Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-20
Nucl.Phys.B508:147-180,1997
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, LaTex, epsf, 8 figures (using 18.eps files), a version with figures of higher quality is available at http://www-l
Scientific paper
10.1016/S0550-3213(97)00528-2
We study critical points of the BPS mass $Z$, the BPS string tension $Z_m$, the black hole potential $V$ and the gauged central charge potential $P$ for M-theory compactified on Calabi-Yau three-folds. We first show that the stabilization equations for $Z$ (determining the black hole entropy) take an extremely simple form in five dimensions as opposed to four dimensions. The stabilization equations for $Z_m$ are also very simple and determine the size of the infinite $adS_3$-throat of the string. The black hole potential in general exhibits two classes of critical points: supersymmetric critical points which coincide with those of the central charge and non-supersymmetric critical points. We then generalize the discussion to the entire extended K\"ahler cone encompassing topologically different but birationally equivalent Calabi-Yau three-folds that are connected via flop transitions. We examine behavior of the four potentials to probe the nature of these phase transitions. We find that $V$ and $P$ are continuous but not smooth across the flop transition, while $Z$ and its first two derivatives, as well as $Z_m$ and its first derivative, are continuous. This in turn implies that supersymmetric stabilization of $Z$ and $Z_m$ for a given configuration takes place in at most one point throughout the entire extended K\"ahler cone. The corresponding black holes (or string states) interpolate between different Calabi-Yau three-folds. At the boundaries of the extended K\"ahler cone we observe that electric states become massless and/or magnetic strings become tensionless.
Chou Aaron
Kallosh Renata
Rahmfeld Joachim
Rey Soo-Jong
Shmakova Marina
No associations
LandOfFree
Critical Points and Phase Transitions in 5D Compactifications of M-Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical Points and Phase Transitions in 5D Compactifications of M-Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Points and Phase Transitions in 5D Compactifications of M-Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-217302