English

Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics

High Energy Physics - Theory 2007-05-23 v2

Abstract

We construct a kappa-symmetric Green-Schwarz action for type IIA string theory on AdS_2. As a candidate holographic dual, we consider superconformal matrix quantum mechanics, given by the Marinari-Parisi model with vanishing or logarithmic superpotential. We derive that the super-eigenvalues form a consistent subsector, and that their dynamics reduces to that of the supersymmetric Calogero-Moser model. The classical string action and the matrix model both have an infinite set of conserved charges, that include an N=2 target space super-Virasoro symmetry. As a microscopic test of the duality, we reproduce the exact form of the Calogero interaction via a string worldsheet calculation.

Keywords

Cite

@article{arxiv.hep-th/0403024,
  title  = {Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics},
  author = {Herman Verlinde},
  journal= {arXiv preprint arXiv:hep-th/0403024},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-07-22T15:22:12.170Z