Topic
Moduli
About: Moduli is a research topic. Over the lifetime, 6183 publications have been published within this topic receiving 221361 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
Abstract: Variational principles in the linear theory of elasticity, involving the elastic polarization tensor, have been applied to the derivation of upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry. When the ratios between the different phase moduli are not too large the bounds derived are close enough to provide a good estimate for the effective moduli. Comparison of theoretical and experimental results for a two-phase alloy showed good agreement.
5,224 citations
TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Abstract: The title problem concerns two isotropic phases firmly bonded together to form a mixture with any concentrations. An elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli. The approach is completely general and exact. Additionally, the problem is fully solved when the phases have equal rigidities but different compressibilities, the geometry being entirely arbitrary.
4,141 citations
Book•
03 Mar 1992
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
Abstract: The first edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess. Since the appearance of the first edition much work has been done on the development of phenomenological models of particle behavior based on the supergravity multiplet. Some experimental searches have been carried out and others are planned for the future. For this reason the second edition of the book goes substantially beyond the first. Six new chapters have been added for a total of twenty-six and five new appendices for a total of seven. The new chapters and appendices are primarily aimed at deriving the most general supersymmetric gauge invariant theory of chiral fields interacting with supergravity and expressing it in component form. The book is divided into three sections. After a brief introduction, the first part of the book deals with a description of N=1 supersymmetric non-abelian rigid gauge theory of chiral fields. The second part of the book develops a local supersymmetric theory which is supergravity. The final part describes the coupling of supersymmetric chiral fields to supergravity in a gauge invariant way. The book may be recommended as a pedagogical introduction tomore » the theory of N=1 supergravity. Together with the appendices is is completely self-contained, both in notation and in the concepts used, requiring only some knowledge of field theory as a background.« less
3,834 citations
TL;DR: In this article, the action and transformation laws of supergravity in 11 dimensions were presented, which is expected to be closely related to the O(8) theory in 4 dimensions after dimensional reduction.
1,654 citations
TL;DR: In this article, the authors investigate the embedding of brane inflation into stable compactifications of string theory and conclude that brane inflaton can only work if restrictive assumptions about the method of volume stabilization, the warping of the internal space, and the source of inflationary energy are satisfied.
Abstract: We investigate the embedding of brane inflation into stable compactifications of string theory. At first sight a warped compactification geometry seems to produce a naturally flat inflaton potential, evading one well known difficulty of brane?antibrane scenarios. Careful consideration of the closed string moduli reveals a further obstacle: superpotential stabilization of the compactification volume typically modifies the inflaton potential and renders it too steep for inflation. We discuss the non-generic conditions under which this problem does not arise. We conclude that brane inflation models can only work if restrictive assumptions about the method of volume stabilization, the warping of the internal space, and the source of inflationary energy are satisfied. We argue that this may not be a real problem, given the large range of available fluxes and background geometries in string theory.
1,406 citations