Notes on superconformal Chern-Simons-Matter theories

By D. Gaiotto, Xi Yin. 2007

378 citations recorded by the source corpus.

The three dimensional = 2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbatively. We study the theories in the large N limit, and compute the two-loop anomalous dimension of certain long operators. Our result suggests that various = 2 U(N) Chern-Simons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c35afdd21bb193b44c88111eb28f0de939390359

How researchers see this paper

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In Astronomy and Astrophysics

1. T. Takayanagi
2. F. Benini
3. J. Maldacena
4. O. Aharony
5. T. Nishioka
6. S. Raju
7. S. Giombi
8. Seok Kim

In Nuclear and High Energy Physics

1. F. Benini
2. Marcos Mariño
3. Alberto Zaffaroni
4. J. Maldacena
5. D. Gaiotto
6. S. Giombi
7. D. Martelli
8. N. Drukker

Citations in the corpus

• Tilings, Chern-Simons Theories and M2 Branes (2008, methodology): “For an analysis of N = 2 and N = 3 superconformal invariance in 2+1 dimensions we refer to [27].”
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, background): “Earlier foundational work on this topic includes [27, 3, 28].”
• The higher spin/vector model duality (2012, background): “While Chern-Simons-matter theories generally give rise to CFTs with any gauge group and any matter representation [41], Chern-Simons vector models are special in that the operator spectrum is not renormalized at infinite N and finite ’t Hooft coupling λ = N/k [11,42].”
• Integrable spin chain in superconformal Chern-Simons theory (2008, methodology): “Integrability in N ≤ 3 superconformal Chern-Simons theory was investigated by Gaiotto and Yin [22] previously.”
• Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence (2008, neutral): “Contents”
• A note on CFT correlators in three dimensions (2011, background): “In particular, there is a large family of 3d CFTs with the Lagrangian description in terms of Chern-Simons-matter (CSM) theories [2].”
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets (2008, neutral): “It is rather straightforward to have the theories with N ≤ 3, and there has been some recent work on N = 2, 3 superconformal theories [8].”
• Indices for superconformal field theories in 3, 5 and 6 dimensions (2008, methodology): “The general constructions of Gaiotto and Yin allow the possibility of nonzero superpotentials with a coupling α that flows in the infra-red to a fixed point of order 1 k where k is the level of the Chern Simons theory.”
• A Massive Study of M2-brane Proposals (2008, methodology): “C Superfield formulations of ABJM The ABJM model [15] can be conveniently described by using N = 2 superfields [22] or alternatively using N = 1 superfields [23] [24], and generalizes the superconformal ChernSimon construction of [49] (see [50] for an N = 1 superfield formulation of the BaggerLamber”
• Generalized conformal symmetry and recovery of SO(8) in multiple M2 and D2 branes (2008, background): “They generalized the superconformal Chern-Simons matter theories [17, 18] to the N = 6 superconformal U(N)×U(N) theories.”
• Seiberg duality in Chern–Simons theory (2008, background): “…and David Kutasov2 1Racah Institute of Physics, The Hebrew University Jerusalem 91904, Israel 2EFI and Department of Physics, University of Chicago 5640 S. Ellis Av., Chicago, IL 60637, USA We argue that N = 2 supersymmetric Chern-Simons theories exhibit a strong-weak coupling Seiberg-type…”
• ABJ triality: from higher spin fields to strings (2012, methodology): “4 The N = 3 theory with M hypermultiplets The N = 3 Chern-Simons vector model with M hypermultiplets can be obtained from the N = 2 theory described in the previous subsection by adding the superpotential [51, 28] W = − k 8π trφ(2) + Φ̃φΦi (D.”
• The complete superconformal index for N=6 Chern–Simons theory (2009, result): “For instance, it was explained that the index for N =2, 3 U(N)k Chern-Simons theories with Nf flavors (presented in [36]) can undergo third order phase transitions [3] in the so-called Veneziano limit, which is very similar to that in the lattice gauge theory explored by Gross, Witten and Wadia [51,”
• Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, methodology): “lay an important role when we calculate the Wilson loop expectation value in planar perturbation theory in the next section. Actually, this BPS Wilson loop operator is the same as the one proposed in [25] in N = 2 superconformal Chern-Simons theory. Actually 1/6-BPS configuration of N =6 supersymmetr”