Isometry of AdS2 And The c=1 Matrix Model

Abstract

Implications of the SL(2,R) symmetry of the c = 1 matrix models are explored. Based on the work of de Alfaro, Fubini and Furlan, we note that when the Fermi sea is drained, the matrix model for 2 dimensional string theory in the linear dilaton background is equivalent to the matrix model of AdS_2 recently proposed by Strominger, for which SL(2,R) is an isometry. Utilizing its Lie algebra, we find that a topological property of AdS_2 is responsible for quantizing D0-brane charges in type 0A theory. We also show that the matrix model faithfully reflects the relation between the Poincare patch and global coordinates of AdS_2.

17 pages, 6 figures

References in corpus (5)

• Strings from Tachyons
• A Matrix Model Dual of Type 0B String Theory in Two Dimensions
• Matrix Cosmology
• Flux Backgrounds in 2D String Theory
• A Matrix Model for AdS2

Cited by in corpus (8)

• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Conformal quantum mechanics of causal diamonds
• Proposal for the Open String Tachyon Effective Action in the Linear Dilaton Background
• Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory
• Matrix models for D-particle dynamics and the string/black hole transition
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• Conformal quantum mechanics and holographic quench
• A Note on Tachyon Moduli and Closed Strings