One-loop Superstring Amplitude From Integrals on Pure Spinors Space

Abstract

In the Type II superstring the 4-point function for massless NS-NS bosons at one-loop is well known [1][14]. The overall constant factor in this amplitude is very important because it needs to satisfy the unitarity and S-duality conditions [14]. This coefficient has not been computed in the pure spinor formalism due to the difficulty to solve the integrals on the pure spinors space. In this paper we compute it by using the non-minimal pure spinor formalism and we will show that the answer is in perfect agreement with the one given in [14].

28 pages

References in corpus (5)

• R^4, purified
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism

Cited by in corpus (19)

• The closed-string 3-loop amplitude and S-duality
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• The two-loop superstring five-point amplitude and S-duality
• The geometry of pure spinor space
• On Projections to the Pure Spinor Space
• Scattering of massive open strings in pure spinor
• Pure spinor formulation of the superstring and its applications
• A Projection to the Pure Spinor Space
• Pure spinor computation towards open string three-loop
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism
• Pure Spinor Integration from the Collating Formula
• Topological Amplitude Computations using the Pure Spinor Formalism