Seiberg duality in Chern–Simons theory

By A. Giveon, D. Kutasov. 2008

339 citations recorded by the source corpus.

Abstract We argue that N = 2 supersymmetric Chern–Simons theories exhibit a strong–weak coupling Seiberg-type duality. We also discuss supersymmetry breaking in these theories.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bca8efd905b198a1bdbdb0c5adfc78de13eab5c4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. F. Benini
2. N. Seiberg
3. Marcos Mariño
4. S. Giombi
5. I. Klebanov
6. Cyril Closset
7. Alberto Zaffaroni
8. D. Gaiotto

In Statistical and Nonlinear Physics

1. Marcos Mariño
2. F. Benini
3. N. Seiberg
4. E. Witten
5. S. Giombi
6. J. Maldacena
7. Sergei Gukov
8. Cyril Closset

Citations in the corpus

• A topologically twisted index for three-dimensional supersymmetric theories (2015, methodology): “In particular we provide further evidence for Aharony [12] and Giveon-Kutasov [13] dualities.”
• Supersymmetry on curved spaces and holography (2012, background): “In this section we show that the large N free energy preserves the rules of Seiberg duality for vector like gauge theories worked out in [155].”
• Multimatrix models and tri-Sasaki Einstein spaces (2010, methodology): “theory that are analogous to the Seiberg duality in four-dimensional gauge theory [21–23].”
• Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “Recently, a convergence of ideas from condensed matter physics [1-6], supersymmetric quantum field theory [7-19], and string theory [20-34] has led to a large set of new boson/fermion dualities [35-45] and new fermion/fermion dualities [46,38,39,47,45].”
• Fivebranes and 4-manifolds (2013, background): “or, in the supersymmetric context, Giveon-Kutasov duality [71] equally important are levelchanging defect walls in N = 2 Chern-Simons theories.”
• Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions (2012, background): “This is very similar to the supersymmetric dualities of [30].”
• Correlators of large N fermionic Chern-Simons vector models (2012, result): “We note that the form of the “bosonization” duality obtained in [4] is quite similar to GiveonKutasov duality [13] of N = 2 supersymmetric theories, or one of its “chiral” versions [14].”
• The thermal free energy in large N Chern-Simons-matter theories (2012, methodology): “As a test of the computation, we will verify the Seiberg-like duality in this theory that was found in [24] (generalizing the duality for non-chiral theories found in [23]).”
• Baryons, monopoles and dualities in Chern-Simons-matter theories (2015, background): “Let us end this section by clarifying the relation of these dualities to dualities between N = 2 supersymmetric CS-matter theories [11, 12, 13, 14].”
• Supersymmetric partition functions on Riemann surfaces (2016, result): “Since Giveon-Kutasov duality [36] can be derived from Aharony duality with an RG flow [34, 36] (and viceversa [18]), we have also implicitly verified that Giveon-Kutasov dual theories have the same higher-genus index.”
• Particle-Vortex Duality from 3D Bosonization (2016, background): “One may wonder if we can combine these to derive mirror symmetry [36] or Seiberg-like dualities [28] of supersymmetric theories.”
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, positive): “These were later extended in various directions and in particular the authors of [9-12] found such dualities, which relate different Chern-Simons matter theories.”
• Chern Simons duality with a fundamental boson and fermion (2013, background): “7) reduces to Giveon Kutasov duality [20, 21] (N → |k| −N , k → −k) when we make the choice of parameters (1.”
• ABJ triality: from higher spin fields to strings (2012, background): “Giveon-Kutasov duality [41] states that the N = 2 U(N)k Chern-Simons theory with Nf fundamental and Nf anti-fundamental chiral multiplets is equivalent to the IR fixed point of the N = 2 U(Nf + k − N)k theory with the same number of fundamental and anti-fundamental chiral multiplets, together with N”
• Comments on twisted indices in 3d supersymmetric gauge theories (2016, methodology): “3 Wilson loops in Giveon-Kutasov duality As another example, consider the case k > 0 and kc = 0, corresponding to Giveon-Kutasov duality [26].”
• Chern-Simons-matter dualities with SO and USp gauge groups (2016, background): “Another approach to finding such dualities with finite N and k is based on starting with a pair of dual N = 2 supersymmetric theories [11-23] and turning on a relevant operator that breaks supersymmetry.”