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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 |
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ISSN |
0015-8208 |
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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.; Lledo, M.A.; Razzaq, J. |
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Title |
N=2 quantum chiral superfields and quantum super bundles |
Type |
Journal Article |
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Year |
2022 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
55 |
Issue |
38 |
Pages |
384012 - 19pp |
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Keywords |
supergeometry; supersymmetry; quantum groups; noncommutative geometry; Minkowski space |
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Abstract |
We give the superalgebra of N = 2 chiral (and antichiral) quantum superfields realized as a subalgebra of the quantum supergroup SL q (4|2). The multiplication law in the quantum supergroup induces a coaction on the set of chiral superfields. We also realize the quantum deformation of the chiral Minkowski superspace as a quantum principal bundle. |
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Address |
[Fioresi, R.] Univ Bologna, Fabit, Via San Donato 15, I-40126 Bologna, Italy, Email: rita.fioresi@unibo.it; |
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Publisher |
IOP Publishing Ltd |
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Language |
English |
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ISSN |
1751-8113 |
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Notes |
WOS:000849946700001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5351 |
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Author |
Lledo, M.A.; Sommovigo, L. |
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Title |
Torsion formulation of gravity |
Type |
Journal Article |
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Year |
2010 |
Publication |
Classical and Quantum Gravity |
Abbreviated Journal |
Class. Quantum Gravity |
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Volume |
27 |
Issue |
6 |
Pages |
065014 - 16pp |
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Keywords |
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Abstract |
We explain precisely what it means to have a connection with torsion as a solution of the Einstein equations. While locally the theory remains the same, the new formulation allows for topologies that would have been excluded in the standard formulation of gravity. In this formulation it is possible to couple arbitrary torsion to gauge fields without breaking the gauge invariance. |
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Address |
[Lledo, M. A.; Sommovigo, L.] Univ Valencia, Dept Fis Teor, E-46100 Valencia, Spain, Email: Maria.Lledo@ific.uv.es |
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Publisher |
Iop Publishing Ltd |
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Language |
English |
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ISSN |
0264-9381 |
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Notes |
ISI:000275120600015 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ elepoucu @ |
Serial |
498 |
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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 |
Summary Language |
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Series Volume |
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Edition |
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ISSN |
1095-0761 |
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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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Author |
Aldana, M.; Lledo, M.A. |
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Title |
The Fuzzy Bit |
Type |
Journal Article |
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Year |
2023 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
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Volume |
15 |
Issue |
12 |
Pages |
2103 - 25pp |
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Keywords |
fuzzy sets; quantum logic; multivalued logic; Quantum Mechanics |
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Abstract |
In this paper, the formulation of Quantum Mechanics in terms of fuzzy logic and fuzzy sets is explored. A result by Pykacz, which establishes a correspondence between (quantum) logics (lattices with certain properties) and certain families of fuzzy sets, is applied to the Birkhoff-von Neumann logic, the lattice of projectors of a Hilbert space. Three cases are considered: the qubit, two qubits entangled, and a qutrit 'nested' inside the two entangled qubits. The membership functions of the fuzzy sets are explicitly computed and all the connectives of the fuzzy sets are interpreted as operations with these particular membership functions. In this way, a complete picture of the standard quantum logic in terms of fuzzy sets is obtained for the systems considered. |
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Address |
[Aldana, Milagrosa] Univ Simon Bolivar, Dept Ciencias Tierra, Valle De Sartenejas 89000, Baruta, Venezuela, Email: maldana@usb.ve; |
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Publisher |
Mdpi |
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Language |
English |
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Notes |
WOS:001131238400001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5962 |
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| Permanent link to this record |
