14,094 research outputs found
Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
The Nambu-Goldstone (NG) bosons of the SYK model are described by a coset
space Diff/, where Diff, or Virasoro group, is the
group of diffeomorphisms of the time coordinate valued on the real line or a
circle. It is known that the coadjoint orbit action of Diff naturally turns out
to be the two-dimensional quantum gravity action of Polyakov without
cosmological constant, in a certain gauge, in an asymptotically flat spacetime.
Motivated by this observation, we explore Polyakov action with cosmological
constant and boundary terms, and study the possibility of such a
two-dimensional quantum gravity model being the AdS dual to the low energy (NG)
sector of the SYK model. We find strong evidences for this duality: (a) the
bulk action admits an exact family of asymptotically AdS spacetimes,
parameterized by Diff/, in addition to a fixed
conformal factor of a simple functional form; (b) the bulk path integral
reduces to a path integral over Diff/ with a
Schwarzian action; (c) the low temperature free energy qualitatively agrees
with that of the SYK model. We show, up to quadratic order, how to couple an
infinite series of bulk scalars to the Polyakov model and show that it
reproduces the coupling of the higher modes of the SYK model with the NG
bosons.Comment: 2+33 pages (including Appendices), 3 figures; v2 has revised
discussion of orbits in Section 2, typos corrected; v3 has a new appendix
analysing the off-shell equations of motion; v4 is published version with
some more typos corrected; v5 corrects some typesetting error
A Time-Dependent Classical Solution of C=1 String Field Theory and Non-Perturbative Effects
We describe a real-time classical solution of string field theory
written in terms of the phase space density, , of the equivalent
fermion theory. The solution corresponds to tunnelling of a single fermion
above the filled fermi sea and leads to amplitudes that go as \exp(- C/
\gst). We discuss how one can use this technique to describe non-perturbative
effects in the Marinari-Parisi model. We also discuss implications of this type
of solution for the two-dimensional black hole.Comment: 23
Probing Type I' String Theory Using D0 and D4-Branes
We analyse the velocity-dependent potentials seen by D0 and D4-brane probes
moving in Type I' background for head-on scattering off the fixed planes. We
find that at short distances (compared to string length) the D0-brane probe has
a nontrivial moduli space metric, in agreement with the prediction of Type I'
matrix model; however, at large distances it is modified by massive open
strings to a flat metric, which is consistent with the spacetime equations of
motion of Type I' theory. We discuss the implication of this result for the
matrix model proposal for M-theory. We also find that the nontrivial metric at
short distances in the moduli space action of the D0-brane probe is reflected
in the coefficient of the higher dimensional v^4 term in the D4-brane probe
action.Comment: 12 pages, latex. References added and some typos correcte
Wave Propagation in Stringy Black Hole
We further study the nonperturbative formulation of two-dimensional black
holes. We find a nonlinear differential equation satisfied by the tachyon in
the black hole background. We show that singularities in the tachyon field
configurations are always associated with divergent semiclassical expansions
and are absent in the exact theory. We also discuss how the Euclidian black
hole emerges from an analytically continued fermion theory that corresponds to
the right side up harmonic oscillator potential.Comment: 23p, TIFR-TH-93/05; (v3) tex error correcte
- …