The Fradkin–Schwinger functional methods to represent a Green function in an external gravitational field are used study the eikonal and next-to-eikonal limit, including nonlinear interactions, of scattering amplitudes ultra-relativistic scalar particle on static super-massive target nearly forward limit. approach confirms exponentiation leading which also applies first non-leading power energy...

Conformal geometry is studied using the unfolded formulation \`a la Vasiliev. Analyzing first-order consistency of equations, we identify content zero-forms as spin-two off-shell Fradkin-Tseytlin module $\mathfrak{so}(2,d)$. We sketch nonlinear structure equations and explain how Weyl invariant densities, which Type-B anomaly consist of, could be systematically computed within formulation. The ...

Submitted for the MAR08 Meeting of The American Physical Society Local density of states in Luttinger liquids with a dynamicallygenerated spin gap DIRK SCHURICHT, The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, UK, AKBAR JAEFARI, University of Illinois at Urbana-Champaign, FABIAN ESSLER, The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, UK, EDUARD...

We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses involving four sites. Via a Fradkin--Kadanoff transformation chain is shown be equivalent non-chiral $\mathbb{Z}_3$ axial next-nearest neighbour Potts model. discuss possible experimental realisation using hetero-nanostructures. The contains severa...

The ${\cal N}=4$ higher spin generators for general superspin $s$ in terms of oscillators the matrix generalization $AdS_3$ Vasiliev theory at nonzero $\mu$ (which is equivalent to 't Hooft-like coupling constant $\lambda$) were found previously. In this paper, by computing (anti)commutators between these low spins $s_1$ and $s_2$ ($s_1+s_2 \leq 11$) explicitly, we determine complete algebra ge...