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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Wilson coefficients from a non-renormalization theorem in 2D SYM

  1. 1Princeton University

Abstract

A bstract : Matrix string theory [1–3] is a conjectured duality between two-dimensional maximally supersymmetric U( N ) Yang-Mills theory and type-IIA string theory in ten-dimensional Minkowski spacetime. The IR description of this gauge theory is governed by the symmetric product orbifold ( ℝ ⁸ ) N / S N CFT. The leading irrelevant deformation from this IR fixed point is the Dijkgraaf-Verlinde-Verlinde (DVV) operator, which comes with an unknown Wilson coefficient. We determine this coefficient using non-renormalization arguments from the UV gauge theory. The result is consistent with the matrix string theory conjecture and gives a first-principles check of the relation between g YM and the string coupling. We also comment on the prospects for fixing further Wilson coefficients using similar methods.

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BibTeX
@article{bajaj2026wilson,
  title = {{Wilson coefficients from a non-renormalization theorem in 2D SYM}},
  author = {Kabir Bajaj},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)272},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)272},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Wilson coefficients from a non-renormalization theorem in 2D SYM
AU  - Kabir Bajaj
PY  - 2026
DA  - 2026/10/28
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)272
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)272
AB  - A bstract : Matrix string theory [1–3] is a conjectured duality between two-dimensional maximally supersymmetric U( N ) Yang-Mills theory and type-IIA string theory in ten-dimensional Minkowski spacetime. The IR description of this gauge theory is governed by the symmetric product orbifold ( ℝ ⁸ ) N / S N CFT. The leading irrelevant deformation from this IR fixed point is the Dijkgraaf-Verlinde-Verlinde (DVV) operator, which comes with an unknown Wilson coefficient. We determine this coefficient using non-renormalization arguments from the UV gauge theory. The result is consistent with the matrix string theory conjecture and gives a first-principles check of the relation between g YM and the string coupling. We also comment on the prospects for fixing further Wilson coefficients using similar methods.
SN  - 1029-8479
ER  -