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

Abstract

In this paper we discuss an infinite family of new solutions in massive Type IIA supergravity with AdS 3 ×S 2 factors, preserving N = (0, 4) SUSY. After studying geometrical aspects of the backgrounds we propose a duality with a precise family of quivers that flow to (0,4) fixed points at low energies. These quivers consist on two families of (4,4) linear quivers coupled by matter fields. We present various tests of our proposal.Dedicated to the memory of Steven S. Gubser. 1 ylozano@uniovi.es 2

Holographic description of M-branes via AdS2

“…This strongly suggests that a similar description should be at play for the AdS 2 solution. As in similar examples in which non-Abelian T-duality has been applied to holography [83][84][85][86][87][88][89], the solution constructed through non-Abelian T-duality would not be describing the same physics as the type IIA seed solution, which would be consistent with the fact that non-Abelian T-duality has not been proved to be a string theory symmetry [90,91].…”

Spin 2 fluctuations in 1/4 BPS AdS3/CFT2

“…Following [27], we will be interested in the case of a finite interval I ρ where bothĥ 4 and h 8 vanish at both ends of the interval. So, to start fixing conventions, let us set I ρ = [0, ρ * ] and h 4 (ρ) = h 8 (ρ) = 0, whenρ is equal to 0 and ρ * .…”

“…So, to start fixing conventions, let us set I ρ = [0, ρ * ] and h 4 (ρ) = h 8 (ρ) = 0, whenρ is equal to 0 and ρ * . It is convenient [27] to set ρ * = 2π(P + 1), with P a large integer. On the other hand, u vanishes only at ρ = 0.…”

“…Secondly, they find many applications in string and quantum field theory, e.g. two-dimensional Section 6, we will see how to compute the central charge for the N = (0, 4) long quiver of [27] from the action of the spin 2 fluctuations. We give our conclusions in Section 7.…”

AdS3 solutions with from S3 × S3 fibrations

“…Exceptions to this trend include a classification of purely NS  = (2, 2) solutions in [25], large  = (4, 0) in Mtheory [26] and massive IIA, [36] and small  = (4, 0) in massive IIA. [27][28][29][30] These examples, while certainly of great merit, still only cover a small subset of possible superconfromal algebras -see [31] for a complete list that may be embedded into ten-and eleven-dimensional supergravity 1 . Rather less "vanilla" options, were presented in [33] where solutions with F(4) and G(3) supergroups were constructed.…”