Infinite Lorentz boost along theM-theory circle and nonasymptotically flat solutions in supergravities

Abstract

Certain non-asymptotically flat but supersymmetric classical solution of the type IIA supergravity can be interpreted as the infinitely-boosted version of the D-particle solution along the M-theory circle. By a chain of T -dual transformations, this analysis also applies to yield non-asymptotically flat solutions from the asymptotically flat and (non)-extremal solutions with intersecting D-strings and D five-branes of the type IIB supergravity compactified on a five-torus. Under S-duality, the non-asymptotically flat solutions in this context can in particular be used to describe the (1+1)-dimensional CGHS type black holes via spontaneous compactifications.

Supersymmetric completion of supersymmetric quantum mechanics

“…Here θ is the sixteen component SO(9) Majorana spinor and gamma matrices γ i are the What we are interested in in this paper is to determine the order of four terms, Γ (4) , in the effective action when the spinor θ and the velocity v i are constant 1 . In this case, we can preclude the possible acceleration and high order fermion derivative terms, which are, in general, present in the effective action.…”

“…For the finite N case, the eleven-dimensional supergravity formulated in terms of the discrete light-cone quantization (DLCQ) scheme of Susskind [2,3,4] is argued to be described by the supersymmetric quantum mechanics. The agreement of the effective action between the matrix theory and the DLCQ supergravity for particle (or other extended objects in M theory that we do not consider in this paper) scatterings is by now well-reported in the literature [5]- [10].…”

“…Perturbative calculations of the bosonic effective action within the matrix theory framework [6] show that k 1 = 0, while the supersymmetry allows it to be an arbitrary constant. To recover k 1 = 0 from the supergravity necessitates the use of the DLCQ framework where the asymptotic time direction of the background geometry is light-like [4,6,10]. The resulting background geometry is the non-asymptotically flat near-horizon D-particle geometry in ten dimensions [19], or equivalently, the asymptotically flat Aichelberg-Sexl geometry in eleven dimensions [4].…”

Statistical entropy of charged two-dimensional black holes

“…Hyun [16,22] has also pointed out that a similar U-duality exists between twodimensional charged black holes and the four-and five-dimensional ones. The twodimensional black holes in question were derived by McGuigan, Nappi and Yost [23], and in a different form by Gibbons and Perry [24], from the heterotic string target-space action (with α ′ = 1):…”

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states

“…Further, since g s → 0, we expect closed string emission to be negligible. This scaling should be compared to scalings studied in Matrix Theory in [21,27,33,34,35,36,37]. In the region R ≪ L, we will consider the relation to the Matrix Theory limit below.…”