Letters in Mathematical Physics

, Volume 108, Issue 6, pp 1383–1405 | Cite as

Quiver elliptic W-algebras

  • Taro Kimura
  • Vasily PestunEmail author


We define elliptic generalization of W-algebras associated with arbitrary quiver using our construction (Kimura and Pestun in Quiver W-algebras, 2015. arXiv:1512.08533 [hep-th]) with six-dimensional gauge theory.


Supersymmetric gauge theories Conformal field theories W-algebras Quantum groups Quiver Instanton 

Mathematics Subject Classification

81T60 81R10 14D21 81R50 



The work of T.K. was supported in part by Keio Gijuku Academic Development Funds, JSPS Grant-in-Aid for Scientific Research (No. JP17K18090), the MEXT-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (No. S1511006), JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (No. JP15H05855), and “Discrete Geometric Analysis for Materials Design” (No. JP17H06462). VP acknowledges grant RFBR 15-01-04217 and RFBR 16-02-01021. The research of VP on this project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (QUASIFT grant agreement 677368).


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Authors and Affiliations

  1. 1.Keio UniversityTokyoJapan
  2. 2.IHESBures-sur-YvetteFrance

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