@article{9b7b64977da248809f0f97ca49231f5c,
title = "Fractional quiver W-algebras",
abstract = "We introduce quiver gauge theory associated with the non-simply laced type fractional quiver and define fractional quiver W-algebras by using construction of Kimura and Pestun (Lett Math Phys, 2018. https://doi.org/10.1007/s11005-018-1072-1; Lett Math Phys, 2018. https://doi.org/10.1007/s11005-018-1073-0) with representation of fractional quivers.",
keywords = "Conformal field theories, Instanton, Quantum groups, Quiver, Supersymmetric gauge theories, W-algebras",
author = "Taro Kimura and Vasily Pestun",
note = "Funding Information: 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). V.P. acknowledges grant RFBR 16-02-01021. The research of V.P. 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 No. 677368). Funding Information: Acknowledgements 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). V.P. acknowledges grant RFBR 16-02-01021. The research of V.P. on this project has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation program (QUASIFT Grant Agreement No. 677368). Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media B.V., part of Springer Nature.",
year = "2018",
month = nov,
day = "1",
doi = "10.1007/s11005-018-1087-7",
language = "English",
volume = "108",
pages = "2425--2451",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "11",
}