Aspects of branes in (heterotic) M-theory [Elektronische Ressource] / von Matthias Brändle

Aspects of branes in (heterotic) M-theoryD I S S E R T A T I O Nzur Erlangung des akademischen Gradesdoctor rerum naturalium(Dr. rer. nat.)im Fach Physikeingereicht an derMathematisch-Naturwissenschaftlichen Fakultat¨ IHumboldt-Universit¨at zu BerlinvonHerr Dipl.-Phys. Matthias Br¨andlegeboren am 17.12.1973 in BaselPr¨asident der Humboldt-Universit¨at zu Berlin:Prof. Dr. Jur¨ gen MlynekDekan der Mathematisch-Naturwissenschaftlichen Fakult¨at I:Prof. Dr. Michael LinscheidGutachter:1. Prof. Dr. Dieter Lust¨2. Prof. Dr. Albrecht Klemm3. Dr. Klaus Behrndteingereicht am: 19. Februar 2003Tag der mundlic¨ hen Prufung:¨ 4. Juli 2003AbstractFirstashortintroductiontoprinciplesandsomerecentdevelopmentsinstringtheoryis given.In a second part the effective action for five- as well as four-dimensional heteroticM-theory in the presence of five-branes is systematically derived from Hoˇrava-Wittentheory coupled to N separate M5-brane world-volume theories. The five-dimensionaltheory is obtained by compactification on a Calabi-Yau three-fold, where we allowfor an arbitrary number of K¨ahler and complex structure moduli. This leads to a1five-dimensionalN = 1 gauged supergravity theory on the orbifold S /Z , coupled2to four-dimensionalN = 1 theories residing on the two orbifold fixed planes andN additional three-branes. We analyze some properties of this action, including thequaternionic structure of the hypermultiplet sector and its relation to the gaugedisometry.