Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution

Kato, Junji; Kondo, Yoshi; Miyake, Akiko

doi:10.1007/jhep09(2011)019

Cited by 6 publications

(3 citation statements)

References 38 publications

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“…By expanding the theory about fuzzy sphere background, it is possible to obtain (3 + 1)-dimensional theory. Lattice regularization of such (1 + 1)-dimensional theory can be obtained [99][100][101] by modifying the theories explained in Sec. 3.1.1.…”

Section: Matrix Model Methods (1): Noncommutative Spacementioning

confidence: 99%

What lattice theorists can do for superstring/M-theory

Hanada

2016

Int. J. Mod. Phys. A

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The gauge/gravity duality provides us with nonperturbative formulation of superstring/M-theory. Although inputs from gauge theory side are crucial for answering many deep questions associated with quantum gravitational aspects of superstring/Mtheory, many of the important problems have evaded analytic approaches. For them, lattice gauge theory is the only hope at this moment. In this review I give a list of such problems, putting emphasis on problems within reach in a five-year span, including both Euclidean and real-time simulations.

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Section: Matrix Model Methods (1): Noncommutative Spacementioning

confidence: 99%

What lattice theorists can do for superstring/M-theory

Hanada

2016

Int. J. Mod. Phys. A

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“…[46] by Hanada et al, and they were extended to various cases by Kato et al in Ref. [44]. It would be interesting to find the structure of the mass deformed supersymmetry algebra shown above.…”

Section: Introductionmentioning

confidence: 94%

“…A mass deformed version of Vafa-Witten twisted theory was constructed in Ref. [44] but this does not correspond to the N = 2 * SYM theory.…”

Section: Vafa-witten Twist Of N = 4 Symmentioning

confidence: 99%

Lattice formulation of N=2* Yang-Mills

Joseph

2018

Phys. Rev. D

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We formulate N ¼ 2 Ã supersymmetric Yang-Mills theory on a Euclidean spacetime lattice using the method of topological twisting. The lattice formulation preserves one scalar supersymmetry charge at finite lattice spacing. The lattice theory is also local, gauge invariant and free from doublers. We can use the lattice formulation of N ¼ 2 Ã supersymmetric Yang-Mills to study finite temperature nonperturbative sectors of the theory and thus validate the gauge-gravity duality conjecture in a nonconformal theory.

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An anisotropic hybrid non-perturbative formulation for 4D $ \mathcal{N} = {2} $ supersymmetric Yang-Mills theories

Takimi

2012

J. High Energ. Phys.

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We provide a simple non-perturbative formulation for non-commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. The formulation is constructed by a combination of deconstruction (orbifold projection), momentum cut-off and matrix model techniques. We also propose a moduli fixing term that preserves lattice supersymmetry on the deconstruction formulation. Although the analogous formulation for four-dimensional N = 2 supersymmetric Yang-Mills theories is proposed also in [1], our action is simpler and better suited for computer simulations. Moreover, not only for the non-commutative theories, our formulation has a potential to be a non-perturbative tool also for the commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. * takimi@theory.tifr.res.in

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Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution

Cited by 6 publications

References 38 publications

What lattice theorists can do for superstring/M-theory

What lattice theorists can do for superstring/M-theory

Lattice formulation of N=2* Yang-Mills

An anisotropic hybrid non-perturbative formulation for 4D $ \mathcal{N} = {2} $ supersymmetric Yang-Mills theories

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