Multibrane Inflation and Dynamical Flattening of the Inflaton Potential

We investigate the problem of fine tuning of the potential in the KKLMMT warped flux compactification scenario for brane-antibrane inflation in Type IIB string theory. We argue for the importance of an additional parameter psi_0 (approximated as zero by KKLMMT), namely the position of the antibrane, relative to the equilibrium position of the brane in the absence of the antibrane. We show that for a range of values of a particular combination of the Kahler modulus, warp factor, and psi_0, the inflaton potential can be sufficiently flat. We point out a novel mechanism for dynamically achieving flatness within this part of parameter space: the presence of multiple mobile branes can lead to a potential which initially has a metastable local minimum, but gradually becomes flat as some of the branes tunnel out. Eventually the local minimum disappears and the remaining branes slowly roll together, with assisted inflation further enhancing the effective flatness of the potential. With the addition of Kahler and superpotential corrections, this mechanism can completely remove the fine tuning problem of brane inflation, within large regions of parameter space. The model can be falsified if future cosmic microwave background observations confirm the hint of a large running spectral index.Comment: 13 pages, 15 figures; added references; added new section about potential destabilization of compactification by multiple branes; published versio

Flow of liquids in pipes of circular and annular cross-sections

Cover title.Prepared as part of an investigation conducted by the Engineering Experiment Station, University of Illinois at Urbana-Champaign

Applications of Two Body Dirac Equations to Hadron and Positronium Spectroscopy

We review recent applications of the Two Body Dirac equations of constraint dynamics to meson spectroscopy and describe new extensions to three-body problems in their use in the study of baryon spectroscopy. We outline unique aspects of these equations for QED bound states that distinguish them among the various other approaches to the relativistic two body problem. Finally we discuss recent theorectial solutions of new peculiar bound states for positronium arising from the Two Body Dirac equations of constraint dynamics, assuming point particles for the electron and the positron.Comment: Invited talk: CST-MISC joint international symposium on particle physics - From spacetime dynamics to phenomenology - Tokyo, March 15-16, 201

Kaluza-Klein relics from warped reheating

It has been suggested that after brane-antibrane inflation in a Klebanov-Strassler (KS) warped throat, metastable Kaluza-Klein (KK) excitations can be formed due to nearly-conserved angular momenta along isometric directions in the throat. If sufficiently long-lived, these relics could conflict with big bang nucleosynthesis or baryogenesis by dominating the energy density of the universe. We make a detailed estimate of the decay rate of such relics using the low energy effective action of type IIB string theory compactified on the throat geometry, with attention to powers of the warp factor. We find that it is necessary to turn on SUSY-breaking deformations of the KS background in order to ensure that the most dangerous relics will decay fast enough. The decay rate is found to be much larger than the naive guess based on the dimension of the operators which break the angular isometries of the throat. For an inflationary warp factor of order $w\sim 10^{-4}$, we obtain the bound M_{3/2} \gsim 10^9 GeV on the scale of SUSY breaking to avoid cosmological problems from the relics, which is satisfied in the KKLT construction assumed to stabilize the compactification. Given the requirement that the relics decay before nucleosynthesis or baryogenesis, we place bounds on the mass of the relic as a function of the warp factor in the throat for more general warped backgrounds.Comment: 30 pages, 7 figures. Added analysis and discussions to address the referees concerns: explored the effects of different IR boundary conditions, clarified the role of the simplified toy model, discussed the dominant SUSY-preserving decay route (but still conclude the SUSY-breaking one is faster). All original conclusions still hol

Recent Legal Literature

Wigmore: A Treatise on the System of Evidence in Trials at Common Law including the Statutes and Judicial Decisions of all Jurisdiction of the United States; Snyder: The Interstate Commerce Act and Federal Anti-Trust Laws, including the Sherman act, the act creating the Bureau of Corporations, the Elkins act, the act to expedite suits in the Federal courts, act relating to telegraph, military, and post roads, act affecting equipment of cars and locomotives of carriers engaged in interstate commerce, with all amendments, with comments and authorities, and rules of practice and forms used in practice before the Interstate Commerce Commission; Hughes: Handbook of Jurisdiction and Procedure in United States Courts; Gould: the National Bank Act, with all its amendments annotated and explained; Longsdorf (ed.): Current Law, A Complete Encyclopedia of New La

Hawaiian Plumerias

Reprint June 1972The plumeria is an important ornamental tree in Hawaii as well as in Florida, the West Indies, Central America, India, China, Indonesia, Australia, islands of the Pacific basin, and some other tropical regions. This booklet covers all aspects of plumeria cultivation in Hawaii

Municipalities and University Athletic Departments: The Collaborative Funding of Capital Improvement Projects

This panel takes three papers and details how municipalities and universities can collaborate, develop, and market policies that subsidize collegiate athletic capital improvement projects and improve both groups. Each paper uses either resource dependency theory or interpretive policy analysis as theoretical frameworks to explore how local governments and universities can add value to their environments, while improving the lives of their constituents. While this kind of community project is not new the difficulties rest in getting people to agree to an additional tax levy. Each paper on this panel communicates the multiple advantages and disadvantages associated with approving and marketing athletic capital improvement projects in a community