Publications (24)
Renormalisation of IR divergences and holography in de Sitter
Adam Bzowski, Paul McFadden, Kostas Skenderis
We formulate a renormalisation procedure for IR divergences of tree-level in-in late-time de Sitter correlators. These divergences are due to the infinite volume of spacetime and a…
Evaluation of conformal integrals
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a comprehensive method for the evaluation of a vast class of integrals representing 3-point functions of conformal field theories in momentum space. The method leads to…
Renormalised CFT 3-point functions of scalars, currents and stress tensors
Adam Bzowski, Paul McFadden, Kostas Skenderis
We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. In previous work we analysed co…
Convergence, Strong Law of Large Numbers, and Measurement Theory in the Language of Fuzzy Variables
Adam Bzowski, Michal K. Urbanski
In the paper we define the convergence of compact fuzzy sets as a convergence of alpha-cuts in the topology of compact subsets of a metric space. Furthermore we define typical conv…
TripleK: A Mathematica package for evaluating triple-K integrals and conformal correlation functions
Adam Bzowski
I present a Mathematica package designed for manipulations and evaluations of triple-K integrals and conformal correlation functions in momentum space. Additionally, the program pr…
Wormholes, geons, and the illusion of the tensor product
Adam Bzowski
In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces. After prese…
Dimensional renormalization in AdS/CFT
Adam Bzowski
In this paper we present a dimensional renormalization scheme suitable for holographic theories. We use the bulk physics in the supergravity limit as a definition of the dual CFT.…
Renormalised 3-point functions of stress tensors and conserved currents in CFT
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stres…
Conformal correlators as simplex integrals in momentum space
Adam Bzowski, Paul McFadden, Kostas Skenderis
We find the general solution of the conformal Ward identities for scalar -point functions in momentum space and in general dimension. The solution is given in terms of integrals…
Holography for inflation using conformal perturbation theory
Adam Bzowski, Paul McFadden, Kostas Skenderis
We provide a precise and quantitative holographic description of a class of inflationary slow-roll models. The dual QFT is a deformation of a three-dimensional CFT by a nearly marg…
Dimensional regularization for holographic RG flows
Adam Bzowski, Marjorie Schillo
In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is…
Comments on scale and conformal invariance in four dimensions
Adam Bzowski, Kostas Skenderis
There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we presen…
Interactions resolve state-dependence in a toy-model of AdS black holes
Adam Bzowski, Alessandra Gnecchi, Thomas Hertog
We show that the holographic description of a class of AdS black holes with scalar hair involves dual field theories with a double well effective potential. Black hole microstates…
Handbook of derivative AdS amplitudes
Adam Bzowski
In the 2022 study, together with Paul McFadden and Kostas Skenderis, I analyzed tree-level 3- and 4-point Witten diagrams (amplitudes) of scalar operators in anti-de Sitter space i…
Conformal -point functions in momentum space
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a Feynman integral representation for the general momentum-space scalar -point function in any conformal field theory. This representation solves the conformal Ward i…
Holographic predictions for cosmological 3-point functions
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present the holographic predictions for cosmological 3-point correlators, involving both scalar and tensor modes, for a universe which started in a non-geometric holographic pha…
Implications of conformal invariance in momentum space
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in genera…
A handbook of holographic 4-point functions
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a comprehensive discussion of tree-level holographic -point functions of scalar operators in momentum space. We show that each individual Witten diagram satisfies the…
Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
Adam Bzowski, Paul McFadden, Kostas Skenderis
We present a comprehensive discussion of renormalisation of 3-point functions of scalar operators in conformal field theories in general dimension. We have previously shown that co…
Cosmological singularities encoded in IR boundary correlations
Adam Bzowski, Thomas Hertog, Marjorie Schillo
We study the dynamics near big crunch singularities produced in asymptotic AdS cosmologies using gauge/gravity duality. The dual description consists of a constant mass deformation…
Breaking the spell of the tensor product
Adam Bzowski
In this essay I argue that the Hilbert space of states dual to a traversable wormhole is smaller than the tensor product of the independent Hilbert spaces of the boundary field the…
Consistency of supersymmetric 't Hooft anomalies
Adam Bzowski, Guido Festuccia, VladimÃr Procházka
We consider recent claims that supersymmetry is anomalous in the presence of a R-symmetry anomaly. We revisit arguments that such an anomaly in supersymmetry can be removed and wri…
Wormholes from two-sided -deformation
Adam Bzowski
We introduce a new coupling between stress tensors of the CFTs living on the two boundaries of the BTZ black hole. Similar to the -deformation, the system exhibits unive…
The holographic interpretation of -deformed CFTs
Adam Bzowski, Monica Guica
Recently, a non-local yet possibly UV-complete quantum field theory has been constructed by deforming a two-dimensional CFT by the composite operator , where is a chi…