Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics

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.

22 pages

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Cited by in corpus (19)

• Strings on Semisymmetric Superspaces
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• Long strings in two dimensional string theory and non-singlets in the matrix model
• Schwinger pair production in AdS2
• Self-Duality of Green-Schwarz Sigma-Models
• Superstrings in AdS
• Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid
• Strings in a 2-d Extremal Black Hole
• Three Dimensional Origin of AdS_2 Quantum Gravity
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Non-Critical Covariant Superstrings
• On Type II Strings in Two Dimensions
• Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory
• Superconformal Quantum Mechanics from M2-branes
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• Sutherland Models for Complex Reflection Groups
• Supersymmetric Dissipative Quantum Mechanics from Superstrings
• Noncritical M-theory: Three Dimensions
• A study of integrable form factors in massless relativistic $Ad{S}_2$