Abstract The action of the free Open image in new window theory in six spacetime dimensions is explicitly constructed. The variables of the variational principle are prepotentials adapted to the self-duality conditions on the fields. The (3, 1) supersymmetry variations are given and the invariance of the action is verified. The action is first-order in time derivatives. It is...

Abstract We consider theories of weakly interacting higher spin particles in flat space-time. We focus on the four-point scattering amplitude at high energies and imaginary scattering angles. The leading asymptotic of the amplitude in this regime is universal and equal to the corresponding limit of the Veneziano amplitude. In this paper, we find tha the first sub-leading...

Abstract The positivity of relative entropy for spatial subsystems in a holographic CFT implies the positivity of certain quantities in the dual gravitational theory. In this note, we consider CFT subsystems whose boundaries lie on the lightcone of a point p. We show that the positive gravitational quantity which corresponds to the relative entropy for such a subsystem A is a...

Abstract It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant Λ4. The constraints come from imposing the absence of any non-SUSY AdS stable vacua obtained from any consistent compactification of the SM to 3 or 2 dimensions. This...

Abstract Within the standard model, non-renormalizable operators at dimension six (d = 6) violate baryon and lepton number by one unit and thus lead to proton decay. Here, we point out that the proton decay mode with a charged pion and missing energy can be a characteristic signature of d = 6 operators containing a light sterile neutrino, if it is not accompanied by the standard...

Abstract We calculate the one-loop contributions to the polarization operator for scalar quantum electrodynamics in different external electromagnetic and gravitational fields. In the case of gravity, de Sitter space and its different patches were considered. It is shown that the Debye mass appears only in the case of alpha-vacuum in the Expanding Poincare Patch. It can be shown...

Abstract We discuss the problem of lattice artefacts in QCD simulations enhanced by the introduction of dynamical charmed quarks. In particular, we advocate the use of a massive renormalization scheme with a close to realistic charm mass. To maintain O(a) improvement for Wilson type fermions in this case we define a finite size scheme and carry out a nonperturbative estimation of...

Abstract Instantons in pure Yang-Mills theories on partially periodic space \( {\mathrm{\mathbb{R}}}^3\times {S}^1 \) are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an essential role for confinement/deconfinement transition in pure Yang-Mills gauge theory. For the case of gauge group...

Abstract This paper presents a search for direct electroweak gaugino or gluino pair production with a chargino nearly mass-degenerate with a stable neutralino. It is based on an integrated luminosity of 36.1 fb−1 of pp collisions at \( \sqrt{s}=13 \) TeV collected by the ATLAS experiment at the LHC. The final state of interest is a disappearing track accompanied by at least one...

Abstract We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe...

Abstract We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it to the maximal spatial volume and the other that relates it to the classical action of the Wheeler-de Witt patch. We calculate and...

Abstract The linear dilaton geometry in five dimensions, rediscovered recently in the continuum limit of the clockwork model, may offer a solution to the hierarchy problem which is qualitatively different from other extra-dimensional scenarios and leads to distinctive signatures at the LHC. We discuss the structure of the theory, in particular aspects of naturalness and UV...

AbstractWe argue that the scattering of gravitons in ordinary Einstein gravity possesses a hidden conformal symmetry at tree level in any number of dimensions. The presence of this conformal symmetry is indicated by the dilaton soft theorem in string theory, and it is reminiscent of the conformal invariance of gluon tree-level amplitudes in four dimensions. To motivate the...

Abstract We evaluate the low energy gravitational couplings, Fg in the heterotic E8 ×E8 string theory compactified on orbifolds of K3 × T 2 by g′ which acts as a ℤ N automorphism on K3 together with a 1/N shift along T 2. The orbifold g′ corresponds to the conjugacy classes of the Mathieu group M24. The holomorphic piece of F g is given in terms of a polylogarithm with index 3−2g...

Abstract We consider a neutrino Two Higgs Doublet Model (νTHDM) in which neutrinos obtain naturally small Dirac masses from the soft symmetry breaking of a global U(1) X symmetry. We extended the model so the soft term is generated by the spontaneous breaking of U(1) X by a new scalar field. The symmetry breaking pattern can also stabilize a scalar dark matter candidate. After...

Abstract The affine Yangian of gl1 is known to be isomorphic to \( {\mathcal{W}}_{1+\infty } \), the W-algebra that characterizes the bosonic higher spin — CFT duality. In this paper we propose some of the defining relations of the Yangian that are relevant for the \( \mathcal{N}=2 \) superconformal version of \( {\mathcal{W}}_{1+\infty } \). Our construction is based on the...

Abstract With the recent completion of NNNLO results, the perturbative description of the ϒ system has reached a very high level of sophistication. We consider the non-perturbative corrections as an expansion in terms of local condensates, following the approach pioneered by Voloshin and Leutwyler. The leading order corrections up to dimension eight and the potential NLO...

Abstract We construct a 6D nonabelian \( \mathcal{N}=\left(1,\ 0\right) \) theory by coupling an \( \mathcal{N}=\left(1,\ 0\right) \) tensor multiplet to an \( \mathcal{N}=\left(1,\ 0\right) \) hypermultiplet. While the \( \mathcal{N}=\left(1,\ 0\right) \) tensor multiplet is in the adjoint representation of the gauge group, the hypermultiplet can be in the fundamental...

Abstract Applying the method of light-cone sum rules with photon distribution amplitudes, we compute the subleading-power correction to the radiative leptonic B → γℓν decay from the twist-two hadronic photon contribution at next-to-leading order in QCD; and further evaluate the higher-twist “resolved photon” corrections at leading order in α s , up to twist-four accuracy. QCD...

Abstract Without any shred of evidence for new physics from LHC, the last hiding spots of natural electroweak supersymmetry seem to lie either in compressed spectra or in spectra where scalars are suppressed with respect to the gauginos. While in the MSSM (or in any theory where supersymmetry is broken by the F-vev of a chiral spurion), a hierarchy between scalar and gaugino...

Abstract We develop a well-defined spectral representation for two-point functions in relativistic Integrable QFT in finite density situations, valid for space-like separations. The resulting integral series is based on the infinite volume, zero density form factors of the theory, and certain statistical functions related to the distribution of Bethe roots in the finite density...

Abstract In this paper, we study the extended Standard Model (SM) with an extra Higgs doublet and right-handed neutrinos. If the symmetry to distinguish the two Higgs doublets is not assigned, flavor changing neutral currents (FCNCs) involving the scalars are predicted even at the tree level. We investigate the constraints on the FCNCs at the one-loop level, and especially study...

Abstract The peculiar value of θ is a challenge to the notion of an anthropic landscape. We briefly review the possibility that a suitable axion might arise from an anthropic requirement of dark matter. We then consider an alternative suggestion of Kaloper and Terning that θ might be correlated with the cosmological constant. We note that in a landscape one expects that θ is...

Abstract We study Zamolodchikov’s \( T\overline{T} \) deformation of two dimensional quantum field theories in a ’t Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t · c fixed (more precisely, we keep energies and distances fixed in units of t · c). In this limit the Hagedorn...

Abstract We present SU(2|1) supersymmetric mechanics on n-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold’s metric and curvature tensor. We consider the most general u(2)-valued prepotential, which contains...