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

Nakwoo Kim; Jeong Hyuck Park

doi:10.1016/j.nuclphysb.2006.10.005

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

Nakwoo Kim
, Jeong Hyuck Park

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	249-282
Number of pages	34
Journal	Nuclear Physics B
Volume	759
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2006.10.005
Publication status	Published - 18 Dec 2006

Bibliographical note

Funding Information:
Jeong-Hyuck Park wishes to thank Leonard Susskind, Sergei Kuzenko for helpful comments and Korea Institute for Advanced Study for the hospitality during a workshop on string theory, 12–16 June. Nakwoo Kim is grateful to Institut des Hautes Études Scientifiques for the hospitality during a visit in summer 2005, where this work was initiated. The research of Nakwoo Kim is supported by the Science Research Center Program of the Korea Science and Engineering Foundation (KOSEF) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021, and by the Basic Research Program of KOSEF with grant No. R01-2004-000-10651-0. The research of Jeong-Hyuck Park is supported by the Alexander von Humboldt foundation.

Access to Document

10.1016/j.nuclphysb.2006.10.005

Cite this

@article{351954a9b87a49318c928587adb68408,

title = "Massive super-Yang-Mills quantum mechanics: Classification and the relation to supermembrane",

abstract = "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.",

author = "Nakwoo Kim and Park, \{Jeong Hyuck\}",

note = "Funding Information: Jeong-Hyuck Park wishes to thank Leonard Susskind, Sergei Kuzenko for helpful comments and Korea Institute for Advanced Study for the hospitality during a workshop on string theory, 12–16 June. Nakwoo Kim is grateful to Institut des Hautes {\'E}tudes Scientifiques for the hospitality during a visit in summer 2005, where this work was initiated. The research of Nakwoo Kim is supported by the Science Research Center Program of the Korea Science and Engineering Foundation (KOSEF) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021, and by the Basic Research Program of KOSEF with grant No. R01-2004-000-10651-0. The research of Jeong-Hyuck Park is supported by the Alexander von Humboldt foundation. ",

year = "2006",

month = dec,

day = "18",

doi = "10.1016/j.nuclphysb.2006.10.005",

language = "English",

volume = "759",

pages = "249--282",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Massive super-Yang-Mills quantum mechanics

T2 - Classification and the relation to supermembrane

AU - Kim, Nakwoo

AU - Park, Jeong Hyuck

N1 - Funding Information: Jeong-Hyuck Park wishes to thank Leonard Susskind, Sergei Kuzenko for helpful comments and Korea Institute for Advanced Study for the hospitality during a workshop on string theory, 12–16 June. Nakwoo Kim is grateful to Institut des Hautes Études Scientifiques for the hospitality during a visit in summer 2005, where this work was initiated. The research of Nakwoo Kim is supported by the Science Research Center Program of the Korea Science and Engineering Foundation (KOSEF) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number R11-2005-021, and by the Basic Research Program of KOSEF with grant No. R01-2004-000-10651-0. The research of Jeong-Hyuck Park is supported by the Alexander von Humboldt foundation.

PY - 2006/12/18

Y1 - 2006/12/18

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/33750933838

U2 - 10.1016/j.nuclphysb.2006.10.005

DO - 10.1016/j.nuclphysb.2006.10.005

M3 - Article

AN - SCOPUS:33750933838

SN - 0550-3213

VL - 759

SP - 249

EP - 282

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this