Betti multiplets, flows across dimensions and c-extremization

We consider 4d N=1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N=(0,2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c_{2d}, similarly to the 4d picture, where the exact R-current maximizes the central charge a_{4d}. There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N=2 truncation of T^{1,1} with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS_5 to AdS_3 vacua in the supergravity picture. We verify the existence of the flow to AdS_3 solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N=2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.Comment: 28 pages, 5 figures, typos fixed and additional explanations adde

USp(2Nc)USp(2N_c) SQCD3_3 with antisymmetric: dualities and symmetry enhancements

We study various aspects of the 4d/3d reduction of $\mathcal{N}=1$ dualities involving $USp(2N_c)$ gauge theories with $2N_f$ fundamentals and one antisymmetric. We discuss the non-trivial role played by the monopole superpotentials in the reduction and obtain new 3d dualities for models with both symplectic and unitary gauge groups. For $N_f=4$ we observe interesting webs of dualities and symmetry enhancements, recovering and extending some results already appeared in the literature.Comment: 42 pages, 3 figures, improved discussions and references adde

A journey to 3d: exact relations for adjoint SQCD from dimensional reduction

In this note we elaborate on the reduction of four dimensional Seiberg duality with adjoint matter to three dimensions. We use the exact formulation of the superconformal index and of the partition function as instruments to test this reduction. We translate the identity between indices of the dual 4d theories to 3d. This produces various new identities between partition functions of 3d dual phases.Comment: 18 pages, appendix added on the large mass scaling of the partition function, version published in JHE

Spin(7) duality for N=1 CS-matter theories

In this paper we propose a duality for non-holomorphic N=1 CS-matter theories living on M2 branes probing Spin(7) cones. We call this duality Spin(7) duality. Two theories are named Spin(7) dual if they have the same moduli space: a real Spin(7) cone with base a weak G_2 manifold, and they are hence holographic dual to the same AdS_4 x G_2 M theory solution. We provide a systematic way to generate these dualities, derived by combining toric duality for N=2 CS-matter theories and generalized non-holomorphic orientifold projections to N=1. Brane construction, AdS/CFT correspondence, and the computation of the moduli space support our proposal at the classical level and provide some arguments at the quantum strong coupling regime. The relation with Seiberg-like duality is also analyzed.Comment: 37 pages, 3 figure