Hynek Paul
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View article: Holographic correlators beyond maximal supersymmetry
Holographic correlators beyond maximal supersymmetry Open
A bstract We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $$ \mathcal{N} $$ = 1 Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass defor…
View article: Correlation functions for non-conformal Dp-brane holography
Correlation functions for non-conformal Dp-brane holography Open
A bstract We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D p -branes in the large- N and strong-coupling limit. The relevant supergravity b…
View article: Holographic Correlators Beyond Maximal Supersymmetry
Holographic Correlators Beyond Maximal Supersymmetry Open
We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $\mathcal{N}=1$ Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass deformation of the 4d $…
View article: Unitarity method for holographic defects
Unitarity method for holographic defects Open
We initiate the study of loop-level holographic correlators in the presence of defects. We present a unitarity method that constructs loop corrections from lower order data. As an example, we apply this method to 6D N=(2,0) theories with 1…
View article: Unitarity Method for Holographic Defects
Unitarity Method for Holographic Defects Open
We initiate the study of loop-level holographic correlators in the presence of defects. We present a unitarity method which constructs loop corrections from lower order data. As an example, we apply this method to 6d $\mathcal{N}=(2,0)$ th…
View article: Genus-one open string amplitudes on AdS5×S3 from CFT
Genus-one open string amplitudes on AdS5×S3 from CFT Open
A bstract We bootstrap one-loop string corrections to the four-point function of half-BPS operators in a 4d $$ \mathcal{N} $$ = 2 SCFT with flavour group SO(8), dual to gluon scattering at genus one on AdS 5 ×S 3 . We identify an 8-dimen…
View article: Genus-one open string amplitudes on AdS$_5\times$S$^3$ from CFT
Genus-one open string amplitudes on AdS$_5\times$S$^3$ from CFT Open
We bootstrap one-loop string corrections to the four-point function of half-BPS operators in a 4d $\mathcal{N}=2$ SCFT with flavour group $SO(8)$, dual to gluon scattering at genus one on AdS$_5\times$S$^3$. We identify an 8-dimensional or…
View article: Exact large charge in $$ \mathcal{N} $$ = 4 SYM and semiclassical string theory
Exact large charge in $$ \mathcal{N} $$ = 4 SYM and semiclassical string theory Open
A bstract In four-dimensional $$ \mathcal{N} $$ = 4 super Yang-Mills theory with gauge group SU( N ), we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbit…
View article: Exact Large Charge in $\mathcal{N}=4$ SYM and Semiclassical String Theory
Exact Large Charge in $\mathcal{N}=4$ SYM and Semiclassical String Theory Open
In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge. The…
View article: Integrated correlators in $$ \mathcal{N} $$ = 4 SYM via SL(2, ℤ) spectral theory
Integrated correlators in $$ \mathcal{N} $$ = 4 SYM via SL(2, ℤ) spectral theory Open
A bstract We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $$ \mathcal{N} $$ = 4 super Yang-Mills theory with gauge group SU( N ). These observables, defined by a certain spacetim…
View article: Integrated Correlators in $\\mathcal{N}=4$ SYM via $SL(2,\\mathbb{Z})$\n Spectral Theory
Integrated Correlators in $\\mathcal{N}=4$ SYM via $SL(2,\\mathbb{Z})$\n Spectral Theory Open
We perform a systematic study of integrated four-point functions of half-BPS\noperators in four-dimensional $\\mathcal{N}=4$ super Yang-Mills theory with\ngauge group $SU(N)$. These observables, defined by a certain spacetime integral\nof …
View article: Two-loop supergravity on AdS5×S5 from CFT
Two-loop supergravity on AdS5×S5 from CFT Open
A bstract We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS 5 × S 5 . We start from an ansatz for a preamplitude from which we generate the full amplitude under the action of a specific Casimir op…
View article: Two-loop supergravity on AdS$_5\times$S$^5$ from CFT
Two-loop supergravity on AdS$_5\times$S$^5$ from CFT Open
We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS$_5\times$S$^5$. We start from an ansatz for a preamplitude from which we generate the full amplitude under the action of a specific Casimir operat…
View article: One-loop string corrections for AdS Kaluza-Klein amplitudes
One-loop string corrections for AdS Kaluza-Klein amplitudes Open
A bstract We discuss the string corrections to one-loop amplitudes in AdS 5 × S 5 , focussing on their expressions in Mellin space. We present the leading ( α ′) 3 corrections to the family of correlators $$ \left\langle {\mathcal{O}}_2{\m…
View article: Broad‐scale patterns of geographic avoidance between species emerge in the absence of fine‐scale mechanisms of coexistence
Broad‐scale patterns of geographic avoidance between species emerge in the absence of fine‐scale mechanisms of coexistence Open
Aim The need to forecast range shifts under future climate change has motivated an increasing interest in better understanding the role of biotic interactions in driving diversity patterns. The contribution of biotic interactions to shapin…
View article: Coefficient functions of one-loop correlators
Coefficient functions of one-loop correlators Open
Ancillary file to the PhD Thesis "Aspects of Four-Point Functions in N=4 SYM at Strong Coupling" by Hynek Paul. This ancillary file contains the coefficient functions for the one-loop supergravity correlators , , , , and , as well as the …
View article: Aspects of four-point functions in N = 4 SYM at strong coupling
Aspects of four-point functions in N = 4 SYM at strong coupling Open
In this thesis we focus on two main topics: the double-trace spectrum of strongly-coupled N = 4 SYM theory and the construction of one-loop four-point functions in AdS5×S 5 . We begin by providing a basic review of N = 4 SYM and its connec…
View article: Bootstrapping string theory on AdS$_5 \times S^5$
Bootstrapping string theory on AdS$_5 \times S^5$ Open
We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $λ^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of constraints on…
View article: One-loop amplitudes in AdS5×S5 supergravity from N = 4 SYM at strong coupling
One-loop amplitudes in AdS5×S5 supergravity from N = 4 SYM at strong coupling Open
We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dual…
View article: Loop corrections for Kaluza-Klein AdS amplitudes
Loop corrections for Kaluza-Klein AdS amplitudes Open
Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Ka…
View article: Unmixing supergravity
Unmixing supergravity Open
We examine the double-trace spectrum of N=4 super Yang-Mills theory in the supergravity limit. At large N double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to four-point function…
View article: Quantum Gravity from Conformal Field Theory
Quantum Gravity from Conformal Field Theory Open
We bootstrap loop corrections to AdS5 supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of NN = 4 super Yang-Mills theory. In particular this yields much new information…