Compact gauge fields for supersymmetric lattices

Ünsal, Mithat

doi:10.1088/1126-6708/2005/11/013

Cited by 31 publications

(6 citation statements)

References 30 publications

(74 reference statements)

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“…Substituting these into, for example, F µν F µν produce a complexified Wilson action. This parametrization differs from the ones used in [8,37]. However, 7 Recall that the usual Wilson action may also be written as S = n Tr |Uµ,nUν,n+e µ − Uν,nUµ,n+e ν | 2 where the quantity in modulus is the field strength and is indeed the square root of a plaquette.…”

Section: Hypercubic Latticementioning

confidence: 99%

Twisted supersymmetric gauge theories and orbifold lattices

Ünsal

2006

J. High Energy Phys.

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We examine the relation between twisted versions of the extended supersymmetric gauge theories and supersymmetric orbifold lattices. In particular, for the N = 4 SYM in d = 4, we show that the continuum limit of orbifold lattice reproduces the twist introduced by Marcus, and the examples at lower dimensions are usually Blau-Thompson type. The orbifold lattice point group symmetry is a subgroup of the twisted Lorentz group, and the exact supersymmetry of the lattice is indeed the nilpotent scalar supersymmetry of the twisted versions. We also introduce twisting in terms of spin groups of finite point subgroups of R-symmetry and spacetime symmetry.

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Section: Hypercubic Latticementioning

confidence: 99%

Twisted supersymmetric gauge theories and orbifold lattices

Ünsal

2006

J. High Energy Phys.

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“…• 1 k is not. 6 The following parametrization [30] gives us a convenient way to obtain the continuum theory in a gauge-invariant manner:…”

Section: Jhep09(2021)034mentioning

confidence: 99%

Quantum simulation of gauge theory via orbifold lattice

Buser

Gharibyan

Hanada

et al. 2021

J. High Energ. Phys.

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We propose a new framework for simulating U(k) Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.

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“…However, we want to study the twodimensional theory on a square lattice. In [23,24], it was argued that one can get different lattice geometries by the choice of the expansion point for the fields in the moduli space (the trajectory one follows to the infinity) . We add an additional term, S A * 2 →hyp.…”

Section: Lattice Actionmentioning

confidence: 99%

“…On the left, by modifying the third link and requiring that it is expanded around zero, we get square lattice. See [23,24] for details. We are carrying out the numerical simulations using 3.6 on the parallel software SUSY LATTICE developed in [25] and will report the results in the future.…”

Section: Pos(lattice2018)308mentioning

confidence: 99%

The properties of D1-branes from lattice super Yang--Mills theory using gauge/gravity duality

Jha¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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The two-dimensional supersymmetric Yang-Mills (SYM) theory with sixteen supercharges at large N and strong 't Hooft coupling is conjectured to be dual to certain supergravity solutions in the decoupling limit. We discretize the gauge theory preserving a subset of supersymmetries on the lattice. Based on the choice of a point in the moduli space for the expansion of the gauge links to target the correct continuum theory, one ends up with different lattice geometries. In our previous work, we explored the free energy and the phase structure on a skewed torus corresponding to A * 2 lattice geometry. Here, we will consider square lattice and calculate the free energy, equation of state and speed of sound in this strongly coupled supersymmetric plasma. Since there is no shear viscosity in two dimensions, we comment on the expectations for the bulk viscosity from the calculations on the dual supergravity side, which unlike the conformal N = 4 SYM case does not vanish and is proportional to the trace of energy-momentum tensor.

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Compact gauge fields for supersymmetric lattices

Cited by 31 publications

References 30 publications

Twisted supersymmetric gauge theories and orbifold lattices

Twisted supersymmetric gauge theories and orbifold lattices

Quantum simulation of gauge theory via orbifold lattice

The properties of D1-branes from lattice super Yang--Mills theory using gauge/gravity duality

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