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Author |
Lledo, M.A. |
![goto web page (via DOI) doi](img/doi.gif)
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Title |
Superfields, Nilpotent Superfields and Superschemes dagger |
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Journal Article |
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Year |
2020 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
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Volume |
12 |
Issue |
6 |
Pages ![sorted by First Page field, descending order (down)](img/sort_desc.gif) |
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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Mdpi |
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English |
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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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Author |
Cervantes, D.; Fioresi, R.; Lledo, M.A.; Nadal, F.A. |
![goto web page (via DOI) doi](img/doi.gif)
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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 ![sorted by First Page field, descending order (down)](img/sort_desc.gif) |
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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Wiley-V C H Verlag Gmbh |
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English |
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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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Permanent link to this record |
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Author |
Cervantes, D.; Fioresi, R.; Lledo, M.A.; Nadal, F.A. |
![goto web page (via DOI) doi](img/doi.gif)
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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 ![sorted by First Page field, descending order (down)](img/sort_desc.gif) |
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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[Cervantes, D.] IPN, CINVESTAV, Comp Sci Dept, Mexico City, DF, Mexico, Email: dalia@computacion.cs.cinvestav.mx; |
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Maik Nauka-Interperiodica |
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English |
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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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Permanent link to this record |