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Register a new userEffective action of a five-dimensional domain wall
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We calculate the four-dimensional low-energy effective action for the perturbations of a two-scalar domain wall model in five dimensions. Comparison of the effective action to the Nambu-Goto action reveals the presence of an additional coupling between the light scalar field and the massless translation mode (branon excitation), which can be written in terms of the curvature scalar of the induced metric. We comment on the impact of this interaction to branon physics.
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We discuss 1/2 BPS domain walls in the 3d $mathcal N=4$ supersymmetric gauge theory which is self-dual under the 3d mirror symmetry. We find that if a BF-type coupling is introduced, invariance of the BPS domain wall under the duality transformation can be explicitly seen from the classical BPS equations. It has been known that particles and vortices are swapped under the 3d duality transformations. We show that Noether charges and vortex topological charges localized on the domain walls are correctly exchanged under the 3d mirror symmetry.
We consider the one-loop five-graviton amplitude in type II string theory calculated in the light-cone gauge. Although it is not possible to explicitly evaluate the integrals over the positions of the vertex operators, a low-energy expansion can be obtained, which can then be used to infer terms in the low-energy effective action. After subtracting diagrams due to known D^{2n}R^4 terms, we show the absence of one-loop R^5 and D^2R^5 terms and determine the exact structure of the one-loop D^4R^5 terms where, interestingly, the coefficient in front of the D^4R^5 terms is identical to the coefficient in front of the D^6R^4 term. Finally, we show that, up to D^6R^4 ~ D^4R^5, the epsilon_{10} terms package together with the t_8 terms in the usual combination (t_8t_8pm{1/8}epsilon_{10}epsilon_{10}).
Backreaction of excitations on a planar domain wall in a real scalar field model is investigated in the cases of homogeneous, plane wave and wave packet type excitations. It is found that the excited domain wall radiates. The method of calculating backreaction for the general forms of excitations is also presented.
We consider here the interaction of scalar bosons with a topological domain wall. Not only is there a continuum of scattering states, but there is also an interesting quasi-discretuum of positive energy bosonic bound states, describing bosons entrapped within the walls core. The full spectrum of the scattering and bound state energies and eigenstates is obtainable from a Schrodinger-type of equation with a Poschl-Teller potential. We also consider the presence of a boson gas within the wall and high energy boson emission.
In the presence of a confining flux tube between a pair of sources the vacuum is no longer Poincare invariant. This symmetry is nonlinearly realized in the effective string action. A general method for finding a large class of Lorentz invariant contributions to the action is described. The relationship between this symmetry and diffeomorphism invariance is further investigated.
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