AdS 3 solutions with from S 3 × S 3 fibrations

We present a new infinite family of Type IIB backgrounds with an AdS2 factor, preserving $$ \mathcal{N} $$ N = 4 SUSY. For each member of the family we propose a precise dual Super Conformal Quantum Mechanics (SCQM). We provide holographic expressions for the number of vacua (the “central charge”), Chern-Simons terms and other non-perturbative aspects of the SCQM. We relate the “central charge” of the one-dimensional system with a combination of electric and magnetic fluxes in Type IIB. The Ramond-Ramond fluxes are used to propose an extremisation principle for the central charge. Other physical and geometrical aspects of these conformal quantum mechanics are analysed.

Section: Jhep03(2021)277mentioning

confidence: 99%

New AdS2 backgrounds and $$ \mathcal{N} $$ = 4 conformal quantum mechanics

Lozano

Núñez

Ramirez

et al. 2021

“…See the papers[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] for more general AdS3 solutions with different amounts of supersymmetries.…”

mentioning

confidence: 99%

M -strings and AdS3 solutions to M-theory with small $$ \mathcal{N} $$ = (0, 4) supersymmetry

Lozano

Núñez

Ramirez

et al. 2020

We construct a general class of (small) N = (0, 4) superconformal solutions in M-theory of the form AdS 3 × S 3 /Z k × CY 2 , foliated over an interval. These solutions describe M-strings in M5-brane intersections. The M-strings support (0, 4) quiver CFTs that are in correspondence with our backgrounds. We compute the central charge and show that it scales linearly with the total number of M-strings. We introduce momentum charge, thus allowing for a description in terms of M(atrix) theory. Upon reduction to Type IIA, we find a new class of solutions with four Poincaré supercharges of the form AdS 2 × S 3 × CY 2 × I, that we extend to the massive IIA case. We generalise our constructions to provide a complete class of AdS 3 solutions to M-theory with (0,4) supersymmetry and SU(2) structure. We also construct new AdS 2 × S 3 × M 4 × I solutions to massive IIA, with M 4 a 4d Kähler manifold and four Poincaré supercharges.

“…12) where t a ∈ Lie(G), 25 and D ab (g) is the adjoint action of G: D ab (g) = −Tr(g −1 t a gt b ). 24 Notice that in this notation (K a F )L generates left translations but it is right-invariant, and vice-versa.…”

Section: C2 Fibration Of Coset Manifolds and Lie Groupsmentioning

confidence: 99%

All $$ \mathcal{N} $$ = (8, 0) AdS3 solutions in 10 and 11 dimensions

Legramandi

Monaco

Macpherson

2021

Self Cite

We classify AdS3 solutions preserving $$ \mathcal{N} $$ N = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS3×S6 solution of [1] and the embeddings of AdS3 into AdS4×S7, AdS5×S5, AdS7/ℤk×S4 and its IIA reduction within AdS7. More interestingly we find solutions preserving the superconformal algebras $$ {\mathfrak{f}}_4,\mathfrak{su}\left(1,1|4\right),\mathfrak{osp}\left({4}^{\ast }|4\right) $$ f 4 , su 1 1 4 , osp 4 ∗ 4 on certain squashings of the 7-sphere. These solutions asymptote to AdS4×S7 and are promising candidates for holographic duals to defects in Chern-Simons matter theories.