Supersymmetric mixed boundary conditions in AdS2 and DCFT1 marginal deformations

Correa, Diego H.; Giraldo-Rivera, Victor I.; Silva, Guillermo

doi:10.1007/jhep03(2020)010

Cited by 35 publications

(32 citation statements)

References 68 publications

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“…Very little has been done in this direction since the original proposal for the holographic dual in [22][23][24]. Proposals for the holographic duals of 1/2 BPS loops in some N = 4 theories were put forward in [3] and a first examination of a possible moduli space of 1/6 BPS loops in ABJ(M) theory was done in [44].…”

Section: Discussionmentioning

confidence: 99%

Notes on hyperloops in $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories

Drukker

Tenser

Trancanelli

2021

J. High Energ. Phys.

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We present new circular Wilson loops in three-dimensional $$ \mathcal{N} $$ N = 4 quiver Chern-Simons-matter theory on S3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.

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Section: Discussionmentioning

confidence: 99%

Notes on hyperloops in $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories

Drukker

Tenser

Trancanelli

2021

J. High Energ. Phys.

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“…The structure of Wilson loops in ABJM theory is richer than in N = 4 SYM [21], admitting different realizations through the fundamental lagrangian fields [22][23][24], sometimes leading to the same quantum expectations values through a cohomological equivalence [24]. The relevant defect field theories should be able to fully distinguish them, possibly describing different Wilson lines in terms of marginal deformations [25]. Further motivations are the potential existence of topological sectors, that could be associated to new supersymmetric localization procedures, and the relations with integrability, that might lead to an alternative derivation of the elusive h(λ) function of ABJM [26] (see also [27]).…”

Section: Introduction and Discussionmentioning

confidence: 99%

Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1

Bianchi

Bliard

Форини

et al. 2020

J. High Energ. Phys.

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We study local operator insertions on 1/2-BPS line defects in ABJM theory. Specifically, we consider a class of four-point correlators in the CFT 1 with SU(1, 1|3) superconformal symmetry defined on the 1/2-BPS Wilson line. The relevant insertions belong to the short supermultiplet containing the displacement operator and correspond to fluctuations of the dual fundamental string in AdS 4 × CP 3 ending on the line at the boundary. We use superspace techniques to represent the displacement supermultiplet and we show that superconformal symmetry determines the four-point correlators of its components in terms of a single function of the one-dimensional cross-ratio. Such function is highly constrained by crossing and internal consistency, allowing us to use an analytical bootstrap approach to find the first subleading correction at strong coupling. Finally, we use AdS/CFT to compute the same four-point functions through tree-level AdS 2 Witten diagrams, producing a result that is perfectly consistent with the bootstrap solution.

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“…In fact, for the fermionic operator the Matrix Model result expanded at strong coupling matches the holographic calculation. For the bosonic latitude no precise dual string configuration has been determined yet, though much progress has been recently done in [80], and therefore our findings constitute a brand new prediction, begging for a string theory confirmation.…”

Section: Discussionmentioning

confidence: 77%

Exact results in AdS$_4$/CFT$_3$

Penati¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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I review recent results concerning the construction of generalized "latitude" Wilson loops in ABJM theory. In particular, the parametric Matrix Model determining these operators exactly is presented, as well as the exact prescription for computing different types of Bremsstrahlung functions from circular Wilson loops. In this context the physical meaning of framing in nontopological three-dimensional theories is clarified.

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Supersymmetric mixed boundary conditions in AdS2 and DCFT1 marginal deformations

Cited by 35 publications

References 68 publications

Notes on hyperloops in $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories

Notes on hyperloops in $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories

Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1

Exact results in AdS$_4$/CFT$_3$

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