2,773 research outputs found
Boundary finite size corrections for multiparticle states and planar AdS/CFT
We propose formulas for the L\"uscher type finite size energy correction of
multiparticle states on the interval and evaluate them for the simplest case in
the AdS/CFT setting. By this we determine the leading wrapping correction to
the anomalous dimension of the simplest determinant type operator, which
corresponds to a one particle state on the Y=0 brane.Comment: 21 pages, 22 eps figures, v2: references added, v3: typos, fermionic
signs are corrected in section 4, explicit results simplified, conclusion is
unchange
Defect scaling Lee-Yang model from the perturbed DCFT point of view
We analyze the defect scaling Lee-Yang model from the perturbed defect
conformal field theory (DCFT) point of view. First the defect Lee-Yang model is
solved by calculating its structure constants from the sewing relations.
Integrable defect perturbations are identified in conformal defect perturbation
theory. Then pure defect flows connecting integrable conformal defects are
described. We develop a defect truncated conformal space approach (DTCSA) to
analyze the one parameter family of integrable massive perturbations in finite
volume numerically. Fusing the integrable defect to an integrable boundary the
relation between the IR and UV parameters can be derived from the boundary
relations. We checked these results by comparing the spectrum for large volumes
to the scattering theory.Comment: LaTeX, 33 pages, 9 figures, figures adde
Spectral curve for open strings attached to the Y=0 brane
The concept of spectral curve is generalized to open strings in AdS/CFT with
integrability preserving boundary conditions. Our definition is based on the
logarithms of the eigenvalues of the open monodromy matrix and makes possible
to determine all the analytic, symmetry and asymptotic properties of the
quasimomenta. We work out the details of the whole construction for the Y = 0
brane boundary condition. The quasimomenta of open circular strings are
explicitly calculated. We use the asymptotic solutions of the Y -system and the
boundary Bethe Ansatz equations to recover the spectral curve in the strong
coupling scaling limit. Using the curve the quasiclassical fluctuations of some
open string solutions are also studied.Comment: 34 pages, 2 figures; v3: typos corrected, sect.2.2 improve
On integrable boundaries in the 2 dimensional -models
We make an attempt to map the integrable boundary conditions for 2
dimensional non-linear O(N) -models. We do it at various levels:
classically, by demanding the existence of infinitely many conserved local
charges and also by constructing the double row transfer matrix from the Lax
connection, which leads to the spectral curve formulation of the problem; at
the quantum level, we describe the solutions of the boundary Yang-Baxter
equation and derive the Bethe-Yang equations. We then show how to connect the
thermodynamic limit of the boundary Bethe-Yang equations to the spectral curve.Comment: Dedicated to the memory of Petr Kulish, 31 pages, 1 figure, v2:
conformality and integrability of the boundary conditions are distinguishe
NLIE for hole excited states in the sine-Gordon model with two boundaries
We derive a nonlinear integral equation (NLIE) for some bulk excited states
of the sine-Gordon model on a finite interval with general integrable boundary
interactions, including boundary terms proportional to the first time
derivative of the field. We use this NLIE to compute numerically the dimensions
of these states as a function of scale, and check the UV and IR limits
analytically. We also find further support for the ground-state NLIE by
comparison with boundary conformal perturbation theory (BCPT), boundary
truncated conformal space approach (BTCSA) and the boundary analogue of the
Luscher formula.Comment: 31 pages, LaTeX; graphicx, epstopdf, 4 figure
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