"Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum

Abstract

Using information from the marginality conditions of vertex operators for the AdS_5 x S^5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension proportional to lambda^(1/2). We consider states on the leading Regge trajectory in the flat space limit which carry one or two (equal) spins in AdS_5 or S^5 and an orbital momentum in S^5, 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 S^5 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 non-trivial 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.

42p, Latex v2: Comments and summary table of coefficients added v3: misprints corrected; dependence on winding number added in appendix B

References in corpus (10)

• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Konishi operator at intermediate coupling
• Five-loop Konishi in N=4 SYM
• Quantum corrections to energy of short spinning string in AdS5
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Scaling dimensions from the mirror TBA
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• Resummation of semiclassical short folded string
• On the short string limit of the folded spinning string in AdS5 x S5

Cited by in corpus (9)

• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• Scaling dimensions at small spin in N=4 SYM theory
• More about "short" spinning quantum strings
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Integrability treatment of AdS/CFT orbifolds
• On type 0 string theory in solvable RR backgrounds
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Exact Results in Supersymmetric Gauge Theories