Light-cone Gauge Superstring Field Theory and Dimensional Regularization II

Abstract

We propose a dimensional regularization scheme to deal with the divergences caused by colliding supercurrents inserted at the interaction points, in the light-cone gauge NSR superstring field theory. We formulate the theory in $d$ dimensions and define the amplitudes as analytic functions of $d$. With an appropriately chosen three-string interaction term and large negative $d$, the tree level amplitudes for the (NS,NS) closed strings can be recast into a BRST invariant form, using the superconformal field theory proposed in Ref.[arXiv:0911.3704]. We show that in the limit $d\to 10$ they coincide with the results of the first quantized theory. Therefore we obtain the desired results without adding any contact interaction terms to the action.

23 pages; v2: minor modifications; v3: revised argument in section 3, added appendix C, results unchanged; v4: added clarifications, two figures and a footnote; v5: minor modifications

References in corpus (4)

• Light-Cone Gauge String Field Theory in Noncritical Dimensions
• Light-cone Gauge Superstring Field Theory and Dimensional Regularization II
• Light-Cone Gauge Superstring Field Theory and Dimensional Regularization
• Light-cone Gauge NSR Strings in Noncritical Dimensions

Cited by in corpus (13)

• Light-Cone Gauge String Field Theory in Noncritical Dimensions
• Multiloop Amplitudes of Light-cone Gauge Bosonic String Field Theory in Noncritical Dimensions
• Light-cone Gauge Superstring Field Theory and Dimensional Regularization II
• Worldsheet theory of light-cone gauge noncritical strings on higher genus Riemann surfaces
• Multiloop Amplitudes of Light-cone Gauge Superstring Field Theory: Odd Spin Structure Contributions
• Light-cone Gauge NSR Strings in Noncritical Dimensions II -- Ramond Sector
• Spacetime Fermions in Light-cone Gauge Superstring Field Theory and Dimensional Regularization
• Conformal to Harmonic Gauge for Bosonic Strings
• Entanglement Entropy in Closed String Theory
• Multiloop Amplitudes of Light-cone Gauge NSR String Field Theory in Noncritical Dimensions
• Light-cone Gauge String Field Theory and Dimensional Regularization
• Multiloop Amplitudes of Light-cone Gauge String Field Theory for Type II Superstrings
• A consistent light-cone-gauge superstring field theory