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How do quarter BPS states cease being BPS?

By Katrin Wendland

Appears in collection : Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentations

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.

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Citation data

  • DOI 10.24350/CIRM.V.19932903
  • Cite this video Wendland Katrin (6/9/22). 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

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)

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