Nonlinear Dynamics of a Dipolariton Optical Parametric Oscillator

Vasilieva, O. F.; Zingan, A. P.; Vasiliev, V. V.

doi:10.1134/s0021364020090118

Cited by 1 publication

(2 citation statements)

References 34 publications

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“…(3.1) implies deformed oscillator commutation relations in the form of [100] [q α , q β ] = −2iǫ αβ (1 + νκ) ,…”

Section: Single Oscillatormentioning

confidence: 99%

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From Coxeter higher-spin theories to strings and tensor models

Vasiliev

2018

J. High Energ. Phys.

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A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the B p -models. The cases of B 1 and its infinite graded-symmetric product sym (×B 1 ) ∞ correspond to the usual higher-spin theory and its multi-particle extension, respectively. The multi-particle B 2 -higher-spin theory is conjectured to be associated with String Theory. B p -higher-spin models with p > 2 are anticipated to be dual to the rank-p boundary tensor sigma-models. B p higherspin models with p ≥ 2 possess two coupling constants responsible for higher-spin interactions in AdS background and stringy/tensor effects, respectively. The branelike idempotent extension of the Coxeter higher-spin theory is proposed allowing to unify in the same model the fields supported by space-times of different dimensions. Consistency of the holographic interpretation of the boundary matrix-like model in the B 2 -higher-spin model is shown to demand N ≥ 4 SUSY, suggesting duality with the N = 4 SYM upon spontaneous breaking of higher-spin symmetries. The proposed models are shown to admit unitary truncations.

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“…(3.1) implies deformed oscillator commutation relations in the form of [100] [q α , q β ] = −2iǫ αβ (1 + νκ) ,…”

Section: Single Oscillatormentioning

confidence: 99%

“…where ν is central. The enveloping algebra Aq(ν) of these relations, which is the algebra of polynomials f (q, κ) with ν being a parameter, has the fundamental property [100] that…”

Section: Single Oscillatormentioning

confidence: 99%

From Coxeter higher-spin theories to strings and tensor models

Vasiliev

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Nonlinear Dynamics of a Dipolariton Optical Parametric Oscillator

Cited by 1 publication

References 34 publications

From Coxeter higher-spin theories to strings and tensor models

From Coxeter higher-spin theories to strings and tensor models

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