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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 submitted: | 2024-11-04 13:40 |
| Submitted by: | Kashyap, Sitender |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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
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:
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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.
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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.
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