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Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories

Abstract

We study the vacuum structure of maximally supersymmetric Yang--Mills theory in two dimensions. At low energies, the theory decomposes into superselection sectors consisting of orbifold conformal field theories and massive vacua. The sectors are indexed by the cuspidal data appearing in Lusztig's generalized Springer correspondence. This suggests an enhancement of the correspondence to holomorphic factorization algebras.

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BibTeX
@misc{eager2026vacuum,
  title = {{Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories}},
  author = {Richard Eager},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18074},
  eprint = {2609.18074},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18074},
}
RIS
TY  - UNPB
TI  - Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories
AU  - Richard Eager
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18074
UR  - https://arxiv.org/abs/2609.18074
AB  - We study the vacuum structure of maximally supersymmetric Yang--Mills theory in two dimensions. At low energies, the theory decomposes into superselection sectors consisting of orbifold conformal field theories and massive vacua. The sectors are indexed by the cuspidal data appearing in Lusztig's generalized Springer correspondence. This suggests an enhancement of the correspondence to holomorphic factorization algebras.
ER  -