number of different mass scales in the theory. For this, we extend the known solution of the saddle-point equations to the setting where the one cut solution is characterized by asymmetric intervals. We then study the large N limit of Wilson loops in antisymmetric representations, with the additional scaling corresponding to the variation of the size of the representation. We give explicit expressions, both with and without FI terms, and study 1/R corrections for the different phases. These corrections break the perimeter law behavior, as they introduce a scaling with the size of the representation. We show how the phase transitions of the Wilson loops can either be of first or second order and determine the underlying mechanism in terms of the eventual asymmetry of the support of the solution of the saddle-point equation, at the critical points. arXiv:1808.02855v2 [hep-th] 28 Aug 2018 7 Outlook 46 A Free energy second derivatives 47 A.0.1 ζ < m 1 with two mass scales 47 A.0.2 ζ < m 1 with one mass scale 47 A.0.3 ζ > m 1 with two mass scales 48 B Regions with no saddle point 48 B.0.1 Re (z) > 1 or Re (z) < −1 48 B.0.2 Re (z) around ±1

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Higher rank Wilson loops in N = 2∗ super-Yang-Mills theory

Cited by 24 publications

References 35 publications

Phase transitions in 5D super Yang-Mills theory

Phase transitions in 5D super Yang-Mills theory

Precision holography for $$ \mathcal{N}={2}^{\ast } $$ on S4 from type IIB supergravity

Phase transitions and Wilson loops in antisymmetric representations in Chern–Simons-matter theory

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