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Topological Quantum Mechanics on Orbifolds and Orbifold Index

Quantum Algebra 2025-04-09 v1 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP

Abstract

In this paper, we study topological quantum mechanical models on symplectic orbifolds. The correlation map gives an explicit orbifold version of quantum HKR map. The exact semi-classical approximation in this model leads to a geometric and quantum field theoretic interpretation of the orbifold algebraic index.

Keywords

Cite

@article{arxiv.2403.07590,
  title  = {Topological Quantum Mechanics on Orbifolds and Orbifold Index},
  author = {Si Li and Peng Yang},
  journal= {arXiv preprint arXiv:2403.07590},
  year   = {2025}
}

Comments

29 pages. Comments are welcome. arXiv admin note: text overlap with arXiv:1911.11173