Fermionic superstring loop amplitudes in the pure spinor formalism

Abstract

The pure spinor formulation of the ten-dimensional superstring leads to manifestly supersymmetric loop amplitudes, expressed as integrals in pure spinor superspace. This paper explores different methods to evaluate these integrals and then uses them to calculate the kinematic factors of the one-loop and two-loop massless four-point amplitudes involving two and four Ramond states.

22 pages; signs and coefficients adjusted for anticommuting superfields, section 4.3 changed accordingly, reference added

References in corpus (11)

• Super-Poincare Covariant Quantization of the Superstring
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• Two-Loop Superstrings I, Main Formulas
• R^4, purified
• Super-Poincare Covariant Two-Loop Superstring Amplitudes
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Covariant One-Loop Amplitudes in D=11
• Holography in Superspace
• Vertex Operators for Closed Superstrings
• Four-Point One-Loop Amplitude Computation in the Pure Spinor Formalism

Cited by in corpus (7)

• The closed-string 3-loop amplitude and S-duality
• Simplifying the Tree-level Superstring Massless Five-point Amplitude
• Pure spinor superfields -- an overview
• Pure Spinor Superspace Identities for Massless Four-point Kinematic Factors
• Tree-level amplitudes from the pure spinor superstring
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Amplitudes Involving Massive States Using Pure Spinor Formalism