14 research outputs found
Semiclassical folded string in AdS4 X CP3
We consider type IIA superstring theory on the background AdS4 x CP3, and the
classical solution describing a folded string spinning in AdS4 with angular
momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist
operators in the ABJM superconformal theory. We quantize the classical solution
by algebraic curve methods and determine the first semiclassical correction to
the energy. We provide an integral representation for this quantity valid for
all values of the charges. We analyze its properties in the special regimes
associated with a short or long string providing various accurate analytical
expansions. Finally, we investigate various properties of the so-called slope,
the leading term of the energy for short strings, collecting information that
could be useful in attempts to generalize the exact results recently proposed
for the folded string in AdS5 x S5.Comment: 23 pages, 1 pdf figure, JHEP style, typo correcte
From Correlators to Wilson Loops in Chern-Simons Matter Theories
We study n-point correlation functions for chiral primary operators in three
dimensional supersymmetric Chern-Simons matter theories. Our analysis is
carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6
ABJM and the N=8 BLG models. In the limit where the positions of adjacent
operators become light-like, we find that the one-loop n-point correlator
divided by its tree level expression coincides with a light-like n-polygon
Wilson loop. Remarkably, the result can be simply expressed as a linear
combination of five dimensional two-mass easy boxes. We manage to evaluate the
integrals analytically and find a vanishing result, in agreement with previous
findings for Wilson loops.Comment: 32 pages, 6 figures, JHEP
Mesons in marginally deformed AdS/CFT
We study the embedding of spacetime filling D7-branes in beta-deformed
backgrounds which, according to the AdS/CFT dictionary, corresponds to
flavoring beta-deformed N=4 super Yang-Mills. We consider supersymmetric and
more general non-supersymmetric three parameter deformations. The equations of
motion for quadratic fluctuations of a probe D7-brane wrapped on a deformed
three-sphere exhibit a non-trivial coupling between scalar and vector modes
induced by the deformation. Nevertheless, we manage to solve them analytically
and find that the mesonic mass spectrum is discrete, with a mass gap and a
Zeeman-like splitting occurs. Finally we propose the action for the dual field
theory as obtained by star-product deformation of super Yang-Mills with
fundamental matter.Comment: LaTex, 42 pages, 3 figures, uses JHEP
Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
Twist operators in the closed sl(2) sector of planar N=4 SYM are
characterized by their spin. The explicit dependence of anomalous dimensions on
this important parameter is a source of interesting information. Wrapping
corrections are a non trivial part of the calculation and are under control in
the framework of thermodynamical Bethe Ansatz valid for the full theory and
thoroughly checked in that sector. The extension to more general twist
operators beyond sl(2) has been recently accomplished for the so-called 3-gluon
operators that are a special case of the generalized twist operators introduced
by Freyhult, Rej and Zieme. Such operators are dual to spinning strings
configurations with two spins S1, S2 in AdS_5 and charge in S^5. We compute the
expansion of the weak-coupling leading order wrapping correction in the gauge
theory limit dual to large S1 and fixed S2. We present a simple algorithm for
the calculation and provide explicit results illustrating the general structure
of the expansion.Comment: 20 page
Leading quantum corrections to energy of "short" spiky strings
We consider semiclassical quantization of spiky strings spinning in AdS_3
part of AdS_5 X S^5 using integrability-based (algebraic curve) method. In the
"short string" (small spin) limit the expansion of string energy starts with
its flat-space expression. We compute the leading quantum string correction to
"short" spiky string energy and find the explicit form of the corresponding
1-loop coefficient a_01. It turns out to be rational and expressed in terms of
the harmonic sums as functions of the number n of spikes. In the special case
of n=2 when the spiky string reduces to the single-folded spinning string the
coefficient a_01 takes the value (-1/4) found in arXiv:1102.1040. We also
consider a similar computation for the m-folded string and more general spiky
string with an extra "winding" number, finding similar expressions for a_01.
These results may be useful for a description of energies of higher excited
states in the quantum AdS_5 X S^5 string spectrum, generalizing earlier
discussions of the string counterparts of the Konishi operator.Comment: 20 pages, LaTeX, JHEP styl