|
Records |
Links |
|
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 |
|
Thesis |
|
|
|
Publisher |
Mdpi |
Place of Publication |
|
Editor |
|
|
|
Language |
English |
Summary Language |
|
Original Title |
|
|
|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
|
Medium |
|
|
|
Area |
|
Expedition |
|
Conference |
|
|
|
Notes |
WOS:000677165600001 |
Approved |
no |
|
|
Is ISI |
yes |
International Collaboration |
yes |
|
|
Call Number |
IFIC @ pastor @ |
Serial |
4909 |
|
Permanent link to this record |
|
|
|
|
Author |
Lledo, M.A. |
|
|
Title |
Superfields, Nilpotent Superfields and Superschemes dagger |
Type |
Journal Article |
|
Year |
2020 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
|
|
Volume |
12 |
Issue |
6 |
Pages |
1024 - 32pp |
|
|
Keywords |
supergeometry; superfields; quantum field theory |
|
|
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. |
|
|
Address |
[Antonia Lledo, Maria] Univ Valencia, Dept Fis Teor, C Dr Moliner 50, E-46100 Burjassot, Valencia, Spain, Email: maria.lledo@ific.uv.es |
|
|
Corporate Author |
|
Thesis |
|
|
|
Publisher |
Mdpi |
Place of Publication |
|
Editor |
|
|
|
Language |
English |
Summary Language |
|
Original Title |
|
|
|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
|
ISBN |
|
Medium |
|
|
|
Area |
|
Expedition |
|
Conference |
|
|
|
Notes |
WOS:000550827300001 |
Approved |
no |
|
|
Is ISI |
yes |
International Collaboration |
no |
|
|
Call Number |
IFIC @ pastor @ |
Serial |
4468 |
|
Permanent link to this record |
|
|
|
|
Author |
Fioresi, R.; Lledo, M.A.; Razzaq, J. |
|
|
Title |
N=2 quantum chiral superfields and quantum super bundles |
Type |
Journal Article |
|
Year |
2022 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
|
|
Volume |
55 |
Issue |
38 |
Pages |
384012 - 19pp |
|
|
Keywords |
supergeometry; supersymmetry; quantum groups; noncommutative geometry; Minkowski space |
|
|
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. |
|
|
Address |
[Fioresi, R.] Univ Bologna, Fabit, Via San Donato 15, I-40126 Bologna, Italy, Email: rita.fioresi@unibo.it; |
|
|
Corporate Author |
|
Thesis |
|
|
|
Publisher |
IOP Publishing Ltd |
Place of Publication |
|
Editor |
|
|
|
Language |
English |
Summary Language |
|
Original Title |
|
|
|
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
|
Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
1751-8113 |
ISBN |
|
Medium |
|
|
|
Area |
|
Expedition |
|
Conference |
|
|
|
Notes |
WOS:000849946700001 |
Approved |
no |
|
|
Is ISI |
yes |
International Collaboration |
yes |
|
|
Call Number |
IFIC @ pastor @ |
Serial |
5351 |
|
Permanent link to this record |