Theta Expansion of First Massive Vertex Operator in Pure Spinor

Abstract

We provide the covariant superspace equations that are sufficient to determine the complete $\theta$ expansion of the vertex operator of the open string massive states with $(mass{)}^2=1/{\alpha }^{\prime }$ in pure spinor formalism of superstring theory. These equations get rid of the redundant degrees of freedom in superfields and are consistent with the BRST conditions derived in [1]. Further, we give the explicit $\theta$ expansion of the superfields appearing in the unintegrated vertex to $O({\theta }^3)$. Finally, we compute the contribution to a 3-point tree amplitude with the resulting vertex operator upto $O({\theta }^3)$ and find its kinematic structure to be identical to the corresponding RNS computation.

32 pages

References in corpus (9)

• ICTP Lectures on Covariant Quantization of the Superstring
• 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
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• Superstrings in General Backgrounds
• Integrated Massive Vertex Operator in Pure Spinor Formalism
• Scattering of massive open strings in pure spinor

Cited by in corpus (5)

• Amplitudes Involving Massive States Using Pure Spinor Formalism
• $Ad{S}_5\times S^5$ supergravity vertex operators
• Integrated Massive Vertex Operator in Pure Spinor Formalism
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Tension between string amplitude prescriptions with presumed spacetime supersymmetry