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14
Supersymmetric deformations of type iib matrix model as matrix regularization of n = 4 sym
"... Abstract: We construct a Q = 1 supersymmetry and U(1) 5 global symmetry preserving deformation of the type IIB matrix model. This model, without orbifold projection, serves as a nonperturbative regularization for N = 4 supersymmetric YangMills theory in four Euclidean dimensions. Upon deformation, ..."
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Cited by 14 (4 self)
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Abstract: We construct a Q = 1 supersymmetry and U(1) 5 global symmetry preserving deformation of the type IIB matrix model. This model, without orbifold projection, serves as a nonperturbative regularization for N = 4 supersymmetric YangMills theory in four Euclidean dimensions. Upon deformation, the eigenvalues of the bosonic matrices are forced to reside on the surface of a hypertorus. We explicitly show the relation between the noncommutative moduli space of the deformed matrix theory and the Brillouin zone of the emergent lattice theory. This observation makes the transmutation of the moduli space into the base space of target field theory clearer. The lattice theory is slightly nonlocal, however the nonlocality is suppressed by the lattice spacing. In the classical continuum limit, we recover the N = 4 SYM theory. We also discuss the result in terms of Dbranes and interpret it as collective excitations of D(1) branes forming D3 branes.
Regularization of noncommutative sym by orbifolds with discrete torsion and sl(2,z) duality
"... Abstract: We construct a nonperturbative regularization for Euclidean noncommutative supersymmetric YangMills theories with four (N = (2,2)) , eight (N = (4,4)) and sixteen (N = (8,8)) supercharges in two dimensions. The construction relies on orbifolds with discrete torsion, which allows noncommut ..."
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Cited by 9 (5 self)
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Abstract: We construct a nonperturbative regularization for Euclidean noncommutative supersymmetric YangMills theories with four (N = (2,2)) , eight (N = (4,4)) and sixteen (N = (8,8)) supercharges in two dimensions. The construction relies on orbifolds with discrete torsion, which allows noncommuting space dimensions to be generated dynamically from zero dimensional matrix model in the deconstruction limit. We also nonperturbatively prove that the twisted topological sectors of ordinary supersymmetric YangMills theory are equivalent to a noncommutative field theory on the topologically trivial sector with reduced rank and quantized noncommutativity parameter. The key point of the proof is to reinterpret ’t Hooft’s twisted boundary condition as an orbifold with discrete torsion by lifting the lattice theory to a zero dimensional matrix theory.
Instantons, fluxons and open gauge string theory
, 2004
"... Preprint typeset in JHEP style HYPER VERSION ..."
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Graduate University for Advanced Studies (SOKENDAI),
, 907
"... Dominance of a single topological sector in gauge theory on noncommutative geometry ..."
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Dominance of a single topological sector in gauge theory on noncommutative geometry
Gauge Theory on Fuzzy S2 × S2 and
, 2005
"... We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multimatrix model, which reduces to ordinary YangMills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in deta ..."
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We define U(n) gauge theory on fuzzy S 2 N × S2 N as a multimatrix model, which reduces to ordinary YangMills theory on S 2 ×S 2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative R 4 θ in a particular scaling limit, which is studied in detail. We also find topologically nontrivial U(1) solutions, which reduce to the known “fluxon ” solutions in the limit, reproducing their full moduli space. Other solutions which can be interpreted of R4 θ as 2dimensional branes are also found. The quantization of the model is defined nonperturbatively in terms of a path integral which is finite. A gaugefixed BRSTinvariant action is given as well. Fermions in the fundamental representation of the gauge group are included using a formulation based on SO(6), by defining a fuzzy Dirac operator which reduces to the standard Dirac operator on S2 × S2 in the
Morita Duality and Noncommutative Wilson Loops in Two Dimensions
, 2005
"... hepth/0506016 ..."
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Graduate University for Advanced Studies (SOKENDAI),
, 2007
"... The index of the overlap Dirac operator on a discretized 2d noncommutative torus Hajime Aoki a, Jun Nishimura bc and Yoshiaki Susaki bd ..."
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The index of the overlap Dirac operator on a discretized 2d noncommutative torus Hajime Aoki a, Jun Nishimura bc and Yoshiaki Susaki bd
Graduate University for Advanced Studies (SOKENDAI),
, 2006
"... The index theorem in gauge theory on a discretized 2d noncommutative torus ..."
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The index theorem in gauge theory on a discretized 2d noncommutative torus
Graduate University for Advanced Studies (SOKENDAI),
, 2006
"... The index theorem in gauge theory on a discretized 2d noncommutative torus ..."
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The index theorem in gauge theory on a discretized 2d noncommutative torus
Preprint typeset in JHEP style HYPER VERSION
, 2006
"... A nonperturbative study of 4d U(1) noncommutative gauge theory — the fate of oneloop instability ..."
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A nonperturbative study of 4d U(1) noncommutative gauge theory — the fate of oneloop instability