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We study the structure of anomalies in general heterotic string theories by considering general 2-dimensional $\mathcal{N}=(0,1)$ supersymmetric quantum field theories (SQFTs), without assuming conformal invariance nor the correct central charges.
1902
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S. Monnier, A Modern Point of View on Anomalies,
1903
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D. Gaiotto and T. Johnson-Freyd, Mock modularity and a secondary elliptic genus,
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A. Dabholkar, D. Jain, and A. Rudra, APS η \eta -invariant, path integrals, and mock modularity,
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M. B. Green and J. H. Schwarz, Anomaly Cancellation in Supersymmetric D=10 Gauge Theory and Superstring Theory,
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E. Witten, GLOBAL GRAVITATIONAL ANOMALIES,
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E. Witten, Topological Tools in Ten-dimensional Physics,
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E. Witten, Elliptic Genera and Quantum Field Theory,
1987
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A. N. Schellekens and N. P. Warner, Anomalies, Characters and Strings,
1987
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W. Lerche, B. E. W. Nilsson, A. N. Schellekens, and N. P. Warner, Anomaly Cancelling Terms From the Elliptic Genus,
1988
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W. Lerche, A. N. Schellekens, and N. P. Warner, Lattices and Strings,
1989
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P. Teichner, On the signature of four-manifolds with universal covering spin,
1993
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E. Witten, World sheet corrections via D instantons,
2000
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Cambridge University Press, 6, 2013
S. Weinberg, The quantum theory of fields. Vol. 3: Supersymmetry · 2013
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D. S. Freed, Anomalies and Invertible Field Theories,
2014
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U. Bunke and N. Naumann, Secondary invariants for string bordism and topological modular forms,
2014
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2015
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K. Yonekura, Dai-Freed theorem and topological phases of matter,
2016
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X.-z. Dai and D. S. Freed, eta invariants and determinant lines,
2001
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2003
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Topology, geometry and quantum field theory, London Math. Soc. Lecture Note Ser., vol. 308, Cambridge University Press, 2004
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2004
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2005
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2006
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2016
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2016
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K. Yonekura, On the cobordism classification of symmetry protected topological phases,
2019
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I. n. Garc\́mathsf{i}a-Etxebarria and M. Montero, Dai-Freed anomalies in particle physics,
2019
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2019
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S. Gukov, D. Pei, P. Putrov, and C. Vafa, 4-manifolds and topological modular forms,
2021
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D. S. Freed and M. J. Hopkins, Reflection positivity and invertible topological phases,
2021
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D. Delmastro, D. Gaiotto, and J. Gomis, Global anomalies on the Hilbert space,
2021
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