Abstract
Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories. In this paper we compute the contact terms for various N=2 dual pairs in flat space. We show that the results of this computation agree with the ones obtained from localization. We study dual pairs of gauge theories with (anti-)fundamental matter fields, and some special examples of dual pairs with adjoint and antisymmetric matter fields. We also propose a duality between unitary and symplectic gauge theories.
Highlights
A first possibility was discussed by Aharony in [2]
Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories
It was observed that they are related to contact terms in the two point functions of global symmetry currents
Summary
We first discuss the contact terms that appear in two point functions of global symmetry currents and their usefulness for checking dualities. Integrating out matter generates the CS terms for the global symmetries and determines the phase Matching this result with the mathematical identities is an additional check. By adding the 1-loop CS couplings, which are generated along the flow, as counterterms to the UV duality one reconstructs the contact terms of the topological theory. At this point of the discussion we can summarize our strategy. For a given dual pair we integrate out the matter fields, generating global CS terms via (2.2) In this way we flow to a duality between two topological theories. We check that these match with the complex phase that appears in the partition function on the three sphere
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
