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Author  |
Cervantes, D.; Fioresi, R.; Lledo, M.A.; Nadal, F.A. |
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Title |
Quantum Twistors |
Type |
Journal Article |
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Year |
2016 |
Publication |
P-Adic Numbers Ultrametric Analysis and Applications |
Abbreviated Journal |
P-Adic Num. |
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Volume |
8 |
Issue |
1 |
Pages |
2-30 |
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Keywords |
star products; non commutative spacetime; quantum groups |
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Abstract |
We compute explicitly a star product on the Minkowski space whose Poisson bracket is quadratic. This star product corresponds to a deformation of the conformal spacetime, whose big cell is the Minkowski spacetime. The description of Minkowski space is made in the twistor formalism and the quantization follows by substituting the classical conformal group by a quantum group. |
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Address |
[Cervantes, D.] IPN, CINVESTAV, Comp Sci Dept, Mexico City, DF, Mexico, Email: dalia@computacion.cs.cinvestav.mx; |
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Publisher |
Maik Nauka-Interperiodica |
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Language |
English |
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Series Issue |
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Edition |
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ISSN |
2070-0466 |
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Conference |
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Notes |
WOS:000410319300001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
3295 |
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Author |
Cervantes, D.; Fioresi, R.; Lledo, M.A.; Nadal, F.A. |
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Title |
Quadratic deformation of Minkowski space |
Type |
Journal Article |
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Year |
2012 |
Publication |
Fortschritte der Physik-Progress of Physics |
Abbreviated Journal |
Fortschritte Phys.-Prog. Phys. |
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Volume |
60 |
Issue |
9-10 |
Pages |
970-976 |
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Keywords |
Deformations; star product; Minkowski spacetime |
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Abstract |
We present a deformation of the Minkowski space as embedded into the conformal space (in the formalism of twistors) based in the quantum versions of the corresponding kinematic groups. We compute explicitly the star product, whose Poisson bracket is quadratic. We show that the star product although defined on the polynomials can be extended differentiably. Finally we compute the Eucliden and Minkowskian real forms of the deformation. |
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Address |
[Lledo, Maria A.; Nadal, Felip A.] Univ Valencia, Dept Fis Teor, Burjassot 46100, Valencia, Spain, Email: daliac@nucleares.unam.mx; |
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Publisher |
Wiley-V C H Verlag Gmbh |
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Language |
English |
Summary Language |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0015-8208 |
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Conference |
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Notes |
WOS:000308301500003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1150 |
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Author |
Fioresi, R.; Latini, E.; Lledo, M.A.; Nadal, F.A. |
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Title |
The Segre embedding of the quantum conformal superspace |
Type |
Journal Article |
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Year |
2018 |
Publication |
Advances in Theoretical and Mathematical Physics |
Abbreviated Journal |
Adv. Theor. Math. Phys. |
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Volume |
22 |
Issue |
8 |
Pages |
1939-2000 |
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Keywords |
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Abstract |
In this paper we study the quantum deformation of the superflag Fl(2 vertical bar 0, 2 vertical bar 1, 4 vertical bar 1), and its big cell, describing the complex conformal and Minkowski superspaces respectively. In particular, we realize their projective embedding via a generalization to the super world of the Segre map and we use it to construct a quantum deformation of the super line bundle realizing this embedding. This strategy allows us to obtain a description of the quantum coordinate superring of the superflag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SLq (4 vertical bar 1). |
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Address |
[Fioresi, R.; Latini, E.] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy, Email: rita.fioresi@UniBo.it; |
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Publisher |
Int Press Boston, Inc |
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Language |
English |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1095-0761 |
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 |
WOS:000475480800004 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4102 |
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