Implications of N = 4 $$ \mathcal{N}=4 $$ superconformal symmetry in three spacetime dimensions

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For general N = 5 and N = 6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, N = 5 and N = 6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal Ward identities, to the parameter in the two-point function of the supercurrent. The structure of the correlation functions obtained is consistent with the property that every N = 5 superconformal field theory, considered as a special N = 4 theory, is invariant under the mirror map.Dedicated to the memory of Professor Nikolay G. Pletnev

Section: Introductionsupporting

confidence: 54%

Implications of N $$ \mathcal{N} $$ = 5, 6 superconformal symmetry in three spacetime dimensions

Kuzenko

Samsonov

2016

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“…Similar calculations of three point functions of conserved currents in supersymmetric Chern-Simons theories with matter has been done in[30][31][32]. Such theories do not have the parity violating contribution.…”

mentioning

confidence: 57%

Constraints on parity violating conformal field theories in d = 3

Chowdhury

David

Prakash

2017

We derive constraints on three-point functions involving the stress tensor, T , and a conserved U(1) current, j, in 2+1 dimensional conformal field theories that violate parity, using conformal collider bounds introduced by Hofman and Maldacena. Conformal invariance allows parity-odd tensor-structures for the T T T and jjT correlation functions which are unique to three space-time dimensions. Let the parameters which determine the T T T correlation function be t 4 and α T , where α T is the parity-violating contribution. Similarly let the parameters which determine jjT correlation function be a 2 , and α J , where α J is the parity-violating contribution. We show that the parameters (t 4 , α T ) and (a 2 , α J ) are bounded to lie inside a disc at the origin of the t 4 -α T plane and the a 2 -α J plane respectively. We then show that large N Chern-Simons theories coupled to a fundamental fermion/boson lie on the circle which bounds these discs. The 't Hooft coupling determines the location of these theories on the boundary circles.

“…2 Here we will argue that the constraint has a universal nature. 3 The simplest anomalous N = (1, 0) supersymmetric theory is a hypermultiplet coupled to a U(1) vector multiplet. The hypermultiplet contains a single chiral fermion interacting with the gauge field.…”

Section: Jhep02(2016)132mentioning

confidence: 99%

“…Conserved current multiplets in N = 3 and N = 4 supersymmetric field theories in three dimensions have similar structure [2,3]. It is well known that the four-dimensional N = 2 supersymmetric Yang-Mills theories are non-chiral.…”

Section: Introductionmentioning

confidence: 99%

The anomalous current multiplet in 6D minimal supersymmetry

Kuzenko

Novak

Samsonov

2016

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For supersymmetric gauge theories with eight supercharges in four, five and six dimensions, a conserved current belongs to the linear multiplet. In the case of sixdimensional N = (1, 0) Poincaré supersymmetry, we present a consistent deformation of the linear multiplet which describes chiral anomalies. This is achieved by developing a superform formulation for the deformed linear multiplet. In the abelian case, we compute a nonlocal effective action generating the gauge anomaly.