| Records |
Author  |
Cervantes, D.; Fioresi, R.; Lledo, M.A.; Nadal, F.A. |
| Title |
Quantum Twistors |
Type |
Journal Article |
| Year |
2016 |
Publication |
P-Adic Numbers Ultrametric Analysis and Applications |
Abbreviated Journal |
P-Adic Num. |
| Volume |
8 |
Issue |
1 |
Pages |
2-30 |
| Keywords |
star products; non commutative spacetime; quantum groups |
| 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. |
| Address |
[Cervantes, D.] IPN, CINVESTAV, Comp Sci Dept, Mexico City, DF, Mexico, Email: dalia@computacion.cs.cinvestav.mx; |
| Corporate Author |
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Thesis |
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| Publisher |
Maik Nauka-Interperiodica |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
2070-0466 |
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:000410319300001 |
Approved |
no |
| Is ISI |
yes |
International Collaboration |
yes |
| Call Number |
IFIC @ pastor @ |
Serial |
3295 |
| Permanent link to this record |
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| Author |
Fioresi, R.; Lledo, M.A. |
| Title |
Quantum Supertwistors |
Type |
Journal Article |
| Year |
2021 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
| Volume |
13 |
Issue |
7 |
Pages |
1241 - 16pp |
| Keywords |
star products; superspace; non-commutative spacetime; quantum groups; quantum supergroups |
| 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. |
| Address |
[Fioresi, Rita] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy, Email: fioresi@dm.unibo.it; |
| Corporate Author |
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Thesis |
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| Publisher |
Mdpi |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
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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:000677165600001 |
Approved |
no |
| Is ISI |
yes |
International Collaboration |
yes |
| Call Number |
IFIC @ pastor @ |
Serial |
4909 |
| Permanent link to this record |
