English

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

High Energy Physics - Theory 2021-02-25 v3

Abstract

We present a new infinite family of Type IIB backgrounds with an AdS2_2 factor, preserving N=4{\cal 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.

Keywords

Cite

@article{arxiv.2011.00005,
  title  = {New AdS$_2$ backgrounds and ${\cal N}=4$ Conformal Quantum Mechanics},
  author = {Yolanda Lozano and Carlos Nunez and Anayeli Ramirez and Stefano Speziali},
  journal= {arXiv preprint arXiv:2011.00005},
  year   = {2021}
}

Comments

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