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We study global anomalies of discrete gauge symmetries in six-dimensional supergravities and their realizations in F-theory.
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M.D.F. de Wild Propitius, Topological interactions in broken gauge theories , Ph.D. thesis, Amsterdam U., 1995 · 1995
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C. Vafa, Evidence for F theory , Nucl. Phys. B 469
1996
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D.R. Morrison and C. Vafa, Compactifications of F theory on Calabi-Yau threefolds. 1 , Nucl. Phys. B 473
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D.R. Morrison and C. Vafa, Compactifications of F theory on Calabi-Yau threefolds. 2. , Nucl. Phys. B 476
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M. Bershadsky, K.A. Intriligator, S. Kachru, D.R. Morrison, V. Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries , Nucl. Phys. B 481
1996
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1996
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1996
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E. Witten, Five-brane effective action in M theory , J. Geom. Phys. 22
1997
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A. Klemm, P. Mayr and C. Vafa, BPS states of exceptional noncritical strings , Nucl. Phys. B Proc. Suppl. 58
1997
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P.S. Aspinwall, S.H. Katz and D.R. Morrison, Lie groups, Calabi-Yau threefolds, and F theory , Adv. Theor. Math. Phys. 4
2000
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J. de Boer, R. Dijkgraaf, K. Hori, A. Keurentjes, J. Morgan, D.R. Morrison et al., Triples, fluxes, and strings , Adv. Theor. Math. Phys. 4
2002
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A. Căldăraru, Derived categories of twisted sheaves on elliptic threefolds , J. Reine Angew. Math. 544
2002
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2003
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S. Stolz and P. Teichner, What is an elliptic object? , in Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal , U. Tillmann, ed., London Mathematical Society Lecture Note Series, p. 247–343, Cambridge University Press (2004), DOI
2004
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D.S. Freed, G.W. Moore and G. Segal, Heisenberg Groups and Noncommutative Fluxes , Annals Phys. 322
2007
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L.B. Anderson, Y.-H. He and A. Lukas, Monad Bundles in Heterotic String Compactifications , JHEP 07
2016
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P. Etingof, S. Gelaki, D. Nikshych and V. Ostrik, Tensor Categories , Mathematical Surveys and Monographs, American Mathematical Society (2016)
2016
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2016
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2016
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B. Haghighat, S. Murthy, C. Vafa and S. Vandoren, F-theory, spinning black holes and multi-string branches , Journal of High Energy Physics 2016
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2008
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J.H. Silverman, The Arithmetic of Elliptic Curves , Graduate Texts in Mathematics, Springer New York (2009)
2009
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V. Kumar, D.R. Morrison and W. Taylor, Mapping 6D N = 1 supergravities to F-theory , JHEP 02
2010
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2010
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2010
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T.W. Grimm, The N=1 effective action of F-theory compactifications , Nucl. Phys. B 845
2011
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J. Davighi and N. Lohitsiri, The algebra of anomaly interplay , SciPost Phys. 10
2011
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2012
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2016
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2017
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2017
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M. Del Zotto and G. Lockhart, On Exceptional Instanton Strings , JHEP 09
2017
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2018
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2018
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M. Cvetič and L. Lin, TASI Lectures on Abelian and Discrete Symmetries in F-theory , PoS TASI2017
2018
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2018
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L. Bhardwaj and Y. Tachikawa, On finite symmetries and their gauging in two dimensions , JHEP 03
2018
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T. Weigand, F-theory , PoS TASI2017
2018
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2018
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T. Numasawa and S. Yamaguchi, Mixed global anomalies and boundary conformal field theories , JHEP 11
2018
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M. Del Zotto and G. Lockhart, Universal Features of BPS Strings in Six-dimensional SCFTs , JHEP 08
2018
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2018
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2018
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S.-J. Lee, W. Lerche and T. Weigand, Tensionless Strings and the Weak Gravity Conjecture , JHEP 10
2018
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N. Raghuram and W. Taylor, Large U(1) charges in F-theory , JHEP 10
2018
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I.n. García-Etxebarria and M. Montero, Dai-Freed anomalies in particle physics , JHEP 08
2019
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2019
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2019
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2019
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2019
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N. Hajouji, Trace Zero Points on Elliptic Fibrations , Ph.D. thesis, UC, Santa Barbara (main), 2020
2020
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2021
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S. Gukov, D. Pei, P. Putrov and C. Vafa, 4-manifolds and topological modular forms , JHEP 05
2021
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2022
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2022
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F.B. Kohl, M. Larfors and P.-K. Oehlmann, F-theory on 6D symmetric toroidal orbifolds , JHEP 05
2022
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Y. Lee and K. Yonekura, Global anomalies in 8d supergravity , JHEP 07
2022
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