Transformations of Currents in Sigma-Models with Target Space Supersymmetry
We develop a framework for the systematic study of symmetry transformations of sigma-model currents in a special situation, when symmetries have a well-defined projection onto the target space. We then apply this formalism to pure spinor sigma-models, and describe the resulting geometric structures...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2024 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212164 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Transformations of Currents in Sigma-Models with Target Space Supersymmetry. Vinicius Bernardes, Andrei Mikhailov and Eggon Viana. SIGMA 20 (2024), 031, 27 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743087080538112 |
|---|---|
| author | Bernardes, Vinicius Mikhailov, Andrei Viana, Eggon |
| author_facet | Bernardes, Vinicius Mikhailov, Andrei Viana, Eggon |
| citation_txt | Transformations of Currents in Sigma-Models with Target Space Supersymmetry. Vinicius Bernardes, Andrei Mikhailov and Eggon Viana. SIGMA 20 (2024), 031, 27 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We develop a framework for the systematic study of symmetry transformations of sigma-model currents in a special situation, when symmetries have a well-defined projection onto the target space. We then apply this formalism to pure spinor sigma-models, and describe the resulting geometric structures in the target space (which in our approach includes the pure spinor ghosts). We perform a detailed study of the transformation properties of currents, using the formalism of equivariant cohomology. We clarify the descent procedure for the ''universal'' deformation corresponding to changing the overall scale of the worldsheet action. We also study the contact terms in the OPE of BRST currents, and derive some relations between currents and vertex operators which perhaps have not been previously acknowledged. We also clarify the geometrical meaning of the ''minimalistic'' BV action for pure spinors in AdS.
|
| first_indexed | 2026-03-21T18:11:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212164 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:11:07Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bernardes, Vinicius Mikhailov, Andrei Viana, Eggon 2026-01-30T08:16:17Z 2024 Transformations of Currents in Sigma-Models with Target Space Supersymmetry. Vinicius Bernardes, Andrei Mikhailov and Eggon Viana. SIGMA 20 (2024), 031, 27 pages 1815-0659 2020 Mathematics Subject Classification: 83E30; 17B55; 55N25; 70S10 arXiv:2303.14181 https://nasplib.isofts.kiev.ua/handle/123456789/212164 https://doi.org/10.3842/SIGMA.2024.031 We develop a framework for the systematic study of symmetry transformations of sigma-model currents in a special situation, when symmetries have a well-defined projection onto the target space. We then apply this formalism to pure spinor sigma-models, and describe the resulting geometric structures in the target space (which in our approach includes the pure spinor ghosts). We perform a detailed study of the transformation properties of currents, using the formalism of equivariant cohomology. We clarify the descent procedure for the ''universal'' deformation corresponding to changing the overall scale of the worldsheet action. We also study the contact terms in the OPE of BRST currents, and derive some relations between currents and vertex operators which perhaps have not been previously acknowledged. We also clarify the geometrical meaning of the ''minimalistic'' BV action for pure spinors in AdS. We want to thank the referees for helping us to improve the paper, in particular for pointing out errors in the original version. This work was supported in part by the ICTP-SAIFR FAPESP grant 2019/21281-4. The work of VB was supported by the Grant Agency of the Czech Republic under the grant EXPRO 20-25775X. The work of AM was supported in part by CNPq grant “Produtividade em Pesquisa” 307191/2022-2. The work of EV was supported by FAPESP grant 2022/00940-2. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Transformations of Currents in Sigma-Models with Target Space Supersymmetry Article published earlier |
| spellingShingle | Transformations of Currents in Sigma-Models with Target Space Supersymmetry Bernardes, Vinicius Mikhailov, Andrei Viana, Eggon |
| title | Transformations of Currents in Sigma-Models with Target Space Supersymmetry |
| title_full | Transformations of Currents in Sigma-Models with Target Space Supersymmetry |
| title_fullStr | Transformations of Currents in Sigma-Models with Target Space Supersymmetry |
| title_full_unstemmed | Transformations of Currents in Sigma-Models with Target Space Supersymmetry |
| title_short | Transformations of Currents in Sigma-Models with Target Space Supersymmetry |
| title_sort | transformations of currents in sigma-models with target space supersymmetry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212164 |
| work_keys_str_mv | AT bernardesvinicius transformationsofcurrentsinsigmamodelswithtargetspacesupersymmetry AT mikhailovandrei transformationsofcurrentsinsigmamodelswithtargetspacesupersymmetry AT vianaeggon transformationsofcurrentsinsigmamodelswithtargetspacesupersymmetry |