Infinitely many 4d N=1 SCFTs with a=c

Abstract

We study a rich set of four-dimensional N = 1 superconformal field theories (SCFTs) with both central charges identical: a = c. We construct them via the diagonal N = 1 gauging of the flavor symmetry G of a collection of N = 2 Argyres-Douglas theories of type D p (G), with or without additional adjoint chiral multiplets. In this way, we construct infinitely-many theories that flow to interacting SCFTs with a = c in the infrared. Finally, we briefly highlight the features of the SCFTs without a = c that arise from generalizing this construction.

5d Conformal matter

“…Of course, from the above discussion we expect to find also further 5d trinion theories, generalizing the 5d T N theories to ones arising from collisions of 3 lines of singularities (possibly folded and 5 For all these AD-like theories the question whether these are to be thought as atoms themselves or as derivatives is debatable: AD models (almost by definition) arise as special fixed points of RG flows from more conventional molecules, however some AD theories can definitely be thought as building blocks for more general models. As an example, consider the D b p (G) theories [98][99][100][101], which, despite being Argyres-Douglas points, indeed end up playing the role of generalized fundamentals in many contexts [15,102,103]. or decorated by additional T-brane like data).…”

Comments on Non-invertible Symmetries in Argyres-Douglas Theories

“…If so, it would be nice to examine the common properties of such theories and the dynamical consequences of the non-invertible symmetries. Secondly, since there are several known 4d N = 1 SCFTs with central charges a = c that arise from diagonally gauging the G symmetry of some D p i (G) theories [134,135], it is interesting to study the presence of the duality and triality defects in such theories. Moreover, recently, it was discovered that some of such N = 1 theories flow to a fixed point on the N = 1 preserving conformal manifold of N = 4 SYM [135].…”