Complete Solution for M(atrix) Theory at Two Loops

The complete result for the effective potential for two graviton exchange at two loops in M(atrix) theory can be expressed in terms of a generalized hypergeometric function.Comment: 4 pages, TeX, no figure

Compactifying M-Theory to Four Dimensions

We consider compactifications of ${\cal M}$-theory to four-dimensional Minkowski space on seven-dimensional non-compact manifolds. These compactifications include a warp factor which is non-constant due to the presence of sources coming from fivebranes wrapping two-dimensional submanifolds of the internal seven-dimensional space. We derive the expression for the field strengths and consider an explicit example of this general class of solutions.Comment: 15 pages, TeX, no figures, references adde

Graviton scattering amplitudes in M theory

We compute graviton scattering amplitudes in M theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange, that in M(atrix) theory correspond to the v^4/r^7 and v^6/r^14 term, respectively. We argue that the v^6/r^14 term appearing in M(atrix) theory at two loops can be obtained from the covariant eleven-dimensional four-graviton amplitude. Finally, we calculate the v^8/r^18 term appearing at two loops in M(atrix) theory. It has been previously conjectured that this term is related to a four graviton scattering amplitude involving the R^4 vertex of M theory

Kaluza-Klein Theories Without Truncation

In this note we present a closed expression for the space-time effective action for all bosonic fields (massless and massive) obtained from the compactification of gravity or supergravity theories (such as type II or eleven-dimensional supergravities) from $D$ to $d$ space-time dimensions.Comment: 20 page

Adequacy of Current Succession Law in Light of the Constitution and Policy Considerations

In this article, Gerald R. Ford’s counsel during Ford’s confirmation to the vice presidency under the Twenty-Fifth Amendment recounts the process, including investigations into Ford as part of the process and the confirmation hearings in the Senate and House of Representatives. The Article also discusses aspects of Ford’s tenure as Vice President, particularly efforts by White House officials to enlist Ford in defending President Richard Nixon amid the Watergate scandal and Ford’s response to those efforts. The Article is adapted from the author’s remarks at the symposium The Adequacy of the Presidential Succession System in the 21st Century, which was held at Fordham University School of Law on April 16 and 17, 2010

Bicycle Urbanism, Blog 1

Student blog posts from the Great VCU Bike Race Book