Gradient Formula for Linearly Self-Interacting Branes
نویسندگان
چکیده
منابع مشابه
Spectral gradient methods for linearly constrained optimization
Linearly constrained optimization problems with simple bounds are considered in the present work. First, a preconditioned spectral gradient method is defined for the case in which no simple bounds are present. This algorithm can be viewed as a quasiNewton method in which the approximate Hessians satisfy a weak secant equation. The spectral choice of steplength is embedded into the Hessian appro...
متن کاملFLAG: Fast Linearly-Coupled Adaptive Gradient Method
The celebrated Nesterov’s accelerated gradient method offers great speed-ups compared to the classical gradient descend method as it attains the optimal first-order oracle complexity for smooth convex optimization. On the other hand, the popular AdaGrad algorithm competes with mirror descent under the best regularizer by adaptively scaling the gradient. Recently, it has been shown that the acce...
متن کاملInteracting branes, dual branes, and dyonic branes: a unifying lagrangian approach in D dimensions
This paper presents a general covariant lagrangian framework for the dynamics of a system of closed n–branes and dual (D − n − 4)–branes in D dimensions, interacting with a dynamical (n + 1)–form gauge potential. The framework proves sufficiently general to include also a coupling of the branes to (the bosonic sector of) a dynamical supergravity theory. We provide a manifestly Lorentz–invariant...
متن کاملDyonic P-branes from Self-dual (p+1)-branes
The 'electromagnetic' Sl(2; Z) duality group in spacetime dimension D = 4k can be given a Kaluza-Klein interpretation in D = 4k + 2 as the modular group of a compactifying torus. We show how dyonic 2(k − 1)-branes in D = 4k can be interpreted as self-dual (2k − 1)-branes in D = 4k + 2 wound around the homology cycles of the torus. In particular, dyons of the D=4 N=4 heterotic string theory are ...
متن کاملLarge Space-Time Scale Behavior of Linearly Interacting Diffusions
We study a renormalization transformation arising in an infinite system of interacting diffusions. The components of the system are labeled by the N -dimensional hierarchical lattice (N ≥ 2) and take values in a compact convex set D ⊂ Rd (d ≥ 1). Each component starts at some θ ∈ D and is subject to two motions: (1) an isotropic diffusion according to a local diffusion rate g : D → [0,∞) chosen...
متن کاملذخیره 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: Communications in Mathematical Physics
سال: 2003
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-003-0800-1