Journal of High Energy Physics最新文献

This work studies the connection of the global properties of the SM gauge group to 1-form discrete symmetries, the possible non-Abelian embeddings of the SM group, and electric and magnetic charge quantisation. Building on previous work, we introduce indexes to characterise the group choices, connect the concept of compositeness degree to emergent electric 1-form symmetry, introduce a new model to fill in the p = 1 gap, and analyse the magnetic spectrum while connecting its UV and IR realisations.

We propose a novel approach to study hyperbolic Kac-Moody algebras, and more specifically, the Feingold-Frenkel algebra 𝔉, which is based on considering the tensor algebra of level-one states before descending to the Lie algebra by converting tensor products into multiple commutators. This method enables us to exploit the presence of mutually commuting coset Virasoro algebras, whose number grows without bound with increasing affine level. We present the complete decomposition of the tensor algebra under the affine and coset Virasoro symmetries for all levels ℓ ≤ 5, as well as the maximal tensor ground states from which all elements of 𝔉 up to level five can be (redundantly) generated by the joint action of the affine and coset Virasoro generators, and subsequent conversion to multi-commutators, which are then expressed in terms of transversal and longitudinal DDF states. We comment on the deep relations between the algebra 𝔉 and Einstein gravity in four space-time dimensions, and outline novel directions for future work.

We consider the quantum integrable spin chain models associated with the Jimbo R-matrix based on the quantum affine algebra ( {D}_{n+1}^{(2)} ), subject to quantum-group-invariant boundary conditions parameterized by two discrete variables p = 0, . . . , n and ε = 0, 1. We develop the analytical Bethe ansatz for the previously unexplored case ε = 1 with any n, and use it to investigate the effects of different boundary conditions on the finite-size spectrum of the quantum spin chain based on the rank-2 algebra ( {D}_3^{(2)} ). Previous work on this model with periodic boundary conditions has shown that it is critical for the range of anisotropy parameters 0 < γ < π/4, where its scaling limit is described by a non-compact CFT with continuous degrees of freedom related to two copies of the 2D black hole sigma model. The scaling limit of the model with quantum-group-invariant boundary conditions depends on the parameter ε: similarly as in the rank-1 ( {D}_2^{(2)} ) chain, we find that the symmetry of the lattice model is spontaneously broken, and the spectrum of conformal weights has both discrete and continuous components, for ε = 1. For p = 1, the latter coincides with that of the ( {D}_2^{(2)} ) chain, which should correspond to a non-compact brane related to one black hole CFT in the presence of boundaries. For ε = 0, the spectrum of conformal weights is purely discrete.

We investigate the anomalies of 6d ( mathcal{N} ) = (2, 0) superconformal field theories for any ADE gauge group using the modern characterization of anomalies by cobordism. We propose that, in order to account for all features of the anomaly, a bordism theory with exotic tangential structure is needed. We then attempt to match the anomaly in the IR effective theory on the tensor branch with a suitable WZW term. Once again, we show that the exotic bordism structure is necessary to achieve this. Our results suggest a natural explanation for the origin of the Hopf-Wess-Zumino term.

We explore the holographic prescription for computing the refined Rényi entropies ( {overset{sim }{S}}_n ) in the n → 0 limit within the AdS_d+1/CFT_d framework. This limit can be interpreted as a high-temperature regime with respect to the energy defined by the modular Hamiltonian of the state reduced to a subregion. To leading order in n, we find that the system attains local equilibrium and admits a CFT description in terms of a Euclidean, irrotational perfect fluid. This fluid exhibits vortex-like boundary conditions at the entangling surface. Guided by this physical picture, we construct an ansatz for the dual geometry in terms of the boundary fluid variables. We show that our anzats solves the Einstein’s equations coupled to a cosmic brane at leading order in n, in agreement with Dong’s proposal for the holographic dual to the refined Rényi entropy. The resulting conical singularity, signaling the brane’s location, can be understood from this perspective as the bulk extension of the boundary fluid vortices.

We study the structure constants of two conformal primary operators and one spinning operator in planar 𝒩 = 4 Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure constants in string theory and generalizing them to operators with arbitrary R-charges.

The aim of this paper is to study three dimensional Lorentzian conformal field theories in twistor space. We formulate the conformal Ward identities and solve for two and three point Lorentzian Wightman functions. We found that the Helicity operators apart from the conformal generators play an important role in fixing their functional form. The equations take the form of first order Euler equations which in addition to the usual solutions that are rational, also possess weak solutions which are distributional in nature. We found two distinct classes of distributional solutions to these equations that play an important role in our analysis. For instance, in the case of three point functions, the distributional solutions are indeed the ones realized by the CFT correlators. We also extend our analysis to parity odd Wightman functions which take an interesting form in twistor space. We verify our results by systematically analyzing the corresponding Wightman functions in momentum space and spinor helicity variables and matching with the twistor results via a half-Fourier transform.

We study massive charged scalar field perturbations in four- and five- dimensional charged anti-de Sitter soliton spacetimes. Appropriate boundary conditions are established via a local analysis of the perturbation equations. The normal mode spectra are then calculated numerically using the Horowitz-Hubeny method and a collocation method. We reveal scaling laws and asymptotic behaviors governing the normal mode spectra. The reality of the normal mode frequencies indicates the dynamic stability of the soliton, which in turn provides support for the positive energy conjecture in asymptotically locally anti-de Sitter spacetime.

We organise the four-fermion vector current interactions below the weak scale — i.e., in the low energy effective field theory (LEFT) — into irreps of definite parity and SU(N) flavour symmetry. Their coefficients are thus arranged into small subsets with distinct phenomenology, which are significantly smaller than traditional groupings of operators by individual fermion number. As these small subsets only mix among themselves, we show that the renormalisation group evolution is soluble semi-analytically, and examine the resulting eigenvalues and eigenvectors of the one- and two-loop running. This offers phenomenological insights, for example into the radiative stability of lepton flavour non-universality. We use these to study model-independent implications for b → sττ decays, as well as setting indirect bounds on flavour changing four-quark interactions.

The study of non-local operators in gauge theory and holography, such as line-operators or interfaces, has attracted significant attention. Two-dimensional symmetric product orbifolds are close cousins of higher-dimensional gauge theory. In this work, we construct a novel family of interfaces in symmetric product orbifolds. These may be regarded as two-dimensional analogues of Wilson-line operators or Karch-Randall interfaces at the same time. The construction of the interfaces entails the choice of boundary conditions of the seed theory. For a generic seed theory, we construct the boundary states associated to the interfaces via the folding trick, compute their overlaps and extract the spectrum of interface changing operators through modular transformation. Then, we specialise to the supersymmetric four-torus ({mathbb{T}}^{4}) and show that the corresponding interfaces of the symmetric product orbifold are dual to AdS₂ branes in the tensionless limit of type IIB superstring theory on (Ad{S}_{3}times {S}^{3}times {mathbb{T}}^{4}).