One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction

Abstract

We discuss semiclassical expansions around a class of classical string configurations lying in AdS_3 x S^1 using the Pohlmeyer-reduced from of the AdS_5 x S^5 superstring theory. The Pohlmeyer reduction of the AdS_5 x S^5 superstring theory is a gauged Wess-Zumino-Witten model with an integrable potential and two-dimensional fermionic fields. It was recently conjectured that the quantum string partition function is equal to the quantum reduced theory partition function. Continuing the previous paper (arXiv:0906.3800) where arbitrary solutions in AdS_2 x S^2 and homogeneous solutions were considered, we provide explicit demonstration of this conjecture at the one-loop level for several string solutions in AdS_3 x S^1 embedded into AdS_5 x S^5. Quadratic fluctuations derived in the reduced theory for inhomogeneous strings are equivalent to respective fluctuations found from the Nambu action in the original string theory. We also show the equivalence of fluctuation frequencies for homogeneous strings with both the orbital momentum and the winding on a big circle of S^5.

45 pages, references added, minor corrections

References in corpus (29)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Dyonic Giant Magnons
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Generating AdS String Solutions
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Pohlmeyer reduction revisited
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• On reduced models for superstrings on AdS_n x S^n
• Solitons and AdS String Solutions
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• Moduli Dynamics of AdS_3 Strings
• Exact computation of one-loop correction to energy of spinning folded string in AdS_5 x S^5
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Interacting finite-size magnons
• Large Winding Sector of AdS/CFT
• A New and Elementary CP^n Dyonic Magnon
• Space-like minimal surfaces in AdS x S
• Some comments on spacelike minimal surfaces with null polygonal boundaries in $Ad{S}_m$
• Spiky strings in Bethe Ansatz at strong coupling
• Minimal surfaces in AdS space and Integrable systems
• Series Solution and Minimal Surfaces in AdS

Cited by in corpus (9)

• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
• Pohlmeyer reduction for superstrings in AdS space
• Novel aspects of integrability for NLSMs in symmetric spaces
• Semiclassical short strings in AdS_5 x S^5