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How do quarter BPS states cease being BPS?
Multi angle
Authors : Wendland, Katrin (Author of the conference)
CIRM (Publisher )
17B69 - Vertex operators; vertex operator algebras and related structures
81T45 - Topological field theories
81T60 - Supersymmetric field theories
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 04/07/2022 Conference Date : 09/06/2022 Subseries : Research talks arXiv category : High Energy Physics Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry ; Lie Theory and Generalizations ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:04:05 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-06-09_Wendland.mp4 
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Information on the Event
Event Title : Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentationsEvent Organizers : Adamovic, Drazen ; Arakawa, Tomoyuki ; Moreau, Anne ; Scheithauer, Nils Dates : 06/06/2022 - 10/06/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2363.html
Citation Data
DOI : 10.24350/CIRM.V.19932903Cite this video as: 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 |
See Also
- [Multi angle] A lattice theoretical interpretation of generalized deep holes / Author of the conference Lam, Ching Hung.
- [Multi angle] Surprising VOA structures from Quantum Topology / Author of the conference Gukov, Sergei.
- [Multi angle] Vertex models and $E_n$-algebras / Author of the conference Calaque, Damien.
Bibliography
- 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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