Download this article
 Download this article For screen
For printing
Recent Issues

Volume 28
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Chern characters for supersymmetric field theories

Daniel Berwick-Evans

Geometry & Topology 27 (2023) 1947–1986
Bibliography
1 O Alvarez, T P Killingback, M Mangano, P Windey, The Dirac–Ramond operator in string theory and loop space index theorems, Nuclear Phys. B Proc. Suppl. 1A (1987) 189 MR1005560
2 B Arnold, The parallel transport of a superconnection, in preparation
3 T Barthel, D Berwick-Evans, N Stapleton, Power operations in the Stolz–Teichner program, Geom. Topol. 26 (2022) 1773 MR4504450
4 N Berline, E Getzler, M Vergne, Heat kernels and Dirac operators, 298, Springer (1992) MR1215720
5 D Berwick-Evans, Supersymmetric localization, modularity and the Witten genus, preprint (2019) arXiv:1911.11015
6 D Berwick-Evans, Supersymmetric field theories and the elliptic index theorem with complex coefficients, Geom. Topol. 25 (2021) 2287 MR4310891
7 D Berwick-Evans, Equivariant elliptic cohomology, gauged sigma models, and discrete torsion, Trans. Amer. Math. Soc. 375 (2022) 369 MR4358671
8 D Berwick-Evans, A Tripathy, A model for complex analytic equivariant elliptic cohomology from quantum field theory, preprint (2018) arXiv:1805.04146
9 A Dabholkar, P Putrov, E Witten, Duality and mock modularity, SciPost Phys. 9 (2020) 072 MR4216504
10 P Deligne, P Etingof, D S Freed, L C Jeffrey, D Kazhdan, J W Morgan, D R Morrison, E Witten, editors, Quantum fields and strings: a course for mathematicians, I, Amer. Math. Soc. (1999) MR1701618
11 P Deligne, D S Freed, Sign manifesto, from: "Quantum fields and strings: a course for mathematicians, I" (editors P Deligne, P Etingof, D S Freed, L C Jeffrey, D Kazhdan, J W Morgan, D R Morrison, E Witten), Amer. Math. Soc. (1999) 357 MR1701601
12 P Deligne, J W Morgan, Notes on supersymmetry (following Joseph Bernstein), from: "Quantum fields and strings: a course for mathematicians, I" (editors P Deligne, P Etingof, D S Freed, L C Jeffrey, D Kazhdan, J W Morgan, D R Morrison, E Witten), Amer. Math. Soc. (1999) 41 MR1701597
13 R Donagi, E Witten, Supermoduli space is not projected, from: "String-Math 2012" (editors R Donagi, S Katz, A Klemm, D R Morrison), Proc. Sympos. Pure Math. 90, Amer. Math. Soc. (2015) 19 MR3409787
14 F Dumitrescu, Superconnections and parallel transport, Pacific J. Math. 236 (2008) 307 MR2407109
15 D S Freed, Five lectures on supersymmetry, Amer. Math. Soc. (1999) MR1707282
16 D Gaiotto, T Johnson-Freyd, Mock modularity and a secondary elliptic genus, preprint (2019) arXiv:1904.05788
17 D Gaiotto, T Johnson-Freyd, E Witten, A note on some minimally supersymmetric models in two dimensions, from: "Integrability, quantization, and geometry, II : Quantum theories and algebraic geometry" (editors S Novikov, I Krichever, O Ogievetsky, S Shlosman), Proc. Sympos. Pure Math. 103, Amer. Math. Soc. (2021) 203 MR4285698
18 F Han, Supersymmetric QFT, super loop spaces and Bismut–Chern character, preprint (2008) arXiv:0711.3862v3
19 H Hohnhold, M Kreck, S Stolz, P Teichner, Differential forms and 0–dimensional supersymmetric field theories, Quantum Topol. 2 (2011) 1 MR2763085
20 H Hohnhold, S Stolz, P Teichner, From minimal geodesics to supersymmetric field theories, from: "A celebration of the mathematical legacy of Raoul Bott" (editor P R Kotiuga), CRM Proc. Lecture Notes 50, Amer. Math. Soc. (2010) 207 MR2648897
21 J Lurie, A survey of elliptic cohomology, from: "Algebraic topology" (editors N A Baas, E M Friedlander, B Jahren, P A Østvær), Abel Symp. 4, Springer (2009) 219 MR2597740
22 D Quillen, Superconnections and the Chern character, Topology 24 (1985) 89 MR790678
23 G Segal, Elliptic cohomology (after Landweber–Stong, Ochanine, Witten, and others), from: "Séminaire Bourbaki 1987/88", Astérisque 161–162, Soc. Math. France (1988) 187 MR992209
24 G Segal, The definition of conformal field theory, from: "Topology, geometry and quantum field theory" (editor U Tillmann), London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 421 MR2079383
25 S Stolz, P Teichner, What is an elliptic object?, from: "Topology, geometry and quantum field theory" (editor U Tillman), London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 247 MR2079378
26 S Stolz, P Teichner, Supersymmetric field theories and generalized cohomology, from: "Mathematical foundations of quantum field theory and perturbative string theory" (editors H Sati, U Schreiber), Proc. Sympos. Pure Math. 83, Amer. Math. Soc. (2011) 279 MR2742432
27 E Witten, Supersymmetry and Morse theory, J. Differential Geometry 17 (1982) 661 MR683171
28 E Witten, Elliptic genera and quantum field theory, Comm. Math. Phys. 109 (1987) 525 MR885560
29 E Witten, The index of the Dirac operator in loop space, from: "Elliptic curves and modular forms in algebraic topology" (editor P S Landweber), Lecture Notes in Math. 1326, Springer (1988) 161 MR970288
30 E Witten, Notes on super Riemann surfaces and their moduli, Pure Appl. Math. Q. 15 (2019) 57 MR3946083