Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Kravchuk, Petr"'
We construct an effective field theory for fusion of conformal defects of any codimension in $d\geq 3$ conformal field theories. We fully solve the constraints of Weyl invariance for defects of arbitrary shape on general curved bulk manifolds and dis
Externí odkaz:
http://arxiv.org/abs/2406.04561
The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely ma
Externí odkaz:
http://arxiv.org/abs/2312.09283
Autor:
Erramilli, Rajeev S., Iliesiu, Luca V., Kravchuk, Petr, Liu, Aike, Poland, David, Simmons-Duffin, David
Publikováno v:
JHEP 02 (2023) 036
We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric G
Externí odkaz:
http://arxiv.org/abs/2210.02492
We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a collider experiment. In a conformal theory they can be identified with lig
Externí odkaz:
http://arxiv.org/abs/2209.00008
Publikováno v:
Comm. Amer. Math. Soc. 4 (2024), 1-63
We describe a new method for constraining Laplacian spectra of hyperbolic surfaces and 2-orbifolds. The main ingredient is consistency of the spectral decomposition of integrals of products of four automorphic forms. Using a combination of representa
Externí odkaz:
http://arxiv.org/abs/2111.12716
CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature. Some of these properties may represent
Externí odkaz:
http://arxiv.org/abs/2104.02090
Autor:
Erramilli, Rajeev S., Iliesiu, Luca V., Kravchuk, Petr, Landry, Walter, Poland, David, Simmons-Duffin, David
We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around a crossin
Externí odkaz:
http://arxiv.org/abs/2011.01959
Autor:
Chang, Cyuan-Han, Kologlu, Murat, Kravchuk, Petr, Simmons-Duffin, David, Zhiboedov, Alexander
We study a product of null-integrated local operators $\mathcal{O}_1$ and $\mathcal{O}_2$ on the same null plane in a CFT. Such null-integrated operators transform like primaries in a fictitious $d-2$ dimensional CFT in the directions transverse to t
Externí odkaz:
http://arxiv.org/abs/2010.04726
We show that the four-point functions in conformal field theory are defined as distributions on the boundary of the region of convergence of the conformal block expansion. The conformal block expansion converges in the sense of distributions on this
Externí odkaz:
http://arxiv.org/abs/2001.08778
Autor:
Kravchuk, Petr
We study various questions related to operators with spin in quantum conformal field theory in dimensions higher than two. In particular, we classify conformally-invariant tensor structures which appear in correlation functions of local operators and