The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors

Abstract

Using the results recently obtained for computing integrals over (non-minimal) pure spinor superspace, we compute the coefficient of the massless two-loop four-point amplitude from first principles. Contrasting with the mathematical difficulties in the RNS formalism where unknown normalizations of chiral determinant formulae force the two-loop coefficient to be determined only indirectly through factorization, the computation in the pure spinor formalism can be smoothly carried out.

29 pages, harvmac TeX. v2: add references

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Cited by in corpus (34)

• On the modular structure of the genus-one Type II superstring low energy expansion
• The closed-string 3-loop amplitude and S-duality
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Multiparticle one-loop amplitudes and S-duality in closed superstring theory
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Tropical Amplitudes
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Tetrahedral modular graph functions
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• 6d (2,0) and M-theory at 1-loop
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• The two-loop superstring five-point amplitude and S-duality
• Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• Amplitudes Involving Massive States Using Pure Spinor Formalism
• Fermionic one-loop amplitudes of the RNS superstring
• Scattering equations, supergravity integrands, and pure spinors
• Pure spinor formulation of the superstring and its applications
• Taming the 11D pure spinor b-ghost
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• On pure spinor formalism for quantum superstring and spinor moving frame
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism
• Pure Spinor Integration from the Collating Formula
• Pure spinor computation towards open string three-loop
• Twistor Origin of the Superstring