Geometry of orbifolded supersymmetric lattice gauge theories

Damgaard, Poul H.; Matsuura, So

doi:10.1016/j.physletb.2008.01.044

Cited by 61 publications

(67 citation statements)

References 37 publications

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“…Both sets of problems can be evaded using a alternative twist based on the strictly nilpotent supercharge Q + iQ 12 introduced later [41,42]. As we will see the resultant lattice actions then reproduce precisely the corresponding orbifold actions [32], which we discuss in §7.2.…”

Section: Continuum Formulationmentioning

confidence: 78%

“…The common thread of both approaches is the exact preservation of (nilpotent) scalar supercharges on the lattice, which automatically dictates the distribution of the bosonic degrees of freedom in the lattice given the Dirac-Kähler construction. Indeed we will show that one can obtain the supersymmetric orbifold lattices by a direct discretization of an appropriately chosen twist of the target SYM theory [41,42].…”

Section: Introductionmentioning

confidence: 99%

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Exact lattice supersymmetry☆

Catterall¹,

Kaplan²,

Ünsal³

2008

Journal of End-to-End-testing

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We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at nonzero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and orbifold-deconstruction techniques and show their equivalence in the case of gauge theories. The presence of an exact supersymmetry reduces and in some cases eliminates the need for fine tuning to achieve a continuum limit invariant under the full supersymmetry of the target theory. We discuss open problems.

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Section: Continuum Formulationmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Exact lattice supersymmetry☆

Catterall¹,

Kaplan²,

Ünsal³

2008

Journal of End-to-End-testing

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“…[8,43,44]. The complexified gauge fields of the continuum theory, A m (x) are mapped to appropriate complexified Wilson links U m (n) defined at a location on the two-dimensional square lattice denoted by the integer vector n. These link fields are associated with unit length vectors in the coordinate directions ν m from the site n. The components of the fermion field ψ m (n) live on the same oriented links as that of their bosonic superpartners U m (n).…”

Section: Lattice Theoriesmentioning

confidence: 99%

Two-dimensional N $$ \mathcal{N} $$ = (2, 2) lattice gauge theories with matter in higher representations

Joseph

2014

J. High Energ. Phys.

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We construct two-dimensional N = (2, 2) supersymmetric gauge theories on a Euclidean spacetime lattice with matter in the two-index symmetric and anti-symmetric representations of SU(N c ) color group. These lattice theories preserve a subset of the supercharges exact at finite lattice spacing. The method of topological twisting is used to construct such theories in the continuum and then the geometric discretization scheme is used to formulate them on the lattice. The lattice theories obtained this way are gaugeinvariant, free from fermion doubling problem and exact supersymmetric at finite lattice spacing. We hope that these lattice constructions further motivate the nonperturbative explorations of models inspired by technicolor, orbifolding and orientifolding in string theories and the Corrigan-Ramond limit.

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“…We hope to find the clue for a new field theory formulation by understanding the fundamental difficulties to realize exact lattice SUSY. A part of the exact lattice SUSY of extended algebra was realized and extensively investigated [2,3]. The link approach of super Yang-Mills theory was also proposed [4].…”

Section: Introductionmentioning

confidence: 99%

Summary of Super Doubler Approach on Exact Lattice Supersymmetry

D’Adda¹,

Kawamoto²,

Saito³

2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We have proposed a lattice SUSY formulation which we may call super doubler approach, where chiral fermion species doublers and their bosonic counter parts are either identified as super partners or truncated by chiral conditions. We claim that the super symmetry is exactly kept on the lattice. However the formulation is nonlocal and breaks lattice translational invariance. We argue that these features cause no fundamental difficulties in the continuum limit. Although a naive version of this formulation breaks associativity of the product of fields we have found a modified super doubler approach that recovers the associativity and is applicable to super Yang-Mills theory. It turns out that this formulation is essentially equivalent to the continuum formulation and thus keeps all the symmetry exact even at a finite lattice constant. Inspired by this formulation we propose a non-local lattice field theory formulation which is free of chiral fermion problem and has the same exact lattice symmetry as continuum theory.

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Geometry of orbifolded supersymmetric lattice gauge theories

Cited by 61 publications

References 37 publications

Exact lattice supersymmetry☆

Exact lattice supersymmetry☆

Two-dimensional N $$ \mathcal{N} $$ = (2, 2) lattice gauge theories with matter in higher representations

Summary of Super Doubler Approach on Exact Lattice Supersymmetry

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