Holographic dual of the Eguchi-Kawai mechanism

We describe a one-parameter family of new holographic RG flows that start from AdS 4 × S 7 and go to AdS 5 × B 6 , where B 6 is conformal to a Kähler manifold and AdS 5 is Poincaré AdS 5 with one spatial direction compactified and fibered over B 6 . The new solutions "flow up dimensions," going from the (2 + 1)-dimensional conformal field theory on M2 branes in the UV to a (3 + 1)-dimensional field theory on intersecting M5 branes in the infra-red. The M2 branes completely polarize into M5 branes along the flow and the Poincaré sections of the AdS 5 are the (3 + 1)-dimensional common intersection of the M5 branes. The emergence of the extra dimension in the infra-red suggests a new strongly-coupled phase of the M2 brane and ABJM theories in which charged solitons are becoming massless. The flow solution is first analyzed by finding a four-dimensional N = 2 supersymmetric flow in N = 8 gauged supergravity. This is then generalized to a one parameter family of non-supersymmetric flows. The infra-red limit of the solutions appears to be quite singular in four dimensions but the uplift to eleven-dimensional supergravity is remarkable and regular (up to orbifolding). Our construction is a non-trivial application of the recently derived uplift formulae for fluxes, going well beyond the earlier constructions of stationary points solutions. The eleven-dimensional supersymmetry is also analyzed and shows how, for the supersymmetric flow, the M2-brane supersymmetry in the UV is polarized entirely into M5-brane supersymmetry in the infra-red.

Section: Introductionmentioning

confidence: 99%

Flowing to higher dimensions: a new strongly-coupled phase on M2 branes

Pilch

Tyukov

Warner

2015

“…Finally, it would be interesting to generalize our calculations to other string solutions in the Pilch-Warner background [4,33,34], to the string dual of the pure N = 2 theory [35,36], where a remarkable match between localization results for Wilson loops and supergravity has been observed [37], and to backgrounds with N = 1 supersymmetry, such as the Polchinski-Strassler background [38] or its S 4 counterpart [39], albeit in this case no fieldtheory predictions are available yet.…”

Section: Jhep04(2017)095mentioning

confidence: 99%

Quantum string test of nonconformal holography

Chen-Lin

Medina-Rincon

Zarembo

2017

Self Cite

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.

“…The rest of the paper will leverage this structure to learn primarily about universal features of gravity, but also to learn about the Eguchi-Kawai mechanism in large-N gauge theories. For some previous work exploring the Eguchi-Kawai mechanism in holography, see [16][17][18][19].…”

mentioning

confidence: 99%

Emergent gravity from Eguchi-Kawai reduction

Shaghoulian

2017

Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin holographic duality is presented as a failure of the Eguchi-Kawai mechanism, and its restoration illustrates the deformation of higher-spin theory into a proper string theory with a local gravitational limit. AdS/CFT is used to provide a calculable extension of the Eguchi-Kawai mechanism to field theories on curved manifolds and thereby introduce "topological volume independence." Finally, I discuss implications for a general understanding of the extensivity of the Bekenstein-Hawking-Wald entropy.Comment: 29 pages plus appendices, v2-v3: references added and typos correcte