N=2∗ $$ \mathcal{N}={2}^{\ast } $$ super-Yang-Mills theory at strong coupling

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We compute Lüscher corrections to the effective string tension in the PilchWarner background, holographically dual to N = 2 * supersymmetric Yang-Mills theory. The same quantity can be calculated directly from field theory by solving the localization matrix model at large-N . We find complete agreement between the field-theory predictions and explicit string-theory calculation at strong coupling.

Section: Introductionsupporting

confidence: 71%

Section: Jhep04(2017)095mentioning

confidence: 99%

Section: C1 Bosonic Fluctuationsmentioning

confidence: 99%

See 1 more Smart Citation

Quantum string test of nonconformal holography

Chen-Lin

Medina-Rincon

Zarembo

2017

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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: 72%

Phase transitions in 5D super Yang-Mills theory

Nedelin

2015

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.

“…Localization reduces the path integral to a matrix model giving us direct access to strong coupling, and in particular to the regime of interest for holography, when N is infinite and the 't Hooft coupling λ = g 2 YM N is large. The SYM* theory is particularly well-suited for this purpose, since its holographic dual is explicitly known [3], while the N = 2 * localization matrix model can be solved at strong coupling [4][5][6] by more or less standard methods of random matrix theory [7]. Various predictions of holography can then be confronted with ab initio evaluation of the field-theory path integral [4,8].…”

Section: Introductionmentioning

confidence: 99%

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

Chen-Lin

Zarembo

2015

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The N = 2 * Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N ) gauge group in this theory and show that the same phenomenon that causes the phase transitions at finite coupling leads to a non-analytic dependence of Wilson loops on k/N when the coupling is strictly infinite, thus making the higher-representation Wilson loops ideal holographic probes of the non-trivial phase structure of SYM*.