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Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism

by Sitender Pratap Kashyap

Submission summary

Authors (as registered SciPost users): Sitender Kashyap
Submission information
Preprint Link: scipost_202411_00006v1  (pdf)
Date accepted: 2024-11-26
Date submitted: 2024-11-04 13:40
Submitted by: Kashyap, Sitender
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We provide a prescription for computing two-point tree-level amplitudes in the pure spinor formalism that provides finite results that agree with the corresponding expression in the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], the same result was discovered in the bosonic strings with indications of generalization to superstrings in the Ramond-Neveu-Schwarz formalism. Pure spinor formalism is the unique super-Poincare covariant approach to quantizing superstrings [arXiv:hep-th/0001035v2]. Since the pure spinor formalism is equivalent to other superstring formalisms, it verifies the above claim. We introduce a mostly BRST exact operator to achieve this.

Author comments upon resubmission

Made all the changes the made by both referees in report 1 and report 2. The only exception is the comment to the 5th query of report 2. Our results are for any states of superstrings, not-necessarily massive ones. In equation all equations we can set m1=0 to get the results for massless states.

List of changes

General comments:
1. New equations in the main text are unnamed if added. This keeps the equations the same as in the older version.
2. There was a thorough check of grammar and many sentences have been modified in this light.
3. A new appendix E called "Requirement of a non-zero two-point string amplitude" in response to the query by referee 1. 

Apart from this, here is a list of changes in the order of increasing page numbers.

1. Shortened the abstract.
2. More details about the gauge fixing were added: unnamed equation above before equation 1 is added.
3. Below equation 3, an equation describing pure spinor constraint was given as requested by referee 1.
4. Between equations 6 and 7, we described the epsilon symbol and the contour prescription.
5. Rewrote equation 12, so that the notation z_{12} is avoided.
6. In the conclusion section, we added a reference the new appendix E.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #2 by Anonymous (Referee 2) on 2024-11-19 (Invited Report)

Report

I have reviewed the revised manuscript and confirm that the authors have adequately addressed the comments from the previous review. The revisions improve the clarity and quality of the work, and I have no further concerns. I recommend the paper for publication.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #1 by Anonymous (Referee 1) on 2024-11-4 (Invited Report)

Report

In the revised resubmission, the author has addressed all the issues and queries raised in my previous report. I therefore recommend the manuscript for publication in SciPost Physics Core.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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