Connor Behan
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View article: Long-range minimal models
Long-range minimal models Open
We study a class of nonlocal conformal field theories in two dimensions which are obtained as deformations of the Virasoro minimal models. The construction proceeds by coupling a relevant primary operator $ϕ_{r,s}$ of the $m$-th minimal mo…
View article: Simplicity of Mellin amplitudes for AdS$_3 \times$S$^3$
Simplicity of Mellin amplitudes for AdS$_3 \times$S$^3$ Open
The spectrum of half-BPS single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS$_3\times$S$^3$. We present simple formulae for all fou…
View article: Coupled minimal models revisited II: Constraints from permutation symmetry
Coupled minimal models revisited II: Constraints from permutation symmetry Open
Coupling N large m minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vacuum…
View article: Coupled minimal models revisited II: Constraints from permutation symmetry
Coupled minimal models revisited II: Constraints from permutation symmetry Open
Coupling $N$ large $m$ minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vaccuu…
View article: Mellin amplitudes for AdS3 × S3
Mellin amplitudes for AdS3 × S3 Open
A bstract There are holographic superconformal theories in all dimensions between two and six which allow arbitrary tree-level four-point functions to be fixed by basic consistency conditions. Although Mellin space is usually the most effi…
View article: Towards bootstrapping F-theory
Towards bootstrapping F-theory Open
A bstract We consider type IIB string theory with N D3 branes and various configurations of sevenbranes, such that the string coupling g s is fixed to a constant finite value. These are the simplest realizations of F-theory, and are hologr…
View article: Mellin amplitudes for $AdS_3 \times S^3$
Mellin amplitudes for $AdS_3 \times S^3$ Open
There are holographic superconformal theories in all dimensions between two and six which allow arbitrary tree-level four-point functions to be fixed by basic consistency conditions. Although Mellin space is usually the most efficient sett…
View article: Towards Bootstrapping F-theory
Towards Bootstrapping F-theory Open
We consider type IIB string theory with $N$ D3 branes and various configurations of sevenbranes, such that the string coupling $g_s$ is fixed to a constant finite value. These are the simplest realizations of F-theory, and are holographica…
View article: Gluon scattering in AdS at finite string coupling from localization
Gluon scattering in AdS at finite string coupling from localization Open
A bstract We consider gluons scattering in Type IIB string theory on AdS 5 × S 5 / ℤ 2 in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d $$ \mathcal{N} $$ = 2 USp(2 N ) gauge theory with SO(8)…
View article: Gluon scattering in AdS at finite string coupling from localization
Gluon scattering in AdS at finite string coupling from localization Open
We consider gluons scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d $\mathcal{N}=2$ $USp(2N)$ gauge theory with $SO(8)$ fl…
View article: Coupled Minimal Conformal Field Theory Models Revisited
Coupled Minimal Conformal Field Theory Models Revisited Open
We study coupled unitary Virasoro minimal models in the large rank (m→∞) limit. In large m perturbation theory, we find two nontrivial IR fixed points which exhibit irrational coefficients in several anomalous dimensions and the central ch…
View article: Report on scipost_202207_00037v1
Report on scipost_202207_00037v1 Open
We use numerical bootstrap techniques to study correlation functions of a traceless symmetric tensors of O(N ) with two indexes t ij .We obtain upper bounds on operator dimensions for all the relevant representations and several values of …
View article: Holographic S-fold theories at one loop
Holographic S-fold theories at one loop Open
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharg…
View article: Report on 2202.05261v1
Report on 2202.05261v1 Open
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry.This is the case for a family of 4d CFTs with eight supercharge…
View article: Report on 2202.05261v1
Report on 2202.05261v1 Open
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry.This is the case for a family of 4d CFTs with eight supercharge…
View article: Coupled Minimal Models Revisited
Coupled Minimal Models Revisited Open
We study coupled unitary Virasoro minimal models in the large rank ($m \rightarrow \infty$) limit. In large $m$ perturbation theory, we find two non-trivial IR fixed points which exhibit irrational coefficients in several anomalous dimensi…
View article: Report on 2107.14637v2
Report on 2107.14637v2 Open
We apply the conformal bootstrap technique to study the U (1) Dirac spin liquid (i.e.N f = 4 QED 3 ) and the newly proposed N = 7 Stiefel liquid (i.e. a conjectured 3d non-Lagrangian CFT without supersymmetry).For the N f = 4 QED 3 , we fo…
View article: Bootstrapping boundary-localized interactions II: Minimal models at the boundary
Bootstrapping boundary-localized interactions II: Minimal models at the boundary Open
We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m'th unitary diagonal minimal model. For large m we can demon…
View article: More on holographic correlators: twisted and dimensionally reduced structures
More on holographic correlators: twisted and dimensionally reduced structures Open
A bstract Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, …
View article: Report on 2005.04250v2
Report on 2005.04250v2 Open
It is well established that the O(N ) Wilson-Fisher (WF) CFT sits at a kink of the numerical bounds from bootstrapping four point function of O(N ) vector.Moving away from the WF kinks, there indeed exists another family of kinks (dubbed n…
View article: Bootstrapping the long-range Ising model in three dimensions
Bootstrapping the long-range Ising model in three dimensions Open
The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest sp…
View article: Unitary subsector of generalized minimal models
Unitary subsector of generalized minimal models Open
We revisit the line of non-unitary theories that interpolate between the\nVirasoro minimal models. Numerical bootstrap applications have brought about\ninterest in the four-point function involving the scalar primary of lowest\ndimension. …
View article: mpmath: a Python library for arbitrary-precision floating-point arithmetic
mpmath: a Python library for arbitrary-precision floating-point arithmetic Open
Python library for arbitrary-precision floating-point arithmetic
View article: A scaling theory for the long-range to short-range crossover and an infrared duality
A scaling theory for the long-range to short-range crossover and an infrared duality Open
We study the second-order phase transition in the d-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$ . For s below some known value $s_*$ , the transition is described by a conformal fi…
View article: Long-Range Critical Exponents near the Short-Range Crossover
Long-Range Critical Exponents near the Short-Range Crossover Open
The d-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power 1/r^{d+s}, admits a second-order phase transition with continuously varying critical exponents. At s=s_{*}, the phase trans…
View article: PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
PyCFTBoot: A Flexible Interface for the Conformal Bootstrap Open
We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps respective…