CAREER: Topics in String Compactifications

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String theory has emerged as a leading candidate for a quantum theory of gravity, i.e., atheory that encompasses both quantum mechanics and Einstein?s theory of generalrelativity. A remaining challenge is the identification of the appropriate set of backgroundconditions relevant to the formation of our universe, i.e., compactifying the tendimensional string theory (or eleven-dimensional M theory/supergravity) can lead to a very large number of (non-)supersymmetric four dimensional vacua. The projects outlined in this proposal address two important aspects of string compactifications. On one hand, the PI will study how in the context of fluxcompactifications one can find vacua which exhibit Standard Model like spectra. He willalso use constraints from cosmology, such as the cosmic microwave background, to putrestrictions on the inflationary type potentials obtained from string theory. The secondapproach will be made in studying black hole physics in terms of four- andfive-dimensional BPS solutions. This will provide importantinformation in trying to understand the black hole information puzzle. This proposal isvery timely since, during the course of the next few years, the Large Hadron Collider(LHC) at CERN will start running, which will provide interesting information of whatoccurs beyond the Standard Model. Furthermore, more accurate observations of thecosmic microwave background using the PLANCK satellite, will provide even tighterconstraints on the possibleinflationary scenarios arising in string theory.The goal of the project outlined in this proposal is two-fold: (1) facilitate the continuationand expansion of a research program in theoretical particle physics, with emphasis onstring theory, at the University of New Hampshire (UNH), and (2) develop a strongoutreach program taking the frontiers of particle physics into local high schools, thatnurtures the excitement young people have for science in general, while promotingphysics in particular. Results from the proposed work will be of interest to severalsectors of the mathematics and physics community. Thus, this project will fostercollaborations andintellectual exchange between UNH physicists and mathematicians and those fromneighboring, as well as national and international, institutions. The program willcapitalize on the existing infrastructure at the University of New Hampshire forinteractions with high schools and bring cutting-edge science into local high schools.Specifically, the PI will work with the NSF supported Partnerships for ResearchOpportunities to Benefit Education (PROBE)program to organize workshops at UNH forhigh school teachers, visit local high schools in order for both teachers and students tobe able to answer questions, and allow interested high school students to visit UNH tolearn about research in theoretical particle physics. The PIwill also participate in a summer program for high school students at UNH, ProjectSMART,(Science and Mathematics Achievement through Research Training) anddevelop enrichment lectures and activities in Particle Physics and Cosmology for thesehigh school students.