Lattice Supersymmetry from the Ground Up

Fendley, Paul; Schoutens, Kareljan

doi:10.1007/978-90-481-2810-5_19

Paul Fendley² &
Kareljan Schoutens³

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Abstract

This talk summarizes a series of papers defining and analyzing lattice models with supersymmetry. These models describe strongly-interacting spinless fermions hopping on any lattice or graph. Computing the Witten index and the cohomology of the supersymmetry generator Q allows us to understand a great deal about the ground state. In all one-dimensional and some two-dimensional cases this allows the number and density of the ground states to be found exactly. In two dimensions and up, the ground-state entropy is extensive for generic lattices.

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Authors and Affiliations

Department of Physics, University of Virginia, Charlottesville, VA, 22904-4714, USA
Paul Fendley
Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018, XE, Amsterdam, The Netherlands
Kareljan Schoutens

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Paul Fendley
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Kareljan Schoutens
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Correspondence to Paul Fendley .

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Editors and Affiliations

Instituto de Matemática Pura e Aplicada (IMPA), Estrada Dona Castorina 110, Rio de Janeiro, RJ, Brazil
Vladas Sidoravičius

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Fendley, P., Schoutens, K. (2009). Lattice Supersymmetry from the Ground Up. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_19

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DOI: https://doi.org/10.1007/978-90-481-2810-5_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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