Research

My publications are freely available on the arXiv Prohazka, S or via INSPIRE Stefan.Prohazka.1.

Much of my research centers around the mathematical study and physical applications of symmetries. There are many interesting new developments in our understanding of the infrared structure of gauge theories and of symmetries of quantum field theories or effective field theories for condensed matter systems.

Some of the topics my collaborators and I have been working on:

• Asymptotic symmetries, memory effects and soft theorems

  • Soft gravitons in three dimensions 

  • Fracton infrared triangle 

  • Higher Spin Black Holes with Soft Hair 

• Dipole symmetries on curved manifolds:

  • Fractons, dipole symmetries and curved spacetime 

• Classification of Carroll/fracton particles

  • Carroll/fracton particles and their correspondence 

  • Quantum Carroll/fracton particles 

• Carroll symmetry and its relation to flat space holography

  • Carrollian and celestial spaces at infinity

  • Massive carrollian fields at timelike infinity

  • Quantizing Carrollian field theories 

• Classification of spacetime symmetries and particles

  • Spatially isotropic homogeneous spacetimes 

  • Lifshitz symmetry: Lie algebras, spacetimes and particles 

• Construction of (novel) theories and their actions

  • The Action of the (Free) N = (3, 1) Theory in Six Spacetime Dimensions 

  • The gauging procedure and carrollian gravity 

  • Limits of JT gravity 

  • Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension

  • Three-dimensional Spin-3 Theories Based on General Kinematical Algebras