TY - JOUR

T1 - "short" spinning strings and structure of quantum AdS 5×S5 spectrum

AU - Beccaria, M.

AU - Giombi, S.

AU - MacOrini, G.

AU - Roiban, R.

AU - Tseytlin, A. A.

N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012/9/13

Y1 - 2012/9/13

N2 - Using information from the marginality conditions of vertex operators for the AdS 5×S5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension ∼√λ. We consider states on the leading Regge trajectory in the flat space limit which carry one or two (equal) spins in AdS 5 or S5 and an orbital momentum in S5, with Konishi multiplet states being particular cases. We argue that the coefficients in the energy may be found by using a semiclassical expansion. By analyzing the examples of folded spinning strings in AdS 5 and S5, as well as three cases of circular two-spin strings, we demonstrate the universality of transcendental (zeta-function) parts of few leading coefficients. We also show the consistency with target space supersymmetry with different states belonging to the same multiplet having the same nontrivial part of the energy. We suggest, in particular, that a rational coefficient (found by Basso for the folded string using Bethe Ansatz considerations and which, in general, is yet to be determined by a direct two-loop string calculation) should, in fact, be universal.

AB - Using information from the marginality conditions of vertex operators for the AdS 5×S5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension ∼√λ. We consider states on the leading Regge trajectory in the flat space limit which carry one or two (equal) spins in AdS 5 or S5 and an orbital momentum in S5, with Konishi multiplet states being particular cases. We argue that the coefficients in the energy may be found by using a semiclassical expansion. By analyzing the examples of folded spinning strings in AdS 5 and S5, as well as three cases of circular two-spin strings, we demonstrate the universality of transcendental (zeta-function) parts of few leading coefficients. We also show the consistency with target space supersymmetry with different states belonging to the same multiplet having the same nontrivial part of the energy. We suggest, in particular, that a rational coefficient (found by Basso for the folded string using Bethe Ansatz considerations and which, in general, is yet to be determined by a direct two-loop string calculation) should, in fact, be universal.

UR - http://www.scopus.com/inward/record.url?scp=84866651135&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866651135&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.86.066006

DO - 10.1103/PhysRevD.86.066006

M3 - Article

AN - SCOPUS:84866651135

VL - 86

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 6

M1 - 066006

ER -