(0,4) brane box models

Abstract

Two-dimensional N = (0, 4) supersymmetric quiver gauge theories are realized as D3-brane box configurations (two dimensional intervals) which are bounded by NS5-branes and intersect with D5-branes. The periodic brane configuration is mapped to D1-D5-D5 brane system at orbifold singularity via T-duality. The matter content and interactions are encoded by the N = (0, 4) quiver diagrams which are determined by the brane configurations. The Abelian gauge anomaly cancellation indicates the presence of Fermi multiplets at the NS-NS junction. We also discuss the brane construction of N = (0, 4) supersymmetric boundary conditions in 3d N = 4 gauge theories involving two-dimensional boundary degrees of freedom that cancel gauge anomaly.

Two dimensional $$ \mathcal{N} $$ = (0, 4) quivers dual to AdS3 solutions in massive IIA

“…We computed Page charges and put them in correspondence with the putative colour and flavour branes in the Hanany-Witten set-ups associated to our SCFTs. The CFTs are defined as the IR limit of UV well-behaved long quivers with (0, 4) SUSY, that generalise 2-d (0,4) quivers previously discussed in the literature -see [40,48]. After presenting our proposed duality we discussed a number of examples of increasing complexity that together constitute a stringent test of our proposal.…”

Abelian dualities of $$ \mathcal{N} $$ = (0, 4) boundary conditions

“…We define half-indices of 3d N = 4 gauge theories and full-indices of 2d N = (0, 4) gauge theories. In section 3 we study simple examples of brane box models in [35]. We propose the minimal N = (0, 4) mirror symmetry by computing the indices.…”

“…In this section, we analyze simple examples of N = (0, 4) brane box models in [35]. In particular, we propose simple N = (0, 4) mirror symmetry that may be related to the 3d N = 4 mirror symmetry between 3d SQED 1 and free twisted hypermultiplet [62].…”

AdS3 solutions in massive IIA, defect CFTs and T-duality

“…Non-compact D4 branes provide the necessary flavour groups that render the nodes associated to the new, colour, D6 branes non-anomalous. Our quivers also generalise the (0,4) quivers constructed in [32] from D3-brane box configurations to gauge nodes with different gauge groups. 8 -BPS brane set-ups such as the one depicted in table 1 were discussed in [7] in the context of 2d defect CFTs originating from D2-D4 branes living in 6d (1,0) CFTs.…”

“…They also play a prominent role in the description of self-dual strings in 6d (1,0) CFTs realised in M-and F-theory [23][24][25][26][27][28]. Their extensions to 2d (0,4) CFTs with large superconformal algebra have also received a good deal of attention [29][30][31][32][33]. Very recently we have also shown that they can be realised in larger D2-D4-D6-NS5-D8 brane systems [34,35].…”