15615236
Mesons in marginally deformed AdS/CFT
We study the embedding of spacetime filling D7-branes in β-deformed backgrounds which, according to the AdS/CFT dictionary, corresponds to flavoring β-deformed = 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 -product deformation of super Yang-Mills with fundamental matter.
118567905
Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
Twist operators in the closed $ \mathfrak{s}\mathfrak{l}(2) $ sector of planar $ \mathcal{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 $ \mathfrak{s}\mathfrak{l}(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 AdS5 and charge in S5. 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.
119250353
Leading quantum correction to energy of ‘short’ spiky strings
We consider semiclassical quantization of spiky strings spinning in the AdS3 part of AdS5 × S5 using an 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 one-loop coefficient a01. 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 a01 takes the value (−1/4) found in Gromov et al (2011 J. High Energy Phys. JHEP08(2011)046). 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 a01. These results may be useful for a description of energies of higher excited states in the quantum AdS5 × S5 string spectrum, generalizing earlier discussions of the string counterparts of the Konishi operator.
122325669
PHASES OF QCD: LATTICE THERMODYNAMICS, QUASIPARTICLES AND POLYAKOV LOOP