Excited String States and D-branes from Infinite Width Neural Networks
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918331896823808 |
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| author | Ageev, Dmitry S. Ageeva, Yulia A. |
| author_facet | Ageev, Dmitry S. Ageeva, Yulia A. |
| contents | We explore recent proposal to represent worldsheet string path integrals by integrating over parameters of a wide random-feature neural network whose output is identified with the embedding field $X^μ$. In this paper we extend it focusing on scattering with excited states insertions and for worldsheets with boundaries introducing fixed-feature Gaussian normal-ordering prescription for derivative composites (removing the neural contact term at finite width), and propose realization of mixed Neumann/Dirichlet boundary conditions interpreted as a neural D$p$-brane. As concrete outputs, we derive the sphere four-point integrand with a single $(1,1)$ insertion and the disk four-tachyon amplitude on a D$p$-brane, recovering the expected derivative prefactors, boundary exponents, and momentum-conservation limits after renormalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10214 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Excited String States and D-branes from Infinite Width Neural Networks Ageev, Dmitry S. Ageeva, Yulia A. High Energy Physics - Theory Disordered Systems and Neural Networks We explore recent proposal to represent worldsheet string path integrals by integrating over parameters of a wide random-feature neural network whose output is identified with the embedding field $X^μ$. In this paper we extend it focusing on scattering with excited states insertions and for worldsheets with boundaries introducing fixed-feature Gaussian normal-ordering prescription for derivative composites (removing the neural contact term at finite width), and propose realization of mixed Neumann/Dirichlet boundary conditions interpreted as a neural D$p$-brane. As concrete outputs, we derive the sphere four-point integrand with a single $(1,1)$ insertion and the disk four-tachyon amplitude on a D$p$-brane, recovering the expected derivative prefactors, boundary exponents, and momentum-conservation limits after renormalization. |
| title | Excited String States and D-branes from Infinite Width Neural Networks |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2602.10214 |