Main Results
the interpretation of the symmetries of the two-dimensional non-linear supersymmetric sigma model in terms of the geometry of super Riemann surfaces and their infinitesimal deformations, [6,11]
definition of super J-holomorphic curves, the construction of their moduli space as well as its compactification in genus zero, [1,2,5]
construction of an operadic structure on the moduli spaces of stable SUSY curves, [3]
regularity and symmetries of Dirac-harmonic maps with gravitinos, [4,8,9]
Publications
[1]
E. Keßler, A. Sheshmani, and S.-T. Yau, Torus Actions on Moduli Spaces of Super Stable Maps of Genus Zero, (2023).
[2]
E. Keßler, A. Sheshmani, and S.-T. Yau, Super J-Holomorphic Curves: Construction of the Moduli Space, Math. Ann. 383, 1391 (2022).
[3]
E. Keßler, Y. I. Manin, and Y. Wu, Moduli Spaces of SUSY Curves and Their Operads, (2022).
[4]
J. Jost, E. Keßler, R. Wu, and M. Zhu, Geometry and Analysis of the Yang-Mills-Higgs-Dirac Model, J. Geom. Phys. 182, 104669 (2022).
[5]
E. Keßler, A. Sheshmani, and S.-T. Yau, Super Quantum Cohomology i: Super Stable Maps of Genus Zero with Neveu-Schwarz Punctures, (2020).
[6]
E. Keßler, Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional (Springer, Berlin, 2019).
[7]
J. Jost, E. Keßler, J. Tolksdorf, R. Wu, and M. Zhu, From Harmonic Maps to the Nonlinear Supersymmetric Sigma Model of Quantum Field Theory: At the Interface of Theoretical Physics, Riemannian Geometry and Nonlinear Analysis, Vietnam J. Math. 47, 39 (2019).
[8]
J. Jost, E. Keßler, J. Tolksdorf, R. Wu, and M. Zhu, Symmetries and Conservation Laws of a Nonlinear Sigma Model with Gravitino, J. Geom. Phys. 128, 185 (2018).
[9]
J. Jost, E. Keßler, J. Tolksdorf, R. Wu, and M. Zhu, Regularity of Solutions of the Nonlinear Sigma Model with Gravitino, Comm. Math. Phys. 358, 171 (2018).
[10]
E. Keßler, The Super Conformal Action Functional on Super Riemann Surfaces, PhD thesis, Universität Leipzig, 2017.
[11]
J. Jost, E. Keßler, and J. Tolksdorf, Super Riemann Surfaces, Metrics and Gravitinos, Adv. Theor. Math. Phys. 21, 1161 (2017).
[12]
E. Keßler and J. Tolksdorf, The Functional of Super Riemann Surfaces – a “Semi-Classical” Survey, Vietnam J. Math. 44, 215 (2016).
[13]
E. Keßler, Super Riemann Surfaces and the Super Conformal Action Functional, in Quantum Mathematical Physics: A Bridge Between Mathematics and Physics, edited by F. Finster, J. Kleiner, C. Röken, and J. Tolksdorf (Birkhäuser, Basel, 2016), pp. 401–419.