Comments on 3d Seiberg-like dualities

By F. Benini, Cyril Closset, Stefano Cremonesi. 2011

275 citations recorded by the source corpus.

We study Seiberg-like dualities in three dimensional $ \mathcal{N} = 2 $ supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S3 match between dual descriptions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ca60a82738b43fb0e6ce8c67e3a50d98823b4cbe

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Citations in the corpus

Supersymmetric partition functions on Riemann surfaces (2016, background): “2 U(1)1/2 with one chiral multiplet We consider the following duality [33, 34].”
Particle-Vortex Duality from 3D Bosonization (2016, background): “Combining studies of supersymmetric theories [28, 29, 30, 31], RG flows [32, 33], operator maps [34] and level-rank dualities [35] results in a consistent picture.”
The thermal free energy in large N Chern-Simons-matter theories (2012, methodology): “The theory with N = 2 supersymmetry is conjectured to be self-dual [24], with the transformation at large N given by N → |k| −N and k → −k.”
A topologically twisted index for three-dimensional supersymmetric theories (2015, background): “It is well known that the theory above is dual to the theory of a free chiral multiplet, which can be identified with the monopole T [37, 38].”
Supersymmetry on curved spaces and holography (2012, methodology): “The partition function has already been used to check this extension of CS N = 2 Seiberg duality in three dimensions in [29, 141, 144, 173–176].”
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].”
A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “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-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.”
N=2 supersymmetric theories on squashed three-sphere (2011, methodology): “It is used to check dualities among 3d field theories[7, 8, 9, 10, 11, 12, 13] and gauge/gravity”
Supersymmetric field theories on three-manifolds (2012, methodology): “A useful representation of FΦ(b) is given by (see for instance [50,51])”
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.”
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].”
Partition Functions of $${\mathcal{N}=(2,2)}$$N=(2,2) Gauge Theories on S2 and Vortices (2012, methodology): “If we assume for definiteness that N f ≥ Na , the duality suggested by the brane creation effect [46] is between a U (N ) gauge theory with (N f , Na) flavors and a U (N f − N ) theory with (Na, N f ) flavors, similarly to the maximally chiral duality of 3d theories studied in [45].”
Comments on twisted indices in 3d supersymmetric gauge theories (2016, background): “This is a special case of a more general Seiberg duality [28], that we shall discuss in more details in section 5.”
3d dualities from 4d dualities (2013, methodology): “ under the U(N) duality discussed in section 4, the two partition functions (5.30) and (5.32) will map into each other, correctly reproducing the behavior of this duality under real mass deformations [62,36,27]. 5.4. U(N) duality Let us consider the duality of U(N) theories obtained in section 4 by ”
The gravity dual of supersymmetric gauge theories on a squashed three-sphere (2011, background): “The matching of partition functions also allows one to perform non-trivial tests of conjectured dualities between pairs of three-dimensional field theories [18, 19, 20, 21, 22, 23, 24, 25, 26].”
Localization techniques in quantum field theories (2016, background): “There are other multiplets that represent the N=(2, 2) supersymmetry algebra, such as semichiral multiplets, semichiral vector multiplets and large vector multiplets [47,48].”