The event will take place the following days:

Thursday 22/08
Lecture 1: classroom 502 from 17:00 to 18:30 hrs.

Thursday 05/09
Lecture 2 and 3: classroom 302 from 17:00 to 18:30 hrs.

Outline

The purpose of this mini-course is to give an introduction to Carrollian dynamics.

Contents

Lecture 1

• Carroll Symmetries
•  Carroll geometries:
  • From c → 0 limit
  • null hypersurfaces
  • (conformal) isometries

Lecture 2

•  Carrollian dynamics:
  • From symmetries
  • From c → 0 limit
  • (non)-conserved Noether currents

Lecture 3

•  Some applications in gravity:
  • Black hole event horizon dynamics as Carrollian fluids
  • Holographic reconstruction of Ricci-flat spacetimes

References

• Duval, C., Gibbons, G. W., & Horvathy, P. A. (2014). Conformal Carroll groups and BMS symmetry. Classical and Quantum Gravity, 31(9), 092001.- arXiv
• Ciambelli, L., Marteau, C., Petkou, A. C., Petropoulos, P. M., & Siampos, K. (2018). Flat holography and Carrollian fluids. Journal of High Energy Physics, 2018(7), 1-46.- arXiv
• Ciambelli, L., & Marteau, C. (2019). Carrollian conservation laws and Ricci-flat gravity. Classical and Quantum Gravity, 36(8), 085004. – arXiv
• Donnay, L., & Marteau, C. (2019). Carrollian physics at the black hole horizon. Classical and Quantum Gravity, 36(16), 165002.- arXiv
• Ciambelli, L., Leigh, R. G., Marteau, C., & Petropoulos, P. M. (2019). Carroll structures, null geometry, and conformal isometries. Physical Review D, 100(4), 046010.- arXiv
• Petkou, A. C., Petropoulos, P. M., Rivera-Betancour, D., & Siampos, K. (2022). Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars. Journal of High Energy Physics, 2022(9), 1-94.- arXiv
• Campoleoni, A., Delfante, A., Pekar, S., Petropoulos, P. M., Rivera-Betancour, D., & Vilatte, M. (2023). Flat from anti de Sitter. Journal of High Energy Physics, 2023(12), 1-46.- arXiv

Resources

•  Lectures PDF