Journal of High Energy Physics最新文献

We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in [1], we extend its use to the three-loop Sudakov form factor. Although three classes of unitarity cuts fail under the globally off-shell CK-dual ansatz, a compact and elegant solution is achieved by deforming a single master numerator. The final numerators exhibit Lorentz invariance in d dimensions and take a local form. This method harnesses CK duality’s full potential by enforcing a subset of off-shell dual Jacobi identities for the deformation, offering a promising path toward constructing three-loop amplitudes in non-supersymmetric YM theory and gravity through CK duality and double copy.

We discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maximal cut of the two-loop non-planar double box, which is known to involve a hyperlliptic curve of genus two. We consider specifically three- and four-parameter Lauricella functions, each associated to a hyperelliptic curve of genus two, and construct their canonical differential equations. Whilst core steps of this construction rely on existing methods — that we show to be applicable in the higher-genus case — we use new ideas on the structure of the twisted cohomology intersection matrix associated to the integral family in canonical form to obtain a better understanding of the appearing new functions. We further observe the appearance of Siegel modular forms in the ε-factorized differential equation matrix, nicely generalizing similar observations from the elliptic case.

This paper aims to provide an explicit computation of the spectral torsion associated with the Connes type operator on even dimension compact manifolds. And we also extend the spectral torsion for the Connes type operator to compact manifolds with boundary.

In this note, we comment on the path integral formulation of string theory on ( mathcal{M} ) × S³ × ( {mathbbm{T}}^4 ) where ( mathcal{M} ) is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet theory and argue that the path integral depends only on the details of the conformal boundary ( partial mathcal{M} ), making the background independence of this theory manifest. We provide a simple path integral argument that the path integral localizes onto holomorphic covering maps from the worldsheet to the boundary. For closed manifolds ( mathcal{M} ), the gravitational path integral is argued to be trivial. Finally, we comment on the effect of continuous deformations of the worldsheet theory which introduce non-minimal string tension.

We compute the next-to-leading correction to the scaling dimension of large-charge operators in the 3d critical O(N) model in a double scaling limit in which both N and the operator charge Q are taken to be large. When Q ≫ N our result matches predictions from the conformal superfluid EFT and allows to extract next-to-leading order corrections to the EFT Wilsonian coefficients. At present, our result represents the most precise determination of large-charge operator scaling dimension in weakly-coupled CFTs.

The late time behavior of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the U(1) conserved current for a gauge field instead varies diffusively at late times. The present work generalizes this observation to conserved currents corresponding to higher-form symmetries that belong to a wider class of symmetries known as generalized symmetries. We started by computing the late time behavior of OTOCs involving U(1) current operators in five dimensional AdS-Schwarzschild black hole geometry for the 2-form antisymmetric B-fields. The bulk solution for the B-field exhibits logarithmic divergences near the asymptotic AdS boundary which can be regularized by introducing a double trace deformation in the boundary CFT. Finally, we consider the more general case with antisymmetric p-form fields in arbitrary dimensions. In the scattering approach, the boundary OTOC can be written as an inner product between asymptotic ‘in’ and ‘out’ states which in our case is equivalent to computing the inner product between two bulk fields with and without a shockwave background. We observe that the late time OTOCs have power law tails which seems to be a universal feature of the higher-form fields with U(1) charge conservation.

We undertake a comprehensive analysis of the supersymmetric partition function of the U(N)_k × U(N)_−k ABJM theory on a U(1) fibration over a Riemann surface, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS₄-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS₄-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1)_R holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large subclass of Seifert manifolds.

We investigate the supersymmetry breaking soft terms for all the viable models in the complete landscape of three-family supersymmetric Pati-Salam models arising from intersecting D6-branes on a 𝕋⁶/(ℤ₂ × ℤ₂) orientifold in type IIA string theory. The calculations are performed in the general scenario of u-moduli dominance with the s-moduli turned on, where the soft terms remain independent of the Yukawa couplings and the Wilson lines. The results for the trilinear coupling, gaugino-masses, squared-mass parameters of squarks, sleptons and Higgs depend on the brane wrapping numbers and the susy breaking parameters. We find that unlike the Yukawa couplings which remain unchanged for the models dual under the exchange of two SU(2) sectors, the corresponding soft term parameters only match for the trilinear coupling and the mass of the gluino. This can be explained by the internal geometry where the Yukawa interactions depend only on the triangular areas of the worldsheet instantons while the soft terms have an additional dependence on the orientation-angles of D6-branes in the three two-tori. In the special limit of parameter space we find universal masses for the Higgs and the gauginos.

Drinfel’d doubles of Lie bialgebroids play an important role in T-duality of string theories. In the presence of H and R fluxes, Lie bialgebroids should be extended to proto Lie bialgebroids. For both cases, the pair is given by two dual vector bundles, and the Drinfel’d double yields a Courant algebroid. However for U-duality, more complicated direct sum decompositions that are not described by dual vector bundles appear. In a previous work, we extended the notion of a Lie bialgebroid for vector bundles that are not necessarily dual. We achieved this by introducing a framework of calculus on algebroids and examining compatibility conditions for various algebroid properties in this framework. Here our aim is two-fold: extending our work on bialgebroids to include both H- and R-twists, and generalizing proto Lie bialgebroids to pairs of arbitrary vector bundles. To this end, we analyze various algebroid axioms and derive twisted compatibility conditions in the presence of twists. We introduce the notion of proto bialgebroids and their Drinfel’d doubles, where the former generalizes both bialgebroids and proto Lie bialgebroids. We also examine the most general form of vector bundle automorphisms of the double, related to twist matrices, that generate a new bracket from a given one. We analyze various examples from both physics and mathematics literatures in our framework.

We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c₁, is equal to the coefficient of the subleading piece of the Casimir energy on S¹ × S^d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c₁ ≥ 0 in CFT and collect some evidence for this bound. We discuss various applications of the thermal effective field theory, including placing the CFT on different spatial backgrounds and turning on chemical potentials for U(1) charge and angular momentum. Along the way, we derive the high-temperature partition function on a sphere with arbitrary angular velocities using only time dilation and length contraction.