Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentations

Collection Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentations

Organizer(s) Adamovic, Drazen ; Arakawa, Tomoyuki ; Moreau, Anne ; Scheithauer, Nils

Date(s) 06/06/2022 - 10/06/2022

linked URL https://conferences.cirm-math.fr/2363.html

00:00:00 / 00:00:00

3 4

How do quarter BPS states cease being BPS?

By Katrin Wendland

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.

Information about the video

Date of recording 09/06/2022
Date of publication 04/07/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19932903
Cite this video Wendland, Katrin (09/06/2022). How do quarter BPS states cease being BPS?. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19932903
URL https://dx.doi.org/10.24350/CIRM.V.19932903

Domain(s)

High Energy Physics

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](http:// https://doi.org/10.1093/imrn/rnz298)

MSC codes

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