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Supersphere non-linear sigma model on the lattice

Costa, Ilaria; Forini, Valentina; Hoare, Ben; Meier, Tim; Patella, Agostino; Weber, Johannes Heinrich

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Ilaria Costa

Valentina Forini

Tim Meier

Agostino Patella

Johannes Heinrich Weber


Two-dimensional O(N) non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the supersphere~SN+2m−1|2m≡OSP(N+2m|2m)OSP(N+2m−1|2m) . We briefly describe its renormalization properties and lattice discretization, and present a strategy for numerical simulations together with some preliminary numerical results.


Costa, I., Forini, V., Hoare, B., Meier, T., Patella, A., & Weber, J. H. (2023). Supersphere non-linear sigma model on the lattice. .

Conference Name The 39th International Symposium on Lattice Field Theory
Conference Location Bonn, Germany
Start Date Aug 8, 2022
End Date Aug 13, 2022
Online Publication Date Apr 6, 2023
Publication Date 2023
Deposit Date May 16, 2023
Publicly Available Date May 17, 2023
Publisher Sissa Medialab
Volume 430
Series Number Theoretical Developments
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