DDF Construction and D-Brane Boundary States in Pure Spinor Formalism

Abstract

Open string boundary conditions for non-BPS D-branes in type II string theories discussed in hep-th/0505157 give rise to two sectors with integer (R sector) and half-integer (NS sector) modes for the combined fermionic matter and bosonic ghost variables in pure spinor formalism. Exploiting the manifest supersymmetry of the formalism we explicitly construct the DDF (Del Giudice, Di Vecchia, Fubini) states in both the sectors which are in one-to-one correspondence with the states in light-cone Green-Schwarz formalism. We also give a proof of validity of this construction. A similar construction in the closed string sector enables us to define a physical Hilbert space in pure spinor formalism which is used to project the covariant boundary states of both the BPS and non-BPS instantonic D-branes. These projected boundary states take exactly the same form as those found in light-cone Green-Schwarz formalism and are suitable for computing the cylinder diagram with manifest open-closed duality.

37 pages, typos corrected, some organisational changes made

References in corpus (13)

• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• ICTP Lectures on Covariant Quantization of the Superstring
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• Super-Poincare Covariant Two-Loop Superstring Amplitudes
• Covariant One-Loop Amplitudes in D=11
• The Character of Pure Spinors
• Four-Point One-Loop Amplitude Computation in the Pure Spinor Formalism
• Superstrings with boundary fermions
• Partition Functions of Pure Spinors
• Covariant Multiloop Superstring Amplitudes
• D-Brane Boundary States in the Pure Spinor Superstring
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism

Cited by in corpus (6)

• Explaining the Pure Spinor Formalism for the Superstring
• String coherent vertex operators of Neveu-Schwarz and Ramond states
• Spectrum generating algebra for the pure spinor superstring
• Tachyon Condensation and Non-BPS D-branes in a Ramond-Ramond Plane Wave Background
• A Universality in PP-Waves
• Light-Cone Analysis of the Pure Spinor Formalism for the Superstring