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• W1871306779 abstract "We discuss multiloop MHV amplitudes in the N=4 SYM theory in terms of effective gravity in the momentum space with IR regulator branes as degrees of freedom. Kinematical invariants of external particles yield the moduli spaces of complex or Kahler structures which are the playgrounds for the Kodaira-Spencer(KS) or Kahler type gravity. We suggest fermionic representation of the loop MHV amplitudes in the N=4 SYM theory assuming the identification of the IR regulator branes with KS fermions in the B model and Lagrangian branes in A model. The two-easy mass box diagram is related to the correlator of fermionic currents on the spectral curve in B model or hyperbolic volume in the A model and it plays the role of a building block in the whole picture. The BDS-like anzatz has the interpretation as the semiclassical limit of a fermionic correlator. It is argued that fermionic representation implies a kind of integrability on the moduli spaces. We conjecture the interpretation of the reggeon degrees of freedom in terms of the open strings stretched between the IR regulator branes." @default.
• W1871306779 created "2016-06-24" @default.
• W1871306779 creator A5061217069 @default.
• W1871306779 date "2009-12-03" @default.
• W1871306779 modified "2023-10-16" @default.
• W1871306779 title "Amplitudes in theN=4supersymmetric Yang-Mills theory from quantum geometry of momentum space" @default.
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• W1871306779 doi "https://doi.org/10.1103/physrevd.80.125002" @default.
• W1871306779 hasPublicationYear "2009" @default.
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