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Branes and Daha Representations
Paperback
Series: Springerbriefs in Mathematical Physics, Book 48
ISBN13: 9783031281532
Publisher: Springer Nature
Published: Aug 29 2023
Pages: 143
Weight: 0.49
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English
The finite-dimensional DAHA representations are shown to be in one-to-one correspondence with the compact Lagrangian branes. Along the way, the authors discover new finite-dimensional indecomposable representations. They proceed to embed the A-model story in an M-theory brane construction, closely related to the one used in the 3d/3d correspondence; as a result, modular tensor categories behind particular finite-dimensional representations with PSL(2, Z) action are identified. The relationship of Coulomb branch geometry and algebras of line operators in 4d N = 2* theories to the double affine Hecke algebra is studied further by using a further connection to the fivebrane system for the class S construction.
The book is targeted at experts in mathematical physics, representation theory, algebraic geometry, and string theory.
This is an open access book.
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