22 research outputs found
A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
We consider the infrared (IR) limit of the nonlinear integral equations
(NLIEs) for the boundary supersymmetric sine-Gordon (BSSG) model, previously
obtained from the NLIEs for the inhomogeneous open spin-1 XXZ quantum spin
chain with general integrable boundary terms, for values of the boundary
parameters which satisfy a certain constraint. In particular, we compute the
boundary S matrix and determine the "lattice - IR" relation for the BSSG
parameters.Comment: 18 page
Consistent superconformal boundary states
We propose a supersymmetric generalization of Cardy's equation for consistent
N=1 superconformal boundary states. We solve this equation for the
superconformal minimal models SM(p/p+2) with p odd, and thereby provide a
classification of the possible superconformal boundary conditions. In addition
to the Neveu-Schwarz (NS) and Ramond (R) boundary states, there are NS~ states.
The NS and NS~ boundary states are related by a Z_2 "spin-reversal"
transformation. We treat the tricritical Ising model as an example, and in an
appendix we discuss the (non-superconformal) case of the Ising model.Comment: 23 pages, LaTeX; amssymb, epsf, 1 eps figure; v2: references adde
Asymptotic Bethe equations for open boundaries in planar AdS/CFT
We solve, by means of a nested coordinate Bethe ansatz, the open-boundaries
scattering theory describing the excitations of a free open string propagating
in , carrying large angular momentum , and ending on
a maximal giant graviton whose angular momentum is in the same plane. We thus
obtain the all-loop Bethe equations describing the spectrum, for finite but
large, of the energies of such strings, or equivalently, on the gauge side of
the AdS/CFT correspondence, the anomalous dimensions of certain operators built
using the epsilon tensor of SU(N). We also give the Bethe equations for strings
ending on a probe D7-brane, corresponding to meson-like operators in an
gauge theory with fundamental matter.Comment: 30 pages. v2: minor changes and discussion section added, J.Phys.A
version
TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
The ground-state energy of integrably-twisted theories is analyzed in finite
volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type
corrections for large volumes of the vacuum energy for integrable theories with
twisted boundary conditions and twisted S-matrix. We then derive the twisted
thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground
state, from which we obtain an untwisted Y-system. The two approaches are
compared by expanding the TBA equations to NLO, and exact agreement is found.
We give explicit results for the O(4) model and for the three-parameter family
of -deformed (non-supersymmetric) planar AdS/CFT model, where the
ground-state energy can be nontrivial and can acquire finite-size corrections.
The NLO corrections, which correspond to double-wrapping diagrams, are
explicitly evaluated for the latter model at six loops.Comment: 42 pages, 2 figures, v2: references added, v3: minor correction
Orbifolded Konishi from the Mirror TBA
Starting with a discussion of the general applicability of the simplified
mirror TBA equations to simple deformations of the AdS_5 x S^5 superstring, we
proceed to study a specific type of orbifold to which the undeformed simplified
TBA equations directly apply. We then use this set of equations, as well as
Luscher's approach, to determine the NLO wrapping correction to the energy of
what we call the orbifolded Konishi state, and show that they perfectly agree.
In addition we discuss wrapping corrections to the ground state energy of the
orbifolded model under consideration.Comment: 26 pages, 5 figures, v2: corrected typos, added a short discussion on
the ground state of the model; as submitted to J. Phys.
Two-loop test of the N=6 Chern-Simons theory S-matrix
Starting from the integrable two-loop spin-chain Hamiltonian describing the
anomalous dimensions of scalar operators in the planar N=6 superconformal
Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz
computation of the corresponding two-loop S-matrix. The result matches with the
weak-coupling limit of the scalar sector of the all-loop S-matrix which we have
recently proposed. In particular, we confirm that the scattering of A and B
particles is reflectionless. As a warm up, we first review the analogous
computation of the one-loop S-matrix from the one-loop dilatation operator for
the scalar sector of planar N=4 superconformal Yang-Mills theory, and compare
the result with the all-loop SU(2|2)^{2} S-matrix.Comment: 21 pages, no figure; references adde
Two-dimensional superstrings and the supersymmetric matrix model
We present evidence that the supersymmetric matrix model of Marinari and
Parisi represents the world-line theory of N unstable D-particles in type II
superstring theory in two dimensions. This identification suggests that the
matrix model gives a holographic description of superstrings in a
two-dimensional black hole geometry.Comment: 22 pages, 2 figures; v2: corrected eqn 4.6; v3: corrected appendices
and discussion of vacua, added ref