Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Lattice Non-Linear Sigma Model on the Supersphere

Aug 8, 2022, 4:30 PM
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

CP1-HSZ/1st-1.001 - HS5


Oral Presentation Theoretical Developments and Applications beyond Particle Physics Theoretical Developments


Ilaria Costa


The 2D O(N) non-linear sigma models are exactly solvable theories and, on the lattice, they have many applications from statistical mechanics to QCD toy models. In this talk, I will consider a particular generalization of the O(N) model, i.e. the non-linear sigma model on the supersphere. The global symmetry group of this model – the OSp(N+2M|2M) supergroup – mixes bosonic and fermionic degrees of freedom, hence the sigma model can be thought of as a toy model for string worldsheet theories with target space supersymmetry. In this talk, I will describe the non-linear sigma model on the supersphere, its discretization on the lattice, its renormalization properties, and the relation between this model and its non-supersymmetric equivalent. I will also present our strategy for numerical simulations and some preliminary numerical results.

Primary author

Ilaria Costa


Agostino Patella (Humboldt University Berlin) Johannes Heinrich Weber (Humboldt-Universität zu Berlin) Dr Valentina Forini (City University of London) Dr Ben Hoare (Durham University)

Presentation materials