Mass deformations of the ABJM theory: the holographic free energy

Bobev, Nikolay; Min, Vincent S.; Pilch, Krzysztof; Rosso, Felipe

doi:10.1007/jhep03(2019)130

Cited by 32 publications

(60 citation statements)

References 75 publications

(261 reference statements)

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“…We choose this flow solution as a zeroth order solution for our perturbative approach. We verify the central claim of [1] on the relationship between UV parameters when we impose IR regularity, up to third order in our perturbative method. In particular, this amounts to showing that (1) indeed holds, also in holography.…”

Section: Introductionsupporting

confidence: 61%

“…It is clear that regular solutions are parametrized by three constants:c i satisfying (23), and x 0 . In the holographic computation [1], it is crucial to identify the UV parameters a i ,ã i as functions of IR parameters,c i , x 0 . Based on numerically constructed regular solutions, the authors of [1] conjectured that…”

Section: Study Of Bps Solutions Through Uv and Ir Expansionsmentioning

confidence: 99%

“…Sec.2 provides a short review of mABJM theory and its gravity dual. In Sec.3 we review the BPS equations and the holographic computation done in [1]. Sec.3 is the main part where we construct perturbatively the solutions of the BPS equations.…”

Section: Introductionmentioning

confidence: 99%

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A perturbative study of holographic mABJM theory

Kim

2019

Physics Letters B

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Recently the calculation of holographic free energy for mass-deformed ABJM model (mABJM) with N = 2 supersymmetry and SU (3) × U (1) global symmetry was tackled by Bobev et al. [1]. We solve the associated BPS equations, requiring IR regularity, using a perturbative method proposed by one of us in [2]. In particular, we provide an analytic proof of a crucial conjecture made in [1] based on numerical solutions: that the R-charge values of three chiral multiplets in mABJM should be independent of the IR values of a hypermultiplet scalar, which is holographically dual to the superpotential mass term.

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Section: Introductionsupporting

confidence: 61%

Section: Study Of Bps Solutions Through Uv and Ir Expansionsmentioning

confidence: 99%

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A perturbative study of holographic mABJM theory

Kim

2019

Physics Letters B

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“…In this case, a reassignment of the dimensions of Φ a is needed, as in e.g. [31,32,33]. Both terms in the superpotential (3.13) must now be separately requested to be marginal.…”

Section: Field Theorymentioning

confidence: 99%

Flowing to $$ \mathcal{N} $$ = 3 Chern-Simons-matter theory

Guarino

Tarrío

Varela

2020

J. High Energ. Phys.

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New renormalisation group flows of three-dimensional Chern-Simons theories with a single gauge group SU(N ) and adjoint matter are found holographically. These RG flows have an infrared fixed point given by a CFT with N = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either N = 2 and SU(3) symmetry or N = 1 and G 2 symmetry. The gauge/gravity duals of these RG flows are constructed as domain-wall solutions of a gauged supergravity model in four dimensions that enjoys an embedding into massive IIA supergravity. A concrete RG flow that brings a mass deformation of the N = 2 CFT into the N = 3 CFT at low energies is described in detail. arXiv:1910.06866v2 [hep-th] 30 Oct 2019 N = 1 and SU(3) flavour symmetry. The N = 2 and N = 3 gauge/gravity duals have concrete proposals [4] in terms of the field theories of [1, 2] with appropriate superpotentials.A network of BPS domain-wall configurations connecting two supersymmetric AdS 4 solutions with at least SU(3) gauge symmetry was uncovered in [14]. These domain-walls are displayed with black solid lines in Figure 1. The holographic duals of such domain-walls are renormalisation group (RG) flows between two different CFTs with at least SU(3) flavour symmetry. In addition, there are RG flows connecting a non-conformal theory in the ultraviolet (UV) to a CFT in the infrared (IR). The non-conformal theory is identified with the maximally supersymmetric Yang-Mills theory (SYM) in three dimensions deformed with a CS term, and describes the worldvolume of a stack of D2-branes in massive IIA. The domainwalls reaching the D2-branes in the UV are also represented in Figure 1 with black dashed lines. Flows involving the N = 3 CFT with SU(2) ≡ SO(3) R flavour symmetry as a fixed point were excluded from the analysis of [14]. The purpose of this paper is to fill this gap. We will show that this N = 3 CFT can serve as an IR fixed point by constructing new domain-wall solutions that end at this critical point. A natural, simplifying assumption is to request that the flows preserve the SO(3) R flavour of the IR phase. The SO(3) R -invariant sector of N = 8 ISO(7) supergravity that we recently constructed in [15] is thus the natural arena to construct these solutions.

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“…Holographic duals have been established for some of these vacua as distinct superconformal phases [5,6] of the M2-brane field theory. Other interesting solutions of, for example, domain wall [7,8], black hole [9] or Euclidean [10] type have been constructed in this sector that enjoy precise holographic interpretations [6,8,11].…”

Section: Introductionmentioning

confidence: 99%

Embedding the SU(3) sector of SO(8) supergravity in D=11

2019

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The SU(3)-invariant sector of maximal supergravity in four dimensions with an SO(8) gauging is uplifted to D = 11 supergravity. In order to do this, the SU(3)-neutral sector of the tensor and duality hierarchies of the D = 4 N = 8 supergravity is first worked out. The consistent D = 11 embedding of the full, dynamical SU(3) sector is then expressed at the level of the D = 11 metric and three-form gauge field in terms of these D = 4 tensors. The redundancies introduced by this approach are eliminated at the level of the D = 11 four-form field strength by making use of the D = 4 duality hierarchy. Our results encompass previously known truncations of D = 11 supergravity down to sectors of SO(8) supergravity with symmetry larger than SU(3), and include new ones. In particular, we obtain a new consistent truncation of D = 11 supergravity to minimal D = 4 N = 2 gauged supergravity. The SU(3)-invariant sector of SO(8) supergravityLet us start by reviewing some aspects of the SU(3) sector of SO(8)-gauged supergravity. We choose a triangular, or Iwasawa, parametrisation for the (SU(3)-invariant truncation of the) E 7(7) /SU(8) coset representative. Since previous literature often chooses the unitary gauge for the coset, we believe that our presentation has some intrinsic value even if the material that is covered (the Lagrangian in section 2.1, the further subsectors in 2.3, and the vacuum structure in 2.4) is mostly review. The SU(3)-invariant, restricted tensor and duality hierarchies worked out in section 2.2 are new.

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Mass deformations of the ABJM theory: the holographic free energy

Cited by 32 publications

References 75 publications

A perturbative study of holographic mABJM theory

A perturbative study of holographic mABJM theory

Flowing to $$ \mathcal{N} $$ = 3 Chern-Simons-matter theory

Embedding the SU(3) sector of SO(8) supergravity in D=11

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