New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Abstract

It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 nearhorizon into a class of AdS 3 × S 2 geometries in 11D where the internal space is a CalabiYau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS 3 ×S 2 geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS 3 ×S 3 ×S 3 ×S 1 results in a new supersymmetric AdS 3 × S 2 geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N = 4 superconformal algebra in the infra-red.

F-theory and AdS3/CFT2

“…We presented an example of such solution in appendix F. Based on this, and other examples in the literature [98,99], we expect that this class of solutions may be quite rich. Furthermore, the classification obtained here can be applied to N = (2, 2) supersymmetry in 2d, and it will be interesting to explore this class of solutions.…”

Field theory aspects of non-Abelian T-duality and N $$ \mathcal{N} $$ =2 linear quivers

“…This would provide a holographic description of the low-energy confining (or conformal) phase that appears by deforming some of the CFTs above. The 'geometric' side of the work was done in some of the papers in [8][9][10][11][12][13][24][25][26][27][28]. The present work gives tools to complement that study with a more precise QFT description.…”

Mesons from (non) Abelian T-dual backgrounds

“…The holographic approach to the problem also allowed to resolve some questions regarding global aspects, range of coordinates, etc. Many papers have discussed applications of non-Abelian T-duality to holography [28][29][30][31][32][33]- [44][45][46][47][48][49], where both physical and geometrical aspects of the duality were analyzed.…”

“…For example, Baryon vertex, Giant Gravitons, couplings defined by probe branes, etc. In a variety of papers dealing with the interplay between non-Abelian duality and holography [23]- [44][45][46][47][48][49], it was seen that for each observable in the seed field theory, there was some probe brane in the nonAbelian T dual background that could play the role of such observable in the corresponding field theory. We suggest that aside from identifying the putative probe, its fluctuations should be studied following the formalism and ideas in this paper.…”