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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 |
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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Elsevier Science Bv |
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English |
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ISSN |
0550-3213 |
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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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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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Abstract |
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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0022-2488 |
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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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Author |
de Azcarraga, J.A.; Fedoruk, S.; Izquierdo, J.M.; Lukierski, J. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
Two-twistor particle models and free massive higher spin fields |
Type |
Journal Article |
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Year |
2015 |
Publication |
Journal of High Energy Physics |
Abbreviated Journal |
J. High Energy Phys. |
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Volume |
04 |
Issue |
4 |
Pages |
010 - 39pp |
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Keywords |
Field Theories in Lower Dimensions; Higher Spin Symmetry; Extended Supersymmetry; Space-Time Symmetries |
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Abstract |
We present D = 3 and D = 4 world-line models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to towers of massive higher spin (HS) free fields. Two classically equivalent formulations are presented: one with a hybrid spacetime/bispinor variables and a second described by a free two-twistor dynamics with constraints. After first quantization in the D = 3 and D = 4 cases, the wave functions satisfying a massive version of Vasiliev's free unfolded equations are given as functions on the SL(2, R) and SL(2, C) group manifolds respectively, which describe arbitrary on-shell momenta and spin degrees of freedom. Further we comment on the D = 6 case, and possible supersymmetric extensions are mentioned as well. Finally, the description of interactions and the Ads/crr duality are briefly considered for massive IHS fields. |
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Address |
[de Azcarraga, J. A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es; |
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Springer |
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English |
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1029-8479 |
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Notes |
WOS:000356852000010 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2293 |
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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 |
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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Elsevier Science Bv |
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English |
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ISSN |
0550-3213 |
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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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Permanent link to this record |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M.; Picon, M. |
![goto web page (via DOI) doi](img/doi.gif)
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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 |
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English |
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ISSN |
0022-2488 |
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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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Permanent link to this record |