Supersymmetry on a Euclidean space-time lattice. 1. A Target theory with four supercharges - INSPIRE

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Supersymmetry on a Euclidean space-time lattice. 1. A Target theory with four supercharges

Andrew G. Cohen
(
- Boston U.
)
,
David B. Kaplan
(
- Washington U., Seattle
)
,
Emanuel Katz
(
- Washington U., Seattle
)
,
Mithat Unsal
(
- Washington U., Seattle
)

Feb, 2003

21 pages

Published in:

JHEP 08 (2003) 024

e-Print:

hep-lat/0302017 [hep-lat]

DOI:

10.1088/1126-6708/2003/08/024

Report number:

INT-PUB-03-04,
UW-PT-03-04,
BUHEP-03-04

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Abstract:

We formulate a Euclidean spacetime lattice whose continuum limit is (2,2) supersymmetric Yang-Mills theory in two dimensions, a theory which possesses four supercharges and an anomalous global chiral symmetry. The lattice action respects one exact supersymmetry, which allows the target theory to emerge in the continuum limit without fine-tuning. Our method exploits an orbifold construction described previously for spatial lattices in Minkowski space, and can be generalized to more complicated theories with additional supersymmetry and more spacetime dimensions.

lattice field theory: Euclidean
supersymmetry
dimension: 2
gauge field theory: U(N)
lattice field theory: action
continuum limit
renormalization
moduli

References(42)

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