Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/162086
DC Field | Value | |
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dc.title | Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory | |
dc.contributor.author | MEER ASHWINKUMAR MUHYIDIN | |
dc.contributor.author | TAN MENG CHWAN | |
dc.date.accessioned | 2019-11-13T00:48:31Z | |
dc.date.available | 2019-11-13T00:48:31Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | MEER ASHWINKUMAR MUHYIDIN, TAN MENG CHWAN (2019). Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory. ScholarBank@NUS Repository. | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/162086 | |
dc.description.abstract | We explain how, starting with a stack of D4-branes ending on an NS5-brane in type IIA string theory, one can, via T-duality and the topological-holomorphic nature of the relevant worldvolume theories, relate (i) the lattice models realized by Costello's 4d Chern-Simons theory, (ii) links in 3d analytically-continued Chern-Simons theory, (iii) the quantum geometric Langlands correspondence realized by Kapustin-Witten using 4d N = 4 gauge theory and its quantum group modification, and (iv) the Gaitsgory-Lurie conjecture relating quantum groups/affine Kac-Moody algebras to Whittaker D-modules/W-algebras. This furnishes, purely physically via branes in string theory, a novel bridge between the mathematics of integrable systems, geometric topology, geometric representation theory, and quantum algebras. | |
dc.source | Elements | |
dc.subject | hep-th | |
dc.subject | hep-th | |
dc.subject | cond-mat.stat-mech | |
dc.subject | math.GT | |
dc.subject | math.QA | |
dc.subject | math.RT | |
dc.type | Article | |
dc.date.updated | 2019-11-12T09:24:47Z | |
dc.contributor.department | DEPT OF PHYSICS | |
dc.published.state | Submitted | |
Appears in Collections: | Staff Publications Elements |
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1910.01134v1.pdf | 337.84 kB | Adobe PDF | OPEN | Pre-print | View/Download |
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