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Author |
de Azcarraga, J.A.; Gutiez, D.; Izquierdo, J.M. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
Extended D=3 Bargmann supergravity from a Lie algebra expansion |
Type |
Journal Article |
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Year |
2019 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
946 |
Issue |
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Pages |
114706 - 14pp |
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Abstract ![sorted by Abstract field, ascending order (up)](img/sort_asc.gif) |
In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D = 3, N = 2 superPoincare and its corresponding Chern-Simons supergravity. (C) 2019 The Author(s). Published by Elsevier B.V. |
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Address |
[de Azcarraga, J. A.] CSIC UVEG, Dept Fis Teor, Valencia 46100, Spain, Email: azcarrag@ific.uv.es; |
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Publisher |
Elsevier |
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English |
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ISSN |
0550-3213 |
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Notes |
WOS:000487935600012 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
4156 |
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Permanent link to this record |
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Author |
Camarero, D.; de Azcarraga, J.A.; Izquierdo, J.M. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
Bosonic D=11 supergravity from a generalized Chern-Simons action |
Type |
Journal Article |
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Year |
2017 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
923 |
Issue |
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Pages |
633-652 |
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Abstract ![sorted by Abstract field, ascending order (up)](img/sort_asc.gif) |
It is shown that the action of the bosonic sector of D= 11supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form CS-potential of the most general linear combination of closed, gauge invariant twelve-forms involving the sp(32)-valued two-form curvatures supplemented by a three-form field. In this construction, the role of the skewsymmetric four-index auxiliary function needed for the first order formulation of D= 11supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32). |
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Address |
[Camarero, D.; Izquierdo, J. M.] Univ Valladolid, Dept Fis Teor, E-47011 Valladolid, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Publisher |
Elsevier Science Bv |
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English |
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ISSN |
0550-3213 |
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Conference |
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Notes |
WOS:000413405200028 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
3333 |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M.; Lukierski, J.; Woronowicz, M. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
Generalizations of Maxwell (super)algebras by the expansion method |
Type |
Journal Article |
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Year |
2013 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
869 |
Issue |
2 |
Pages |
303-314 |
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Abstract ![sorted by Abstract field, ascending order (up)](img/sort_asc.gif) |
The Lie algebras expansion method is used to show that the four-dimensional spacetime Maxwell (super)algebras and some of their generalizations can be derived in a simple way as particular expansions of o(3,2) and osp(N vertical bar 4). |
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Address |
[de Azcarraga, J. A.] Univ Valencia, Dept Phys Theor, E-46100 Burjassot, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Publisher |
Elsevier Science Bv |
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English |
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ISSN |
0550-3213 |
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Conference |
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Notes |
WOS:000314562600007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1324 |
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Permanent link to this record |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
n-ary algebras: a review with applications |
Type |
Journal Article |
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Year |
2010 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
43 |
Issue |
29 |
Pages |
293001 - 117pp |
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Abstract ![sorted by Abstract field, ascending order (up)](img/sort_asc.gif) |
This paper reviews the properties and applications of certain n-ary generalizations of Lie algebras in a self-contained and unified way. These generalizations are algebraic structures in which the two-entry Lie bracket has been replaced by a bracket with n entries. Each type of n-ary bracket satisfies a specific characteristic identity which plays the role of the Jacobi identity for Lie algebras. Particular attention will be paid to generalized Lie algebras, which are defined by even multibrackets obtained by antisymmetrizing the associative products of its n components and that satisfy the generalized Jacobi identity, and to Filippov (or n-Lie) algebras, which are defined by fully antisymmetric n-brackets that satisfy the Filippov identity. 3-Lie algebras have surfaced recently in multi-brane theory in the context of the Bagger-Lambert-Gustavsson model. As a result, Filippov algebras will be discussed at length, including the cohomology complexes that govern their central extensions and their deformations ( it turns out that Whitehead's lemma extends to all semisimple n-Lie algebras). When the skewsymmetry of the Lie or n-Lie algebra bracket is relaxed, one is led to a more general type of n-algebras, the n-Leibniz algebras. These will be discussed as well, since they underlie the cohomological properties of n-Lie algebras. The standard Poisson structure may also be extended to the n-ary case. We shall review here the even generalized Poisson structures, whose generalized Jacobi identity reproduces the pattern of the generalized Lie algebras, and the Nambu-Poisson structures, which satisfy the Filippov identity and determine Filippov algebras. Finally, the recent work of Bagger-Lambert and Gustavsson on superconformal Chern-Simons theory will be briefly discussed. Emphasis will be made on the appearance of the 3-Lie algebra structure and on why the A(4) model may be formulated in terms of an ordinary Lie algebra, and on its Nambu bracket generalization. |
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Address |
[de Azcarraga, J. A.] Univ Valencia, Dept Theoret Phys, Fac Phys, E-46100 Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Publisher |
Iop Publishing Ltd |
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English |
Summary Language |
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Edition |
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ISSN |
1751-8113 |
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Notes |
ISI:000279463100003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ elepoucu @ |
Serial |
419 |
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Permanent link to this record |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
k-Leibniz algebras from lower order ones: From Lie triple to Lie l-ple systems |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
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Volume |
54 |
Issue |
9 |
Pages |
093510 - 14pp |
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Keywords |
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Abstract ![sorted by Abstract field, ascending order (up)](img/sort_asc.gif) |
Two types of higher order Lie l-ple systems are introduced in this paper. They are defined by brackets with l > 3 arguments satisfying certain conditions, and generalize the well-known Lie triple systems. One of the generalizations uses a construction that allows us to associate a (2n – 3)-Leibniz algebra pound with a metric n-Leibniz algebra () pound over tilde by using a 2(n – 1)-linear Kasymov trace form for () pound over tilde. Some specific types of k-Leibniz algebras, relevant in the construction, are introduced as well. Both higher order Lie l-ple generalizations reduce to the standard Lie triple systems for l = 3. |
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Corporate Author |
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Original Title |
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Series Editor |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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ISSN |
0022-2488 |
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Expedition |
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Conference |
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Notes |
WOS:000325407300032 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1618 |
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Permanent link to this record |