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M5-brane prongs, string soliton bound states and wall-crossing
by Varun Gupta, Krishnan Narayan
Submission summary
| Authors (as registered SciPost users): | Varun Gupta · K. Narayan |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00013v1 (pdf) |
| Date submitted: | 2024-11-06 18:42 |
| Submitted by: | Gupta, Varun |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study abelian M5-brane field configurations representing BPS bound states of self-dual string solitons whose locations correspond to the endlines of M2-branes ending on the M5-branes. The BPS equations are obtained from appropriate Bogomolny completion of the effective abelian low energy functional with two transverse scalars, using two vectors representing the directions along which these endline strings extend. Then we impose boundary conditions on the scalars near the string soliton cores. This leads to a molecule-like equilibrium structure of two non-parallel string solitons at fixed transverse separations, with the M5-brane "prong" deformations comprising two "spikes", each shaped like a ridge. The resulting picture becomes increasingly accurate as one approaches the wall of marginal stability, on which these states decay. There are various parallels with wall-crossing phenomena for string web configurations obtained from D3-brane deformations.
Author comments upon resubmission
We hope with the modifications listed below the paper is now suitable for publication.
List of changes
list of changes:
(1) We have added the reference arxiv:1205.1535 at an appropriate place in the introduction (as ref.[15], pg.2 bottom, alongwith refs[13,14]).
(2) Appendix A is shortened by some amount.
(3) Appendix C is shortened by a significant amount. We have trimmed the calculation presented for the 1-string tension in section C.3. We have removed some intermediate steps.
(4) In Appendix C.3 section, we have also completely removed the analysis of the cross term (ζ1 · ζ2)(∂X · ∂Y ) and the proof that its contribution to the 1-string tension formula vanishes in the marginal stability limit (instead we have added a sentence at the end stating this).
(5) In section 3.4 we have done some minor trimming. We have shortened some equations in this section.