TY - JOUR
T1 - First results from simulations of supersymmetric lattices
AU - Catterall, Simon
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of [1]-[3]. We consider the = 4 theory in D = 0,2 dimensions and the = 16 theory in D = 0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of N = 4 super Yang-Mills may be achievable in the near future.
AB - We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of [1]-[3]. We consider the = 4 theory in D = 0,2 dimensions and the = 16 theory in D = 0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of N = 4 super Yang-Mills may be achievable in the near future.
KW - Extended supersymmetry
KW - Lattice gauge field theories
KW - Supersymmetric gauge theory
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U2 - 10.1088/1126-6708/2009/01/040
DO - 10.1088/1126-6708/2009/01/040
M3 - Article
AN - SCOPUS:63649102579
VL - 2009
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 1
M1 - 040
ER -