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Various super Yang-Mills theories with exact supersymmetry on the lattice

Fumihiko Sugino
(
- Okayama Inst. Quantum Phys.
)

Oct, 2004

29 pages

Published in:

JHEP 01 (2005) 016

e-Print:

hep-lat/0410035 [hep-lat]

DOI:

10.1088/1126-6708/2005/01/016

Report number:

OIQP-04-2

View in:

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Abstract:

We continue to construct lattice super Yang-Mills theories along the line discussed in the previous papers \cite{sugino, sugino2}. In our construction of

{\cal N}=2, 4

theories in four dimensions, the problem of degenerate vacua seen in \cite{sugino} is resolved by extending some fields and soaking up would-be zero-modes in the continuum limit, while in the weak coupling expansion some surplus modes appear both in bosonic and fermionic sectors reflecting the exact supersymmetry. A slight modification to the models is made such that all the surplus modes are eliminated in two- and three-dimensional models obtained by dimensional reduction thereof.

{\cal N}=4, 8

models in three dimensions need fine-tuning of three and one parameters respectively to obtain the desired continuum theories, while two-dimensional models with

{\cal N}=4, 8

do not require any fine-tuning.

LATTICE QUANTUM FIELD THEORY
LATTICE GAUGE FIELD THEORIES
EXTENDED SUPERSYMMETRY
TOPOLOGICAL FIELD THEORIES
gauge field theory: SU(N)
supersymmetry
lattice field theory
dimensional reduction
dimension: 2-4
vacuum state

References(41)

Figures(0)

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)

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)
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(
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(
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(
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(
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)

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Marisa Bonini
(
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)
,
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(
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)

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N=(1,1) superYang-Mills on a (2+1)-dimensional transverse lattice with one exact supersymmetry

Motomichi Harada
(
- Ohio State U.
)
,
Stephen Pinsky
(
- Ohio State U.
)

- Phys.Lett.B 567 (2003) 277-287
•
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•
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A Solution to the fermion doubling problem for supersymmetric theories on the transverse lattice

Motomichi Harada
(
- Ohio State U.
)
,
Stephen Pinsky
(
- Ohio State U.
)

- Phys.Rev.D 70 (2004) 087701
•
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•
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•
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•
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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
)

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•
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•
DOI:
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Supersymmetry on a Euclidean space-time lattice. 2. Target theories with eight supercharges

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

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•
e-Print:
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•
DOI:
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Supersymmetry on the noncommutative lattice

Jun Nishimura
(
- Nagoya U.
)
,
Soo-Jong Rey
(
- Seoul Natl. U. and
- Princeton, Inst. Advanced Study
)
,
Fumihiko Sugino
(
- Seoul Natl. U.
)

- JHEP 02 (2003) 032
•
e-Print:
- hep-lat/0301025
•
DOI:
- 10.1088/1126-6708/2003/02/032

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