Spherical transverse M5-branes from the plane wave matrix model

Asano, Yasuhito; Ishiki, Goro; Shimasaki, Shinji; Terashima, Shiro

doi:10.1007/jhep02(2018)076

Cited by 11 publications

(12 citation statements)

References 32 publications

(111 reference statements)

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“…However, for µ ∼ 7.0 we find that there are two phase boundaries and a new phase appears characterised by the Myers cubic term 2 Related with the isometry part, the spherical shell distributions of S 2 and S 5 can be obtained in the BMN model in the limits where M2-and M5-branes are realised, respectively. The radii of these spheres completely agree with the M2 and M5 radii in the brane picture [15,16]. 3 A preliminary study of the BMN model concerning a phase transition was carried out in [17].…”

Section: Introductionsupporting

confidence: 60%

The non-perturbative phase diagram of the BMN matrix model

Asano

Filev

Kováčik

et al. 2018

J. High Energ. Phys.

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Abstract:We study the maximally supersymmetric plane wave matrix model (the BMN model) at finite temperature, T , and locate the high temperature phase boundary in the (µ, T ) plane, where µ is the mass parameter. We find the first transition, as the system is cooled from high temperatures, is from an approximately SO(9) symmetric phase to one where three matrices expand to form fuzzy spheres. For µ > 3.0 there is a second distinct transition at a lower temperature. The two transitions approach one another at smaller µ and merge in the vicinity of µ = 3.0. The resulting single transition curve then approaches the gauge/gravity prediction as µ is further decreased. We find a rough estimate of the transition, for all µ, is given by a Padé resummation of the large-µ, three-loop perturbative predictions. We find evidence that the transition at small µ is to an M5-brane phase of the theory.

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Section: Introductionsupporting

confidence: 60%

The non-perturbative phase diagram of the BMN matrix model

Asano

Filev

Kováčik

et al. 2018

J. High Energ. Phys.

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“…We consider that extracting classical geometry by using our observables is not straightforward for such generic sector. This is because the matrix models generically contain higher energy modes than the supergravity and generic configurations of matrices contain contributions from the high energy modes [40][41][42]. Including those high energy modes, the classical geometric description will not be valid.…”

Section: Summary and Discussionmentioning

confidence: 96%

“…Thus, we consider that in order to use our observables, it is first needed to find nice degrees of freedom which can probe the low energy physics. (In [41,42], such low energy description was found for a 1=4 BPS sector of the BMN matrix model.) It would be very interesting to find a numerical method of extracting proper low energy degrees of freedom.…”

Section: Summary and Discussionmentioning

confidence: 99%

Information metric, Berry connection, and Berezin-Toeplitz quantization for matrix geometry

2018

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We consider the information metric and Berry connection in the context of noncommutative matrix geometry. We propose that these objects give a new method of characterizing the fuzzy geometry of matrices. We first give formal definitions of these geometric objects and then explicitly calculate them for the well-known matrix configurations of fuzzy S 2 and fuzzy S 4. We find that the information metrics are given by the usual round metrics for both examples, while the Berry connections coincide with the configurations of the Wu-Yang monopole and the Yang monopole for fuzzy S 2 and fuzzy S 4 , respectively. Then, we demonstrate that the matrix configurations of fuzzy S n (n ¼ 2, 4) can be understood as images of the embedding functions S n → R nþ1 under the Berezin-Toeplitz quantization map. Based on this result, we also obtain a mapping rule for the Laplacian on fuzzy S 4 .

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“…Thus, we regard the SO(6) symmetric uplift of ρ(m) to six dimensions as the geometry realised by φ . The solution to the uplift is a spherical shell distribution [43,44,19,20]:…”

Section: Pos(corfu2019)202mentioning

confidence: 99%

“…Thus the equivalence between the supergravity equations and the saddle point equations in the matrix model implies that there should be a brane picture and that the saddle point equations would also describe the geometry of the branes. It is seen from the localisation calculation that some solutions on the matrix-model side realise the spherical geometry of 5-branes or 2-branes with zero light-cone energy in M-theory [19,20]. These two emergence phenomena of geometries 3 , seen from the supersymmetric localisation calculation, only tell how the geometries embed in the BMN matrix model.…”

Section: Introductionmentioning

confidence: 97%

Emergent Geometries from the BMN Matrix Model

Asano¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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We review recent results of emergent geometries in the BMN matrix model, a one-dimensional gauge theory considered as a non-perturbative formulation of M-theory on the plane-wave geometry. A key to understand the emergent geometries is the eigenvalue distribution of a BPS operator. Gauge-theory calculation shows that the BPS operator reproduces the corresponding supergravity solutions in the gauge/gravity duality and also brane geometries in the M-brane picture. At finite temperatures, these geometries should be realised in a non-trivial way. Monte Carlo simulations of this gauge theory revealed two types of phase transitions: the confinement/deconfinement transition and the Myers transition, which provide insights into the emergence of the geometries. Especially, the numerical results qualitatively agree with the critical temperature of the confinement/deconfinement transition predicted on the gravity side.

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Spherical transverse M5-branes from the plane wave matrix model

Cited by 11 publications

References 32 publications

The non-perturbative phase diagram of the BMN matrix model

The non-perturbative phase diagram of the BMN matrix model

Information metric, Berry connection, and Berezin-Toeplitz quantization for matrix geometry

Emergent Geometries from the BMN Matrix Model

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