1 Duality rotations in four dimensions
نویسنده
چکیده
We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. Special discrete elements of the continuous group are shown to be related to the Legendre transformation with respect to the field strengths. Contribution to the Proceedings of the Newton Institute Euroconference on Duality and Supersymmetric Theories, April, 1997 This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-95-14797.
منابع مشابه
F - Theory , T - Duality on K 3 Surfaces and N = 2 Supersymmetric Gauge Theories in Four Dimensions
We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply the construction to F-theory compactified on a Calabi-Yau 4-fold and study the duality of N = 2 SU(N c) gauge theories in four dimensions. We discuss the gener...
متن کاملClosed Inhomogeneous String Cosmologies
We present a general algorithm which permits to construct solutions in string cosmology for heterotic and type-IIB superstrings in four dimensions. Using a chain of transformations applied in sequence: conformal, T-duality and SL(2,R) rotations, along with the usual generating techniques associated to Geroch transformations in Einstein frame, we obtain solutions with all relevant low-energy rem...
متن کاملNew Superconformal Field Theories in Four Dimensions and N = 1 Duality
Recently, developments in the understanding of low-energy N = 1 supersymmetric gauge theory have revealed two important phenomena: the appearance of new four-dimensional superconformal field theories and a non-Abelian generalization of electric-magnetic duality at the IR fixed point. This report is a pedagogical introduction to these phenomena. After presenting some necessary background materia...
متن کاملar X iv : h ep - t h / 93 05 06 9 v 1 1 5 M ay 1 99 3 Dilaton , moduli and string / five - brane duality as seen from four dimensions
Dilaton, moduli and string/five-brane duality as seen from four dimensions. Abstract A naive dimensional reduction of the N = 1, D = 10 supergravity theory that naturally arises in five-brane models is used to determine the rôle of two fields which are basic ingredients of string models: the dilaton and, among the moduli, the breathing mode. It is shown that, under the duality transformation th...
متن کاملep - t h / 98 06 03 3 v 1 4 J un 1 99 8 Mode Analysis and Duality Symmetry in Different Dimensions
The problem of duality symmetry in free field models is examined in details by performing a mode expansion of these fields which provides a mapping with the purely quantum mechanical example of a harmonic oscillator. By analysing the duality symmetry in the harmonic oscillator, we show that the massless scalar theory in two dimensions display, along with the expected discrete Z 2 symmetry, the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999