Q-curvature and path integral complexity

نویسندگان

چکیده

We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for systematical construction higher-dimensional complexity holographic conformal field theories terms Q-curvature actions. explore properties and consequences these actions from programme, tensor networks penalty factors. Moreover, context recently proposed optimization, we consider higher curvature contributions on Hartle-Hawking bulk slice study their impact well relation to finite cut-off holography.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Q-deformed Path Integral

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2) q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

متن کامل

A strong bound on the integral of the central path curvature and its relationship with the iteration-complexity of primal-dual path-following LP algorithms

The main goals of this paper are to: i) relate two iteration-complexity bounds derived for the Mizuno-Todd-Ye predictor-corrector (MTY P-C) algorithm for linear programming (LP), and; ii) study the geometrical structure of the LP central path. The first iteration-complexity bound for the MTY P-C algorithm considered in this paper is expressed in terms of the integral of a certain curvature func...

متن کامل

Projective curvature and integral invariants

In this paper, an extension of all Lie group actions on R to coordinates defined by potentials is given. This provides a new solution to the equivalence problems of curves under the projective group and two of its subgroups. The potentials correspond to integrals of higher and higher order producing an infinite number of independent integral invariants. Applications to computer vision are discu...

متن کامل

Prescribing Integral Curvature Equation

In this paper we formulate new curvature functions on Sn via integral operators. For certain even orders, these curvature functions are equivalent to the classic curvature functions defined via differential operators, but not for all even orders. Existence result for antipodally symmetric prescribed curvature functions on Sn is obtained. As a corollary, the existence of a conformal metric for a...

متن کامل

Q-curvature and Poincaré Metrics

This article presents a new definition of Branson’s Q-curvature in even dimensional conformal geometry. The Q-curvature is a generalization of the scalar curvature in dimension 2: it satisfies an analogous transformation law under conformal rescalings of the metric and on conformally flat manifolds its integral is a multiple of the Euler characteristic. Our approach is motivated by the recent w...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2022

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep04(2022)081