5d-4d correspondence in twisted M-theory on a conifold

Ashwinkumar, Meer; Faizal, Mir; Shabir, Arshid; Smith, Douglas J.; Zhou, Yehao

Abstract

We study twisted M-theory in a general conifold background, and describe it in terms of a 5d non-commutative Chern-Simons-matter theory, which is equivalent to 5d non-commutative Chern-Simons theory for a supergroup. In an equivalent description as twisted type IIA string theory, the matter degrees of freedom arise from topological strings stretched between stacks of D6-branes. In order to study 5d Chern-Simons-matter theories with a boundary, we first construct and investigate the properties of a 4d non-commutative gauged chiral WZW model. We prove the gauge invariant coupling of this 4d theory to the bulk 5d Chern-Simons theory defined on ℝ+ × ℂ2, and further generalize our results to the 5d Chern-Simons-matter theory. We also investigate the toroidal current algebra of the 4d chiral WZW model that arises from radial quantization along one of the complex planes. Finally, we show that a gauged non-commutative chiral 4d WZW model arises from the partition function for quantum 5d non-commutative Chern-Simons theory with boundaries in the BV-BFV formalism, and further generalize this 5d-4d correspondence to the 5d non-commutative Chern-Simons-matter theory for the case of adjoint matter.

Citation

Ashwinkumar, M., Faizal, M., Shabir, A., Smith, D. J., & Zhou, Y. (2025). 5d-4d correspondence in twisted M-theory on a conifold. Journal of High Energy Physics, 2025, Article 73. https://doi.org/10.1007/jhep05%282025%29073

• Journal Article Type: Article
• Acceptance Date: Apr 4, 2025
• Online Publication Date: May 8, 2025
• Publication Date: May 8, 2025
• Deposit Date: May 20, 2025
• Publicly Available Date: May 20, 2025
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2025
• Article Number: 73
• DOI: https://doi.org/10.1007/jhep05%282025%29073
• Keywords: Chern-Simons Theories, M-Theory
• Public URL: https://durham-repository.worktribe.com/output/3950549