Bound states in the mirror TBA
Citation:
Gleb Arutyunov, Sergey Frolov, Stijn J. van Tongeren, Bound states in the mirror TBA, Journal of High Energy Physics, 2012, 014Download Item:
Abstract:
The spectrum of the light-cone AdS
5
S
5
superstring contains states composed
of particles with complex momenta including in particular those which turn into bound
states in the decompacti cation limit. We propose the mirror TBA description for these
states. We focus on a three-particle state which is a nite-size representative of a scattering
state of a fundamental particle and a two-particle bound state and dual to an operator from
the
su
(2) sector of
N
= 4 SYM. We nd that the analytic behavior of Y-functions di ers
drastically from the case of states with real momenta. Most importantly,
Y
Q
-functions
exhibit poles in the analyticity strip which leads to the appearance of new terms in the
formula for the energy of this state. In addition, the TBA equations are supplied by
quantization conditions which involve
Y
2
. Considering yet another example of a three-
particle state, we nd that the corresponding quantization conditions do not even involve
Y
1
. Our treatment can be generalized to a wide class of states with complex momenta
Sponsor
Grant Number
Science Foundation Ireland (SFI)
09/RFP/PHY2142
Author's Homepage:
http://people.tcd.ie/frolovsDescription:
PUBLISHED
Author: FROLOV, SERGEY
Type of material:
Journal ArticleSeries/Report no:
Journal of High Energy PhysicsAvailability:
Full text availableDOI:
http://dx.doi.org/10.1007/JHEP02(2012)014Metadata
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