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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
D=3 (p, q)-Poincare supergravities from Lie algebra expansions |
Type |
Journal Article |
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Year |
2012 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
854 |
Issue |
1 |
Pages |
276-291 |
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Abstract |
We use the expansion of superalgebras procedure (summarized in the text) to derive Chem-Simons (CS) actions for the (p, q)-Poincare supergravities in three-dimensional spacetimes. After deriving the action for the (p, 0)-Poincare supergravity as a CS theory for the expansion osp(p vertical bar 2: R)(2, 1) of osp(p vertical bar 2: R), we find the general (p, q)-Poincare superalgebras and their associated D = 3 supergravity actions as CS gauge theories from an expansion of the simple osp(p + q vertical bar 2, R) superalgebras, namely osp(p + q vertical bar 2, R)(2, 1, 2). |
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Address  |
[de Azcarraga, JA] 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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Language |
English |
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Edition |
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ISSN |
0550-3213 |
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Conference |
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Notes |
WOS:000296167500011 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
787 |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M.; Picon, M. |
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Title |
Contractions of Filippov algebras |
Type |
Journal Article |
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Year |
2011 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
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Volume |
52 |
Issue |
1 |
Pages |
013516 - 24pp |
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Keywords |
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Abstract |
We introduce in this paper the contractions B-c of n-Lie (or Filippov) algebras B and show that they have a semidirect structure as their n = 2 Lie algebra counterparts. As an example, we compute the nontrivial contractions of the simple A(n+1) Filippov algebras. By using the. Inonu-Wigner and the generalized Weimar-Woods contractions of ordinary Lie algebras, we compare (in the B = A(n+1) simple case) the Lie algebras Lie B-c (the Lie algebra of inner endomorphisms of B-c) with certain contractions (Lie B)(IW) and (Lie B)(W-W) of the Lie algebra Lie B associated with B. |
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Address |
[de Azcarraga, Jose A.; Picon, Moises] Univ Valencia, Dept Theoret Phys, E-46100 Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Corporate Author |
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Publisher |
Amer Inst Physics |
Place of Publication |
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Language |
English |
Summary Language |
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ISSN |
0022-2488 |
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Conference |
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Notes |
ISI:000286898400034 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
574 |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
On a class of n-Leibniz deformations of the simple Filippov algebras |
Type |
Journal Article |
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Year |
2011 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
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Volume |
52 |
Issue |
2 |
Pages |
023521 - 13pp |
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Keywords |
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Abstract |
We study the problem of infinitesimal deformations of all real, simple, finite-dimensional Filippov (or n-Lie) algebras, considered as a class of n-Leibniz algebras characterized by having an n-bracket skewsymmetric in its n-1 first arguments. We prove that all n > 3 simple finite-dimensional Filippov algebras (FAs) are rigid as n-Leibniz algebras of this class. This rigidity also holds for the Leibniz deformations of the semisimple n = 2 Filippov (i.e., Lie) algebras. The n = 3 simple FAs, however, admit a nontrivial one-parameter infinitesimal 3-Leibniz algebra deformation. We also show that the n >= 3 simple Filippov algebras do not admit nontrivial central extensions as n-Leibniz algebras of the above class. |
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Address |
[de Azcarraga, Jose A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Publisher |
Amer Inst Physics |
Place of Publication |
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Language |
English |
Summary Language |
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Series Volume |
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Edition |
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ISSN |
0022-2488 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
ISI:000287811800050 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
558 |
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Author |
de Azcarraga, J.A.; Kamimura, K.; Lukierski, J. |
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Title |
Generalized cosmological term from Maxwell symmetries |
Type |
Journal Article |
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Year |
2011 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
83 |
Issue |
12 |
Pages |
124036 - 8pp |
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Keywords |
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Abstract |
By gauging the Maxwell spacetime algebra, the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six four-vector fields A(mu)(ab)(x) associated with the six Abelian tensorial charges in the Maxwell algebra. In the simplest Maxwell extension of Einstein gravity this leads to a generalized cosmological term that includes a contribution from these vector fields. We also consider going beyond the basic gravitational model by means of bilinear actions for the new Abelian gauge fields. Finally, an analogy with the supersymmetric generalization of gravity is indicated. In an appendix, we propose an equivalent description of the model in terms of a shift of the standard spin connection by the A(mu)(ab)(x) fields. |
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Address |
[de Azcarrraga, Jose A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain |
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Corporate Author |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1550-7998 |
ISBN |
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Medium |
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Area |
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Conference |
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Notes |
ISI:000291936200003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ elepoucu @ |
Serial |
662 |
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