Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave

Details Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave

2006-06-20

arxiv.org/abs/hep-th/0606193v1

JHEP0609:056,2006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1088/1126-6708/2006/09/056

We compute the planar finite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal $\mathcal{N}=2$ quiver gauge field theory which is a $Z_M$-orbifold of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We match the result to the string dual, IIB superstrings propagating on a pp-wave background with a periodically identified null coordinate. Up to two loops, we show that the computation of operator dimensions, using an effective Hamiltonian technique derived from renormalized perturbation theory and a twisted Bethe ansatz which is a simple generalization of the Beisert-Dippel-Staudacher~\cite{Beisert:2004hm} long range spin chain, agree with each other and also agree with a computation of the analogous quantity in the string theory. We compute the spectrum at three loop order using the twisted Bethe ansatz and find a disagreement with the string spectrum very similar to the known one in the near BMN limit of $\mathcal{N}=4$ super-Yang-Mills theory. We show that, like in $\mathcal{N}=4$, this disagreement can be resolved by adding a conjectured ``dressing factor'' to the twisted Bethe ansatz. Our results are consistent with integrability of the $\mathcal{N}=2$ theory within the same framework as that of $\mathcal{N}=4$.

Affiliated with

Also associated with

No associations

Rating

Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40203