Gravity thaws the frozen moduli of the CP 1 lump
نویسندگان
چکیده
The slow motion of a self-gravitating CP 1 lump is investigated in the approximation of geodesic flow on the moduli space of unit degree static solutions M1. It is found that moduli which are frozen in the absence of gravity, parametrizing the lump’s width and internal orientation, may vary once gravitational effects are included. If gravitational coupling is sufficiently strong, the presence of the lump compactifies physical space, and the moduli determining the boundary value of the CP 1 field thaw also. Explicit formulae for the metric on M1 are found in both the weak and strong coupling regimes. The geodesic problem for weak coupling is studied in detail, and it is shown that M1 is geodesically incomplete. This leads to the prediction that self-gravitating lumps are unstable.
منابع مشابه
ar X iv : h ep - t h / 97 07 10 1 v 1 1 0 Ju l 1 99 7 Lump dynamics in the C P 1 model on the torus
The topology and geometry of the moduli space, M2, of degree 2 static solutions of the CP 1 model on a torus (spacetime T 2 × R) are studied. It is proved that M2 is homeomorphic to the left coset space G/G0 where G is a certain eight-dimensional noncompact Lie group and G0 is a discrete subgroup of order 4. Low energy two-lump dynamics is approximated by geodesic motion on M2 with respect to a...
متن کاملLow-energy dynamics of a CP 1 lump on the sphere
Low-energy dynamics in the unit-charge sector of the CP 1 model on spherical space (space-time S × R) is treated in the approximation of geodesic motion on the moduli space of static solutions, a sixdimensional manifold with non-trivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full field...
متن کاملNon-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
We find half-BPS vortex solitons, at both weak and strong coupling, in the N = 6 supersymmetric mass deformation of ABJM theory with U(N) × U(N) gauge symmetry and Chern-Simons level k. The strong coupling gravity dual is obtained by performing a Zk quotient of the N = 8 supersymmetric eleven dimensional supergravity background of Lin, Lunin and Maldacena corresponding to the mass deformed M2-b...
متن کاملar X iv : h ep - t h / 97 12 08 9 v 1 1 0 D ec 1 99 7 Low - energy dynamics of a C P 1 lump on the sphere
Low-energy dynamics in the unit-charge sector of the CP 1 model on spherical space (space-time S 2 × R) is treated in the approximation of geodesic motion on the moduli space of static solutions, a six-dimensional manifold with non-trivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full fi...
متن کاملEffect of thawing rate and cold post-thaw temperatures on bovine semen packaged in glass ampules.
Experiment I was designed to test the effect of thaw rate on semen packaged in glass ampules. One ejaculate from each of 10 Holstein bulls was diluted in egg yolk-citrate-glycerol, packaged in 1.0 ml glass ampules and frozen in liquid nitrogen vapor. Water bath thaws of 5 C for 10 rain, 20 C for 4 rain, 35 C f o r 4 min, 50 C for 75 sec, 65 C f o r 4 8 sec, 80 C for 37 sec and 100 C for 20 sec ...
متن کامل