Eschenburg space as gravity dual of flavored 𝒩 = 4 Chern-Simons-matter theory

Fujita, Mitsutoshi; Tai, Ta-Sheng

doi:10.1088/1126-6708/2009/09/062

Cited by 23 publications

(27 citation statements)

References 61 publications

(118 reference statements)

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“…In this section, we review the N = 3 Chern-Simons matter theory with flavor, which can be constructed from the d = 3 N = 4 Chern-Simons matter theory by adding flavor fields [31] (see also Refs. [28][29][30]).…”

Section: B Adding Flavor To the Chern-simons Matter Theorymentioning

confidence: 99%

“…For N = 4 SCFT with 2p nodes, the D6 brane corresponding to the massless flavor wraps AdS 4 ×S 3 /Z 2p inside AdS 4 ×CP 3 /Z p without a tadpole problem [31] (see also Refs. [29,30]).…”

Section: The Gravity Dual To the N = 4 Theorymentioning

confidence: 99%

“…where (t 1 , t 2 , t 3 ) = (N F , N F , kp) are relatively prime without a divisor as seen in the above metric components [31]. Using V = U + ∆U , the metric in Eq.…”

Section: The Gravity Dual To the N = 3 Chern-simons Matter Theory mentioning

confidence: 99%

“…Note that unlike the ABJM theory, we have the fixed point at the Z k singurality [49] when k = 1 (see also the Appendix of Ref. [31]), and it leads to the light degrees of freedom on the fixed points beyond the supergravity approximation. However, we do not consider these light modes in this paper, since the large-N orbifold equivalence is applied for only the untwisted sector.…”

Section: The Gravity Dual To the N = 3 Chern-simons Matter Theory mentioning

confidence: 99%

“…The gravity dual of an N = 3 [U (N ) k × U (N ) −k ] p quiver Chern-Simons matter theory with fundamentals has been studied in Refs. [28][29][30][31] and for massive flavors in Refs. [32,33].…”

Section: Introductionmentioning

confidence: 99%

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Dualities from largeNorbifold equivalence in Chern-Simons-matter theories with flavor

Fujita

2013

Phys. Rev. D

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We study large-N orbifold equivalences involving three-dimensional N = 3 and N = 4 supersymmetric quiver Chern-Simons matter theories. The gravity dual of the N = 3 ChernSimons matter theory is described by AdS 4 × M 7 , where the tri-Sasaki manifold M 7 is known as the Eschenburg space. We find evidence that a large-N orbifold equivalence for the N = 4 case continues from the M-theory limit to the weak coupling limit. For the N = 3 case, we find consistent large-N equivalences involving a projection changing the nodes of the gauge groups, and also for a projection changing Chern-Simons levels where for the latter projection, the BPS monopole operators behave as expected in large-N equivalence. For both cases we show, using the gravity dual, that the critical temperature of the confinement/deconfinement transition does not change and the entropy behaves as expected under the orbifold equivalence. We show that large-N orbifold equivalence changing Chern-Simons levels can be explained using the planar equivalence in the mirror dual.

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Section: B Adding Flavor To the Chern-simons Matter Theorymentioning

confidence: 99%

“…For N = 4 SCFT with 2p nodes, the D6 brane corresponding to the massless flavor wraps AdS 4 ×S 3 /Z 2p inside AdS 4 ×CP 3 /Z p without a tadpole problem [31] (see also Refs. [29,30]).…”

Section: The Gravity Dual To the N = 4 Theorymentioning

confidence: 99%

“…where (t 1 , t 2 , t 3 ) = (N F , N F , kp) are relatively prime without a divisor as seen in the above metric components [31]. Using V = U + ∆U , the metric in Eq.…”

Section: The Gravity Dual To the N = 3 Chern-simons Matter Theory mentioning

confidence: 99%

Section: The Gravity Dual To the N = 3 Chern-simons Matter Theory mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dualities from largeNorbifold equivalence in Chern-Simons-matter theories with flavor

Fujita

2013

Phys. Rev. D

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Gauge/gravity duality applied to condensed matter systems

Ammon

2010

Fortschritte der Physik

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In this review we investigate phenomena of strongly‐coupled quantum critical theories, which also appear in condensed matter systems. Using the AdS/CFT correspondence, a technique motivated by string theory, the strongly‐coupled scale‐invariant theories can be related to gravity theories at weak coupling. Within this framework we study the holographic description of superconductors and the emerging fermi surface of strongly coupled fermions. We also calculate the conductivity of alternating currents and determine the direct current conductivity for (non‐) relativistic systems beyond linear response. Since the explicit string theory construction in terms of probe branes embedded in type IIB supergravity is explicitly known, we are able to identify the dual operators on the field theory side and can compare the effects at weak and strong coupling.

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D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades

Aharony

Hashimoto

Hirano³

et al. 2010

J. High Energ. Phys.

190

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We perform a systematic analysis of the D-brane charges associated with string theory realizations of d = 3 gauge theories, focusing on the examples of the N = 4 supersymmetric U (N ) × U (N + M ) Yang-Mills theory and the N = 3 supersymmetric U (N ) × U (N + M ) Yang-Mills-Chern-Simons theory. We use both the brane construction of these theories and their dual string theory backgrounds in the supergravity approximation. In the N = 4 case we generalize the previously known gravitational duals to arbitrary values of the gauge couplings, and present a precise mapping between the gravity and field theory parameters. In the N = 3 case, which (for some values of N and M ) flows to an N = 6 supersymmetric Chern-Simons-matter theory in the IR, we argue that the careful analysis of the charges leads to a shift in the value of the B 2 field in the IR solution by 1/2, in units where its periodicity is one, compared to previous claims. We also suggest that the N = 3 theories may exhibit, for some values of N and M , duality cascades similar to those of the Klebanov-Strassler theory.1 The minus sign is the result of the conventions used in this paper, summarized in appendix B.

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Eschenburg space as gravity dual of flavored 𝒩 = 4 Chern-Simons-matter theory

Cited by 23 publications

References 61 publications

Dualities from largeNorbifold equivalence in Chern-Simons-matter theories with flavor

Dualities from largeNorbifold equivalence in Chern-Simons-matter theories with flavor

Gauge/gravity duality applied to condensed matter systems

D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades

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