English
How do quarter BPS states cease being BPS?
Multi angle
Auteurs : Wendland, Katrin (Auteur de la Conférence)
CIRM (Editeur )
17B69 - Vertex operators; vertex operator algebras and related structures
81T45 - Topological field theories
81T60 - Supersymmetric field theories
CIRM (Editeur )
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Résumé :
The so-called BPS states in a conformal field theory with extended supersymmetry are key when assigning a geometric interpretation to the theory. Standard invariants for such theories arise from a net count of BPS, half or quarter BPS states, according to the Z2 grading into ‘bosons' and ‘fermions'. This allows for boson-fermion pairs of states to cease being BPS under deformation of the theory. The talk will give a review of this phenomenon, arguing that it is ubiquitous in theories with geometric interpretation by a K3 surface. For a particular type of deformations, we propose that the process is channelled by the action of SU(2) on an appropriate subspace of the space of states.
This is joint work with Anne Taormina.
Keywords : superconformal field theory; BPS states; K3 surfaces
Codes MSC : This is joint work with Anne Taormina.
Keywords : superconformal field theory; BPS states; K3 surfaces
17B69 - Vertex operators; vertex operator algebras and related structures
81T45 - Topological field theories
81T60 - Supersymmetric field theories
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 04/07/2022 Date de captation : 09/06/2022 Sous collection : Research talks arXiv category : High Energy Physics Domaine : Algebra ; Algebraic & Complex Geometry ; Lie Theory and Generalizations ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 01:04:05 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-06-09_Wendland.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentationsOrganisateurs de la rencontre : Adamovic, Drazen ; Arakawa, Tomoyuki ; Moreau, Anne ; Scheithauer, Nils Dates : 06/06/2022 - 10/06/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2363.html
Données de citation
DOI : 10.24350/CIRM.V.19932903Citer cette vidéo: Wendland, Katrin (2022). How do quarter BPS states cease being BPS?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19932903 URI : http://dx.doi.org/10.24350/CIRM.V.19932903 |
Voir aussi
- [Multi angle] A lattice theoretical interpretation of generalized deep holes / Auteur de la Conférence Lam, Ching Hung.
- [Multi angle] Surprising VOA structures from Quantum Topology / Auteur de la Conférence Gukov, Sergei.
- [Multi angle] Vertex models and $E_n$-algebras / Auteur de la Conférence Calaque, Damien.
Bibliographie
- TAORMINA, Anne et WENDLAND, Katrin. SU (2) channels the cancellation of K3 BPS states. Journal of High Energy Physics, 2020, vol. 2020, no 4, p. 1-33. - https://doi.org/10.1007/JHEP04(2020)184
- WENDLAND, Katrin. Hodge-elliptic genera and how they govern K3 theories. Communications in Mathematical Physics, 2019, vol. 368, no 1, p. 187-221. - https://doi.org/10.1007/s00220-019-03425-4
- KELLER, Christoph A. et ZADEH, Ida G. Lifting $$\frac {1}{4} $ $14-BPS States on K3 and Mathieu Moonshine. Communications in Mathematical Physics, 2020, vol. 377, no 1, p. 225-257. - https://doi.org/10.1007/s00220-020-03721-4
- SONG, Bailin. Chiral Hodge cohomology and Mathieu moonshine. International Mathematics Research Notices, 2022, vol. 2022, no 6, p. 4001-4021. - http:// https://doi.org/10.1093/imrn/rnz298
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