The geometry of gauged (super)conformal mechanics

0567126 - FZÚ 2023 RIV US eng J - Journal Article
Mirfendereski, D. - Raeymaekers, Joris - Sanli, C. - Van den Bleeken, D.
The geometry of gauged (super)conformal mechanics.
Journal of High Energy Physics. Roč. 2022, č. 8 (2022), č. článku 081. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA MŠMT EF15_003/0000437
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : Extended Supersymmetry * Scale and Conformal Symmetries
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

Motivated by recently explored examples, we undertake a systematic study of conformal invariance in one-dimensional sigma models where an isometry group has been gauged. Perhaps surprisingly, we uncover classes of sigma models which are only scale invariant in their ungauged form and become fully conformally invariant only after gauging. In these cases the target space of the gauged sigma model satisfies a deformation of the well-known conformal geometry constraints. We consider bosonic models as well as their NN = 1, 2, 4 supersymmetric extensions. We solve the quantum ordering ambiguities in implementing (super-) conformal symmetry on the physical Hilbert space. Examples of our general results are furnished by the D(2, 1, 0)-invariant Coulomb branch quiver models relevant for black hole physics.
Permanent Link: https://hdl.handle.net/11104/0338389