PP-wave holography for Dp-brane backgrounds

Abstract

As an extension of the so-called BMN conjecture, we investigate the plane-wave limit for possible holographic connection between bulk string theories in non-conformal backgrounds of Dp-branes and the corresponding supersymmetric gauge theories for p < 5.Our work is based on the tunneling picture for dominant null trajectories of strings in the limit of large angular momentum. The tunneling null trajectories start from the near-horizon boundary and return to the boundary, and the resulting backgrounds are time-dependent for general Dp-branes except for p = 3. We develop a general method for extracting diagonalized two-point functions for boundary theories as Euclidean (bulk) S-matrix in the time-dependent backgrounds. For the case of D0-brane, two-point functions of supergravity modes are shown to agree with the results derived previously by the perturbative analysis of supergravity. We then discuss the implications of the holography for general cases of Dp-branes including the stringy excitations. All the cases (p = 3, p < 5) exhibit interesting infra-red behaviors, which are different from free-field theories, suggesting the existence of quite nontrivial fixed-points in dual gauge theories.

Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

“…For unprotected operators, on the other hand, it is natural to expect that two-point correlation functions are coupled with the Yang-Mills dynamics of mass generation and are given in the form of exponential functions of some dimensionless combination of the coupling constant and the coordinate distances. Indeed, such a behavior [16] has been predicted for operators corresponding to stringy excited states with large angular momentum in the plane-wave limit of the background geometry.…”

D-branes and BCFT in Hpp-wave backgrounds

“…and define the Penrose limit introducing 22) and then sending k to infinity. The conjugacy classes are characterized by a constant value of cosh ρ cos τ .…”

“…A lot of progress has been made since, and this is reviewed in [14]- [17]. It should be noted however that at the moment there is no generally accepted theory of the full holographic correspondence, although several proposals have been put forward [18]- [22].…”

Holography of Two-Point Functions in the Spinning String/Spin Chain Correspondence

“…We may also study the holographic two-point function in cases other than AdS space by considering an arbitrary Dp-brane background, as done in Ref. 32) in the pp-wave limit.…”