Asymptotic Flatness, Little String Theory, and Holography

Abstract

We argue that any non-gravitational holographic dual to asymptotically flat string theory in $d$-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a $(d-1)$-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in $(d-1)$ 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.

27 pages, 2 figures. Explicit discussion added of using the Wightman function method to calculate time-ordered boundary 2-point functions. The resulting branch cuts are linked to the bulk spectrum of states

References in corpus (3)

• Holographic representation of local bulk operators
• Covariant Counterterms and Conserved Charges in Asymptotically Flat Spacetimes
• Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence

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