Noncritical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="bold">osp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">|</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mspace width="0.25em" /><mml:mi mathvariant="script">M</mml:mi></mml:math>-theory matrix model with an arbitrary time-dependent cosmological constant

Park, Jeong-Hyuck

doi:10.1016/j.nuclphysb.2006.03.004

Cited by 3 publications

(19 citation statements)

References 73 publications

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“…In particular, the number of deformation parameters in N = 4 type I case is two, while in other cases it is one. For N = 1 + 1 case, the deformation parameters are given by two arbitrary time dependent functions, and accordingly there are infinite number of deformation parameters [3].…”

Section: Introductionmentioning

confidence: 99%

Massive super-Yang–Mills quantum mechanics: Classification and the relation to supermembrane

Kim

Park

2006

Nuclear Physics B

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We classify the supersymmetric mass deformations of all the super Yang-Mills quantum mechanics, which are obtained by dimensional reductions of minimal super Yang-Mills in spacetime dimensions: ten, six, four, three and two. The resulting actions can be viewed as the matrix descriptions of supermembranes in nontrivial backgrounds of one higher dimensional supergravity theories. We also discuss the utmost generalization of the light-cone formulation of the Nambu-Goto action for a p-brane, including time dependent backgrounds.

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Section: Introductionmentioning

confidence: 99%

Massive super-Yang–Mills quantum mechanics: Classification and the relation to supermembrane

Kim

Park

2006

Nuclear Physics B

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“…Moreover, matrix models with at most quadratic potential, even with arbitrary time dependent coefficients, possess an SO(1, 2) symmetry as Noether symmetry [25].…”

Section: Isometry Of the Background Geometry And Matrix Modelmentioning

confidence: 99%

“…Indeed, in [25] it was shown that matrix models with at most quadratic potential possess so(1, 2) symmetry, and further allow for osp(1|2, R) supersymmetric extension. In Appendix A, we review the SO(1, 2) symmetry and present the explicit form of the transformations.…”

Section: Isometry Of the Background Geometry And Matrix Modelmentioning

confidence: 99%

“…Namely D-branes fall much slower in the extremal black hole. The matrix model possesses conformal symmetry [25], (A.11),…”

Section: Ads 2 Space: Ads 2 /Cft 1 Correspondencementioning

confidence: 99%

“…To begin, we review the so(1, 2) structure behind a second order differential equation [25]. For a given arbitrary time dependent function, Λ(t), we consider the following second order differential equation,f (t) = f (t)Λ(t) .…”

Section: Conformal Field Theory Backgroundmentioning

confidence: 99%

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Matrix models for D-particle dynamics and the string/black hole transition

Erdmenger¹,

Park²,

Sochichiu³

2006

Class. Quantum Grav.

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For a generic two-dimensional 0A string background, we map the Dirac-Born-Infeld action to a matrix model. This is achieved using a canonical transformation. The action describes D0-branes in this background, while the matrix model has a potential which encodes all the information of the background geometry. We apply this formalism to specific backgrounds: For Rindler space, we obtain a matrix model with an upside-down quadratic potential, while for AdS 2 space, the potential is linear. Furthermore we analyze the black hole geometry with RR flux. In particular, we show that at the Hagedorn temperature, the resulting matrix model coincides with the one for the linear dilaton background. We interpret this result as a realization of the string/black hole transition.

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Superconformal Yang-Mills quantum mechanics and Calogero model with $$ {\text{OSp}}\left( {\mathcal{N}|{2},\mathbb{R}} \right) $$ symmetry

Copland¹,

Ko²,

Park³

2012

J. High Energ. Phys.

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In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N , 0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N + N , to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N |2, R). We comment on its connection to AdS 2 × S N −1 and reduction to a supersymmetric Calogero model.

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Noncritical osp(1|2,R)M-theory matrix model with an arbitrary time-dependent cosmological constant

Cited by 3 publications

References 73 publications

Massive super-Yang–Mills quantum mechanics: Classification and the relation to supermembrane

Massive super-Yang–Mills quantum mechanics: Classification and the relation to supermembrane

Matrix models for D-particle dynamics and the string/black hole transition

Superconformal Yang-Mills quantum mechanics and Calogero model with $$ {\text{OSp}}\left( {\mathcal{N}|{2},\mathbb{R}} \right) $$ symmetry

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