New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics

Abstract

We present a new infinite family of Type IIB backgrounds with an AdS${}_2$ factor, preserving $\mathcal{N}=4$ 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.

arXiv comment23 pages, various detailed appendices, many figures. References added. Version to appear in JHEP

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