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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 |
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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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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 |
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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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. |
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Title |
Quantum Supertwistors |
Type |
Journal Article |
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Year |
2021 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
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Volume |
13 |
Issue |
7 |
Pages |
1241 - 16pp |
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Keywords |
star products; superspace; non-commutative spacetime; quantum groups; quantum supergroups |
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Abstract |
In this paper, we give an explicit expression for a star product on the super-Minkowski space written in the supertwistor formalism. The big cell of the super-Grassmannian Gr(2|0,4|1) is identified with the chiral, super-Minkowski space. The super-Grassmannian is a homogeneous space under the action of the complexification SL(4|1) of SU(2,2|1), the superconformal group in dimension 4, signature (1,3), and supersymmetry N=1. The quantization is done by substituting the groups and homogeneous spaces by their quantum deformed counterparts. The calculations are done in Manin's formalism. When we restrict to the big cell, we can explicitly compute an expression for the super-star product in the Minkowski superspace associated to this deformation and the choice of a certain basis of monomials. |
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Address |
[Fioresi, Rita] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy, Email: fioresi@dm.unibo.it; |
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Mdpi |
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English |
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Notes |
WOS:000677165600001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4909 |
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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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English |
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Edition |
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ISSN |
2070-0466 |
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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 |
Lledo, M.A. |
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Title |
Superfields, Nilpotent Superfields and Superschemes dagger |
Type |
Journal Article |
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Year |
2020 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
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Volume |
12 |
Issue |
6 |
Pages |
1024 - 32pp |
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Keywords |
supergeometry; superfields; quantum field theory |
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Abstract |
We interpret superfields in a functorial formalism that explains the properties that are assumed for them in the physical applications. We study the non-trivial relation of scalar superfields with the defining sheaf of the supermanifold of super spacetime. We also investigate in the present work some constraints that are imposed on the superfields, which allow for non-trivial solutions. They give rise to superschemes that, generically, are not regular, that is they do not define a standard supermanifold. |
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Address |
[Antonia Lledo, Maria] Univ Valencia, Dept Fis Teor, C Dr Moliner 50, E-46100 Burjassot, Valencia, Spain, Email: maria.lledo@ific.uv.es |
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Publisher |
Mdpi |
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English |
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Notes |
WOS:000550827300001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
4468 |
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