TY - BOOK

T1 - String effective actions, dualities, and generating solutions

AU - Chemissany, Wissam Ali

N1 - date_submitted:2008
Rights: University of Groningen

PY - 2008

Y1 - 2008

N2 - This thesis covers in general two separate topics: the string e®ective actions and the
geodesic motion of brane solutions.
The main theme of the ¯rst topic, i.e., the string e®ective actions, is the construction of
the abelian D-brane e®ective action. In the limit of constant ¯eld strengths this action is
known as the Born-Infeld action. In this thesis we propose a new method for constraining
the four dimensional D-brane e®ective action and applied to the abelian case with derivative
corrections. The method is based on the electromagnetic duality invariance. We show that
selfduality requirement only constrains the derivative corrections terms to the Born-Infeld
theory but not determines them.
In the second topic of this thesis we consider the geodesic motion on the symmetric
moduli spaces that arise after timelike and spacelike reductions of (super)gravity theories.
The geodesics correspond to timelike respectively spacelike p-brane solutions when they are
lifted over a p-dimensional °at space. In particular, we consider the problem of constructing
the minimal generating solution : a geodesic with the minimal number of free parameters
such that all other geodesics are generated through isometries G: This way we ¯nd the
most general °uxless Sp-brane solution of Einstein gravity with (deformed) worldvolume
via the reduction over an Euclidean torus. In case we reduce over a Lorentzian torus, the
target space becomes a pseudo-Riemannian G=H¤ with H¤ is a non-compact real form.
Correspondingly, the geodesic solutions on G=H¤ are labeled by the sign of the a±ne
velocity jjvjj2: We derive the generating solution for cosets GL(r + s)=SO(r; s); and give
the Einstein vacuum solutions that can be obtained from uplifting a SL(n;R)=SO(n¡1; 1)
stationary (¡1)-brane solution.

AB - This thesis covers in general two separate topics: the string e®ective actions and the
geodesic motion of brane solutions.
The main theme of the ¯rst topic, i.e., the string e®ective actions, is the construction of
the abelian D-brane e®ective action. In the limit of constant ¯eld strengths this action is
known as the Born-Infeld action. In this thesis we propose a new method for constraining
the four dimensional D-brane e®ective action and applied to the abelian case with derivative
corrections. The method is based on the electromagnetic duality invariance. We show that
selfduality requirement only constrains the derivative corrections terms to the Born-Infeld
theory but not determines them.
In the second topic of this thesis we consider the geodesic motion on the symmetric
moduli spaces that arise after timelike and spacelike reductions of (super)gravity theories.
The geodesics correspond to timelike respectively spacelike p-brane solutions when they are
lifted over a p-dimensional °at space. In particular, we consider the problem of constructing
the minimal generating solution : a geodesic with the minimal number of free parameters
such that all other geodesics are generated through isometries G: This way we ¯nd the
most general °uxless Sp-brane solution of Einstein gravity with (deformed) worldvolume
via the reduction over an Euclidean torus. In case we reduce over a Lorentzian torus, the
target space becomes a pseudo-Riemannian G=H¤ with H¤ is a non-compact real form.
Correspondingly, the geodesic solutions on G=H¤ are labeled by the sign of the a±ne
velocity jjvjj2: We derive the generating solution for cosets GL(r + s)=SO(r; s); and give
the Einstein vacuum solutions that can be obtained from uplifting a SL(n;R)=SO(n¡1; 1)
stationary (¡1)-brane solution.

KW - Proefschriften (vorm)

KW - Snaartheorie, Kwantumveldentheorie, Relativiteitstheorie, St

KW - IJktheorieën, Supergravitatie

KW - speciale theorieën bij extreem hoge energieën

M3 - Thesis fully internal (DIV)

SN - 9789036734394

PB - s.n.

ER -