Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion

Abstract

We consider the Pohlmeyer-reduced formulation of the AdS_5 x S^5 superstring. It is constructed by introducing new variables which are algebraically related to supercoset current components so that the Virasoro conditions are automatically solved. The reduced theory is a gauged WZW model supplemented with an integrable potential and fermionic terms that ensure its UV finiteness. The original superstring theory and its reduced counterpart are closely related at the classical level, and we conjecture that they remain related at the quantum level as well, in the sense that their quantum partition functions evaluated on respective classical solutions are equal. We provide evidence for the validity of this conjecture at the one-loop level, i.e. at the first non-trivial order of the semiclassical expansion near several classes of classical solutions.

arXiv comment44 pages. v2: references added

References in corpus (48)

• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Giant Magnons
• Multi-spin string solutions in AdS_5 x S^5
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• New Connections Between 4D and 5D Black Holes
• Finite-size Effects from Giant Magnons
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Spinning strings and AdS/CFT duality
• Circular Semiclassical String Solutions on AdS_5 x S_5
• Quantizing three-spin string solution in AdS_5 x S^5
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• 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
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• On one-loop correction to energy of spinning strings in S^5
• Generating AdS String Solutions
• Functional Determinants in Quantum Field Theory
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Pohlmeyer reduction revisited
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• 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
• An action variable of the sine-Gordon model
• Multi-String Solutions by Soliton Methods in De Sitter Spacetime
• A nonlocal Poisson bracket of the sine-Gordon model
• Chiral gauge dynamics and dynamical supersymmetry breaking
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Interacting finite-size magnons
• Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
• Large Winding Sector of AdS/CFT
• On spacelike and timelike minimal surfaces in $Ad{S}_n$
• A New and Elementary CP^n Dyonic Magnon
• Semiclassical Quantization of the Giant Magnon
• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• N-body Dynamics of Giant Magnons in RxS2

Cited by in corpus (27)

• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Superstrings in AdS(2)xS(2)xT(6)
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Quantum integrability and functional equations
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• On the perturbative S-matrix of generalized sine-Gordon models
• Space-like minimal surfaces in AdS x S
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Classical and Quantum Solitons in the Symmetric Space Sine-Gordon Theories
• Phase transitions in Wilson loop correlator from integrability in global AdS
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Worldsheet Supersymmetry of Pohlmeyer-Reduced AdS_n x S^n Superstrings
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• The Structure of Non-Abelian Kinks
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
• Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
• Giant magnons and non-maximal giant gravitons
• Perturbations of Pulsating Strings
• Reduced matrix elements of the orthosymplectic Lie superalgebra
• Pohlmeyer reduction for superstrings in AdS space
• Novel aspects of integrability for NLSMs in symmetric spaces