Asymptotic Flatness, Little String Theory, and Holography

preprint2007arXivOpen access

Abstract

We argue that any non-gravitational holographic dual to asymptotically flat string theory in dd-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a (d−1)(d-1)-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in (d−1)(d-1) dimensions), the dual theory is defined on a Lorentz signature spacetime. Conceptual issues regarding such a duality are clarified by comparison with linear dilaton boundary conditions, such as those dual to little string theory. We compute both time-ordered and Wightman boundary 2-point functions of operators dual to massive scalar fields in the asymptotically flat bulk.

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