3 papers
hep-th2025
Bounds on Abelian Currents in 4d CFTs
Denis Karateev, Petr Kravchuk, Andrea Manenti +2
We study four-dimensional conformal field theories (CFTs) with an abelian global symmetry using the conformal bootstrap approach. We obtain numerical bounds on the scaling d…
hep-th2025
Weight Shifting Operators and Conformal Blocks
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
We introduce a large class of conformally-covariant differential operators and a crossing equation that they obey. Together, these tools dramatically simplify calculations involvin…
hep-th2024
Correlation Functions and Trace Anomalies in Weakly Relevant Flows
Denis Karateev, Biswajit Sahoo
We study abstract weakly relevant flows in a general number of dimensions. They arguably provide the simplest example of renormalization group (RG) flows between two non-trivial fi…