Correlators of matrix models on homogeneous spaces

Kitazawa, Yoshihisa; Takayama, Yastoshi; Tomino, Dan

doi:10.1016/j.nuclphysb.2004.08.029

Cited by 13 publications

(29 citation statements)

References 32 publications

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“…[35] in the present model, we find that the bosonic contribution and the fermionic contribution cancel each other even at finite N . We also find that Ã 4 = 0 to all orders in perturbation theory due to parity invariance A 4 → −A 4 .…”

Section: C1 Propagators and The Tadpolesupporting

confidence: 47%

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Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

Anagnostopoulos

Azuma

Nagao

et al. 2005

J. High Energy Phys.

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We study a 4d supersymmetric matrix model with a cubic term, which incorporates fuzzy spheres as classical solutions, using Monte Carlo simulations and perturbative calculations. The fuzzy sphere in the supersymmetric model turns out to be always stable if the large-N limit is taken in such a way that various correlation functions scale. This is in striking contrast to analogous bosonic models, where the fuzzy sphere decays into the pure Yang-Mills vacuum due to quantum effects when the coefficient of the cubic term becomes smaller than a critical value. We also find that the power-law tail of the eigenvalue distribution, which exists in the supersymmetric model without the cubic term, disappears in the presence of the fuzzy sphere in the large-N limit. Coincident fuzzy spheres turn out to be unstable, which implies that the dynamically generated gauge group is U(1).

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Section: C1 Propagators and The Tadpolesupporting

confidence: 47%

“…[27][28][29][30][31][32][33][34][35][36][37][38][39]. This provides a matrix description of the so-called Myers effect in string theory [40].…”

Section: Introductionmentioning

confidence: 99%

Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

Anagnostopoulos

Azuma

Nagao

et al. 2005

J. High Energy Phys.

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“…Quantum corrections in gauge theories on these spaces are investigated in [24,25,26,27,28]. The symmetric trace of the operators on a compact space is defined as…”

Section: Wilson Line Correlators In Noncommutative Gauge Theorymentioning

confidence: 99%

Graviton propagators in supergravity and noncommutative gauge theory

Kitazawa

Nagaoka

2007

Phys. Rev. D

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We investigate the graviton propagator in the type IIB supergravity background which is dual to 4 dimensional noncommutative gauge theory. We assume that the boundary is located not at the infinity but at the noncommutative scale where the string frame metric exhibits the maximum. We argue that the Neumann boundary condition is the appropriate boundary condition to be adopted at the boundary. We find that the graviton propagator behaves just as that of the 4 dimensional massless graviton. On the other hand, the non-analytic behaviors of the other Kaluza-Klein modes are not significantly affected by the Neumann boundary condition.

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“…We list the studies for those based on low dimensional gauge theories: i) dynamical generation of space-times in IIB matrix model [18,19,20], ii) critical phenomena in strongly coupled 1D large-N gauge theories using Gaussian expansion method [21,22], iii) stabilities of fuzzy spaces in IIB matrix model [23,24,25,26,27,28,29], iv) phase structures of low dimensional gauge theories [16,30,31,32,33,34,35,36], v) correspondence between superstring theory and IIB matrix model [37,38,39], vi) phase structures of low dimensional gauge theories by 1/D expansion; [1,40,41], vii) descriptions of black holes in real-time using BFSS matrix model [42,43,44,45], viii) linear responses in D0-branes [46], ix) covariant matrix theory for D-particles [47].…”

Section: Introductionmentioning

confidence: 99%

D-dependence of the gap between the critical temperatures in the one-dimensional gauge theories

Takeuchi

2019

Eur. Phys. J. C

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We investigate the dimensional dependence (D-dependence) of the difference (gap) between the critical temperatures associated with the uniform/non-uniform and non-uniform/gapped transitions in the large-N bosonic gauge theories with D matrix scalar fields on a S 1 -circled space. We use the equations describing these critical temperatures given in the 1/D expansion [1]. These transitions are related with Gregory-Laflamme instabilities in the gravities and Rayleigh-Plateau instabilities in the fluid dynamics, and qualitative similarities between these are expected. We find that the tendency in the D-dependence of the gap is opposite from those in the gravity and fluid side. This is interesting as a counterexample to the gauge/gravity and gauge/fluid correspondences. * shingo.portable(at)gmail.com 1). in [1], the second-order transition occurs first, then the third-order transition occurs next as of D = 9, 2). in [17], the third-order transition occurs first, then the second-order transition occurs next, at D = 9,3). in [49], only the first-order transition occurs until D = 20, then the transition switches to the situation in [1] at some large D.One thing we can say is that the conclusion in [17] is wrong. At present we cannot conclude whether [1] or [49] is right. For this purpose, we need to confirm the existence † The study to have formulated the 1/D expansion first is [48] in the IIB matrix model [18], and we can regard the work of [1] as its extension to a S 1 -circled space.

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Correlators of matrix models on homogeneous spaces

Cited by 13 publications

References 32 publications

Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

Graviton propagators in supergravity and noncommutative gauge theory

D-dependence of the gap between the critical temperatures in the one-dimensional gauge theories

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