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references.bib
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year="2021",
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}
@unpublished{SWsuco2,
author="Saberi, Ingmar and Williams, Brian R.",
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}
@article{HarveyMoore,
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title = "{Algebras, BPS states, and strings}",
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@article{Romelsberger,
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year={2006},
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@article{Basu_2005,
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ISSN={0550-3213},
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DOI={10.1016/j.nuclphysb.2005.02.007},
number={1-3},
journal={Nuclear Physics B},
publisher={Elsevier BV},
author={Basu, Anirban and Harvey, Jeffrey A.},
year={2005},
month={5},
pages={136–150}
}
@article{Bagger_2007,
title={Modeling multiple M2-branes},
volume={75},
ISSN={1550-2368},
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year={2007},
month={2}
}
@article{WittenTwist,
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year={1988},
publisher={Springer}
}
@article{Ishtiaque_2020,
title={Topological holography: The example of the {D2--D4} brane system},
volume={9},
ISSN={2542-4653},
url={http://dx.doi.org/10.21468/SciPostPhys.9.2.017},
DOI={10.21468/scipostphys.9.2.017},
number={2},
journal={SciPost Physics},
publisher={Stichting SciPost},
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year={2020},
month={8}
}
@article{Costello_2021,
title={Twisted supergravity and {Koszul} duality: a case study in {AdS$_3$}},
volume={384},
ISSN={1432-0916},
url={http://dx.doi.org/10.1007/s00220-021-04065-3},
DOI={10.1007/s00220-021-04065-3},
number={1},
journal={Communications in Mathematical Physics},
publisher={Springer Science and Business Media LLC},
author={Costello, Kevin and Paquette, Natalie M.},
year={2021},
month={4},
pages={279–339}
}
@misc{costello2021twisted,
title={Twisted holography},
author={Kevin Costello and Davide Gaiotto},
year={2021},
eprint={1812.09257},
archivePrefix={arXiv},
primaryClass={hep-th}
}
@misc{budzik2021giant,
title={Giant gravitons in twisted holography},
author={Kasia Budzik and Davide Gaiotto},
year={2021},
eprint={2106.14859},
archivePrefix={arXiv},
primaryClass={hep-th}
}
@article {KacBible,
AUTHOR = {Kac, Victor G.},
TITLE = {Classification of infinite-dimensional simple linearly compact
{L}ie superalgebras},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {139},
YEAR = {1998},
NUMBER = {1},
PAGES = {1--55},
ISSN = {0001-8708},
MRCLASS = {17B05 (17B65)},
MRNUMBER = {1652530},
MRREVIEWER = {Shlomo Sternberg},
DOI = {10.1006/aima.1998.1756},
URL = {https://doi.org/10.1006/aima.1998.1756},
}
@article {KacE510,
AUTHOR = {Kac, Victor G. and Rudakov, Alexei},
TITLE = {Complexes of modules over exceptional {L}ie superalgebras
{$E(3,8)$} and {$E(5,10)$}},
JOURNAL = {Int. Math. Res. Not.},
FJOURNAL = {International Mathematics Research Notices},
YEAR = {2002},
NUMBER = {19},
PAGES = {1007--1025},
ISSN = {1073-7928},
MRCLASS = {17B25 (17B10)},
MRNUMBER = {1903328},
MRREVIEWER = {A. L. Onishchik},
DOI = {10.1155/S1073792802112062},
}
@article{SWspinor,
author = "Saberi, Ingmar and Williams, Brian R.",
title = "{Twisting pure spinor superfields, with applications to supergravity}",
eprint = "2106.15639",
archivePrefix = "arXiv",
primaryClass = "math-ph",
month = "6",
year = "2021"
}
@article{EagerHahner,
author = "Eager, Richard and Hahner, Fabian",
title = "{Maximally twisted eleven-dimensional supergravity}",
eprint = "2106.15640",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "6",
year = "2021"
}
@article{NV,
title={Nilpotence varieties},
author={Eager, Richard and Saberi, Ingmar and Walcher, Johannes},
journal={Annales Henri Poincar{\'e}},
volume={22},
number={4},
pages={1319--1376},
year={2021},
}
@article{martinSL5,
author = "Cederwall, Martin",
title = "{$SL(5)$} supersymmetry",
eprint = "2107.09037",
archivePrefix = "arXiv",
primaryClass = "math.RT",
month = "7",
year = "2021"
}
@article{Cederwall,
title={Pure spinor superfields: an overview},
author={Cederwall, Martin},
journal={Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity},
pages={61--93},
year={2014},
publisher={Springer}
}
@article{Ced-11d,
author = "Cederwall, Martin",
title = "{$D=11$ supergravity with manifest supersymmetry}",
eprint = "1001.0112",
archivePrefix = "arXiv",
primaryClass = "hep-th",
doi = "10.1142/S0217732310034407",
journal = "Mod. Phys. Lett. A",
volume = "25",
pages = "3201--3212",
year = "2010"
}
@article{Ced-towards,
title={Towards a manifestly supersymmetric action for eleven-dimensional supergravity},
author={Cederwall, Martin},
journal={Journal of High Energy Physics},
volume={2010},
number={1},
pages={1--19},
year={2010},
publisher={Springer}
}
@article{BlauThompson,
title={Topological field theory},
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journal={Physics Reports},
volume={209},
number={4-5},
pages={129--340},
year={1991},
publisher={Elsevier}
}
@article{CLsugra,
author = "Costello, Kevin and Li, Si",
title = "{Twisted supergravity and its quantization}",
eprint = "1606.00365",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "6",
year = "2016"
}
@article{CLbcov1,
author = "Costello, Kevin and Li, Si",
title = "{Quantization of open-closed BCOV theory, I}",
eprint = "1505.06703",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "5",
year = "2015"
}
@article{BCOV,
author = "Bershadsky, M. and Cecotti, S. and Ooguri, H. and Vafa, C.",
title = "{Kodaira--Spencer} theory of gravity and exact results for quantum string amplitudes",
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archivePrefix = "arXiv",
reportNumber = "HUTP-93-A025, RIMS-946, SISSA-142-93-EP",
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@book {CG2,
AUTHOR = {Costello, Kevin and Gwilliam, Owen},
TITLE = {Factorization algebras in quantum field theory. {V}ol. 2},
SERIES = {New Mathematical Monographs},
VOLUME = {41},
PUBLISHER = {Cambridge University Press, Cambridge},
YEAR = {2021},
PAGES = {xiii+402},
% ISBN = {978-1-107-16315-7; 978-1-009-00616-3},
MRCLASS = {81-02 (18M99 70S10 81R10 81T70)},
MRNUMBER = {4300181},
}
@article{GRWthf,
author = "Gwilliam, Owen and Rabinovich, Eugene and Williams, Brian R.",
title = "{Quantization of topological-holomorphic field theories: local aspects}",
eprint = "2107.06734",
archivePrefix = "arXiv",
primaryClass = "math-ph",
month = "7",
year = "2021"
}
@article{CostelloM5,
author = "Costello, Kevin",
title = "{M-theory in the Omega-background and five-dimensional noncommutative gauge theory}",
eprint = "1610.04144",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "10",
year = "2016"
}
@article{CLtypeI,
author = "Costello, Kevin and Li, Si",
title = "{Anomaly cancellation in the topological string}",
eprint = "1905.09269",
archivePrefix = "arXiv",
primaryClass = "hep-th",
doi = "10.4310/ATMP.2020.v24.n7.a2",
journal = "Adv. Theor. Math. Phys.",
volume = "24",
number = "7",
pages = "1723--1771",
year = "2020"
}
@incollection {WittenOpen,
AUTHOR = {Witten, E.},
TITLE = {{Chern--Simons} gauge theory as a string theory},
BOOKTITLE = {The {F}loer memorial volume},
SERIES = {Progr. Math.},
VOLUME = {133},
PAGES = {637--678},
PUBLISHER = {Birkh\"{a}user, Basel},
YEAR = {1995},
MRCLASS = {57R57 (58D30 58Z05 81T13 81T30)},
MRNUMBER = {1362846},
MRREVIEWER = {Bruce Hunt},
}
@article{ESW,
author = "Elliott, Chris and Safronov, Pavel and Williams, Brian R.",
title = "A taxonomy of twists of supersymmetric {Yang--Mills} theory",
eprint = "2002.10517",
archivePrefix = "arXiv",
primaryClass = "math-ph",
month = "2",
year = "2020"
}
@article{BY,
author = "Butson, Dylan and Yoo, Philsang",
title = "Degenerate classical field theories and boundary theories",
eprint = "1611.00311",
archivePrefix = "arXiv",
primaryClass = "math-ph",
month = "11",
year = "2016"
}
@article{Gaiotto:2020vqj,
author = "Gaiotto, Davide and Abajian, Jacob",
title = "Twisted {M2} brane holography and sphere correlation functions",
eprint = "2004.13810",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "4",
year = "2020"
}
@article{Gaiotto:2019wcc,
author = "Gaiotto, Davide and Oh, Jihwan",
title = "Aspects of {$\Omega$}-deformed {M}-theory",
eprint = "1907.06495",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "7",
year = "2019"
}
@article{CostelloM2,
author = "Costello, Kevin",
title = "Holography and {Koszul} duality: the example of the {M2} brane",
eprint = "1705.02500",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "5",
year = "2017"
}
@article{Oh:2020hph,
author = "Oh, Jihwan and Zhou, Yehao",
title = "Feynman diagrams and {$\Omega$}-deformed {M}-theory",
eprint = "2002.07343",
archivePrefix = "arXiv",
primaryClass = "hep-th",
doi = "10.21468/SciPostPhys.10.2.029",
journal = "SciPost Phys.",
volume = "10",
number = "2",
pages = "029",
year = "2021"
}
@article{Oh:2021bwi,
author = "Oh, Jihwan and Zhou, Yehao",
title = "A domain wall in twisted {M}-theory",
eprint = "2105.09537",
archivePrefix = "arXiv",
primaryClass = "hep-th",
month = "5",
year = "2021"
}
@article {BHsusyII,
AUTHOR = {Baez, John C. and Huerta, John},
TITLE = {Division algebras and supersymmetry {II}},
JOURNAL = {Adv. Theor. Math. Phys.},
FJOURNAL = {Advances in Theoretical and Mathematical Physics},
VOLUME = {15},
YEAR = {2011},
NUMBER = {5},
PAGES = {1373--1410},
ISSN = {1095-0761},
MRCLASS = {81T60 (17A35)},
MRNUMBER = {2989835},
MRREVIEWER = {Rutwig Campoamor-Stursberg},
URL = {http://projecteuclid.org/euclid.atmp/1349879112},
}
@book {CDF,
AUTHOR = {Castellani, Leonardo and D'Auria, Riccardo and Fr\'{e}, Pietro},
TITLE = {Supergravity and superstrings. {A} geometric perspective.
{V}ol. 1},
NOTE = {Mathematical foundations},
PUBLISHER = {World Scientific Publishing Co., Inc., Teaneck, NJ},
YEAR = {1991},
PAGES = {xviii+603},
ISBN = {981-02-0673-9},
MRCLASS = {83E50 (81T30 83E15 83E30)},
MRNUMBER = {1120022},
MRREVIEWER = {C. Gauthier},
DOI = {10.1142/0224},
URL = {https://doi.org/10.1142/0224},
}
@article {SSS,
AUTHOR = {Sati, Hisham and Schreiber, Urs and Stasheff, Jim},
TITLE = {Fivebrane structures},
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FJOURNAL = {Reviews in Mathematical Physics. A Journal for Both Review and
Original Research Papers in the Field of Mathematical Physics},
VOLUME = {21},
YEAR = {2009},
NUMBER = {10},
PAGES = {1197--1240},
ISSN = {0129-055X},
MRCLASS = {53C08 (55R40 55R65 55S35 81T30 81T50)},
MRNUMBER = {2588823},
MRREVIEWER = {Corbett Redden},
DOI = {10.1142/S0129055X09003840},
URL = {https://doi.org/10.1142/S0129055X09003840},
}
@article {FSS,
AUTHOR = {Fiorenza, Domenico and Sati, Hisham and Schreiber, Urs},
TITLE = {Super-{L}ie {$n$}-algebra extensions, higher {WZW} models and
super-{$p$}-branes with tensor multiplet fields},
JOURNAL = {Int. J. Geom. Methods Mod. Phys.},
FJOURNAL = {International Journal of Geometric Methods in Modern Physics},
VOLUME = {12},
YEAR = {2015},
NUMBER = {2},
PAGES = {1550018, 35},
ISSN = {0219-8878},
DOI = {10.1142/S0219887815500188},
eprint={1308.5264},
archivePrefix={arXiv},
primaryClass={hep-th},
}
@article {CCDF,
AUTHOR = {Cadavid, A. C. and Ceresole, A. and D'Auria, R. and Ferrara,
S.},
TITLE = {Eleven-dimensional supergravity compactified on {C}alabi--{Y}au
threefolds},
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DOI = {10.1016/0370-2693(95)00891-N},
URL = {https://doi.org/10.1016/0370-2693(95)00891-N},
}
@article {EWpoisson,
AUTHOR = {Elliott, Chris and Williams, Brian R.},
TITLE = {Holomorphic {P}oisson field theories},
JOURNAL = {High. Struct.},
FJOURNAL = {Higher Structures},
VOLUME = {5},
YEAR = {2021},
NUMBER = {1},
PAGES = {1--28},
% MRCLASS = {18N60 (18A22 55P65 55U35)},
% MRNUMBER = {4074276},
%MRREVIEWER = {Ian Coley},
% DOI = {10.1007/jhep01(2020)036},
% URL = {https://doi.org/10.1007/jhep01(2020)036},
}
@misc{RY,
title={Twisted {$S$}-duality},
author={Surya Raghavendran and Philsang Yoo},
year={2019},
eprint={1910.13653},
archivePrefix={arXiv},
primaryClass={math-ph}
}
@article{NekThesis,
author = "Losev, Andrei and Moore, Gregory W. and Nekrasov, Nikita and Shatashvili, Samson",
editor = "Bars, I. and Bouwknegt, P. and Minahan, J. and Nemeschansky, D. and Pilch, K. and Saleur, H. and Warner, N. P.",
title = "{Four-dimensional avatars of two-dimensional RCFT}",
eprint = "hep-th/9509151",
archivePrefix = "arXiv",
reportNumber = "PUPT-1564, ITEP-5-95, YCTP-P-15-95",
doi = "10.1016/0920-5632(96)00015-1",
journal = "Nucl. Phys. B Proc. Suppl.",
volume = "46",
pages = "130--145",
year = "1996"
}
@article {CostelloHol,
AUTHOR = {Costello, Kevin},
TITLE = {Notes on supersymmetric and holomorphic field theories in
dimensions two and four},
JOURNAL = {Pure Appl. Math. Q.},
FJOURNAL = {Pure and Applied Mathematics Quarterly},
VOLUME = {9},
YEAR = {2013},
NUMBER = {1},
PAGES = {73--165},
ISSN = {1558-8599},
MRCLASS = {81R40 (81Q60 81T13)},
MRNUMBER = {3126501},
MRREVIEWER = {Domenico Fiorenza},
DOI = {10.4310/PAMQ.2013.v9.n1.a3},
URL = {https://doi.org/10.4310/PAMQ.2013.v9.n1.a3},
}
@book {Eugene,
AUTHOR = {Rabinovich, Eugene},
TITLE = {Factorization algebras for bulk-boundary systems},
NOTE = {Thesis (Ph.D.), University of California, Berkeley},
% PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2021},
% PAGES = {150},
% ISBN = {978-1339-78666-7},
% MRCLASS = {Thesis},
% MRNUMBER = {3527283},
URL =
{https://math.berkeley.edu/~erabin/Dissertation\%20(9).pdf},
}
@article {NekrasovInstanton,
AUTHOR = {Nekrasov, Nikita A.},
TITLE = {Instanton partition functions and {M}-theory},
JOURNAL = {Jpn. J. Math.},
FJOURNAL = {Japanese Journal of Mathematics},
VOLUME = {4},
YEAR = {2009},
NUMBER = {1},
PAGES = {63--93},
ISSN = {0289-2316},
MRCLASS = {81T45 (05A15 05A19 81T30 81T60)},
MRNUMBER = {2491283},
MRREVIEWER = {Satoshi Minabe},
DOI = {10.1007/s11537-009-0853-9},
URL = {https://doi.org/10.1007/s11537-009-0853-9},
}
@book {SiThesis,
AUTHOR = {Li, Si},
TITLE = {Calabi--{Y}au geometry and higher-genus mirror
symmetry},
NOTE = {Thesis (Ph.D.)--Harvard University},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2011},
PAGES = {174},
ISBN = {978-1124-73644-0},
MRCLASS = {Thesis},
MRNUMBER = {2898602},
URL =
{http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3462673},
}
@book {Fuks,
AUTHOR = {Fuks, D. B.},
TITLE = {Cohomology of infinite-dimensional {L}ie algebras},
SERIES = {Contemporary Soviet Mathematics},
NOTE = {Translated from the Russian by A. B. Sosinski{\u}},
PUBLISHER = {Consultants Bureau, New York},
YEAR = {1986},
PAGES = {xii+339},
ISBN = {0-306-10990-5},
MRCLASS = {17-02 (17B56 17B65)},
MRNUMBER = {874337},
}
@article {SWchar,
AUTHOR = {Saberi, Ingmar and Williams, Brian R.},
TITLE = {Twisted characters and holomorphic symmetries},
JOURNAL = {Lett. Math. Phys.},
FJOURNAL = {Letters in Mathematical Physics},
VOLUME = {110},
YEAR = {2020},
NUMBER = {10},
PAGES = {2779--2853},
ISSN = {0377-9017},
MRCLASS = {81T60 (17B65 17B69 17B81 33E05 81T70)},
MRNUMBER = {4146954},
DOI = {10.1007/s11005-020-01319-4},
URL = {https://doi.org/10.1007/s11005-020-01319-4},
}