We find that for arbitrary values of the running parameter \lambda two branches of membrane. The vacuum state of this fivedimensional theory, appropriate for a reduction to fourdimensional supergravity models, is a bps domain wall. Domain wall is a gradual reorientation of individual moments across a finite distance. In a nutshell, the idea is to view our familiar threedimensional expanding universe as a sheet or domain wall, called a 3brane, that moves in a higher dimensional spacetime which may turn out to be truly gigantic. Domain wall a domain wall is a term used in physics which can have one of two distinct but similar meanings in either magnetism or string theory. Gauge fields and matter fields localized on walls norisuke sakai keio univ. Thank you for helping build the largest language community on the internet. Petr horava and edward witten argued that the cancellation of anomalies guarantees that a supersymmetric gauge theory with the e8 gauge group propagates on this domain wall. This discovery provided crucial support for the conjecture that all string theories could.
In theoretical physics, a horava witten domain wall is a type of domain wall that behaves as a boundary of the elevendimensional spacetime in mtheory. Although the idea of the universe as a domain wall was rst suggested in 1983 19, a system of two branes of equal and opposite tension rst received serious attention after the compacti cation of horava witten theory to 5 dimensions 20, 24. Static domain wall in braneworld gravity springerlink. In mtheory, the existence of horava witten domain walls, ends of the world that carry an e8 gauge theory. Hull 88 microscopic description of bh by branes cosmology. Horavawitten theory to phenomenology and cosmology are presented. New formulations of d 10 supersymmetry and d8o8 domain. We show that this fivedimensional theory, together with the domain wall vacuum solution, provides the correct starting point for early universe cosmology in horava witten theory. For example, d8branes are domain walls in type ii string theory. Pdf domain wall solutions to horava gravity carlos. The effective action for fivedimensional heterotic mtheory in the presence of fivebranes is systematically derived from horava witten theory coupled to an m5brane worldvolume theory.
What about the same approach to mtheory on other orbifolds. We show that this theory has an exact threebrane domain wall solution which reduces to witten s deformed calabiyau background upon linearization. The simplest of these solutions naturally involves two 3brane domain. We discuss simple cosmological solutions of horava witten theory describing the strongly coupled heterotic string. One of the phenomenologically most relevant corners of the stringmtheory moduli space is the horava witten theory. Citeseerx fivebranes in heterotic braneworld theories. A crucial ingredient in the reduction is the retention of a nonzero mode of the fourform field strength, leading to the gauging of the universal hypermultiplet by the graviphoton. Mtheory on singular g2 manifolds september 14, 2007 caltech lara b. Assuming isotropic and homogeneous branes, we show that the dynamics of the visible brane affects the hidden brane through gravitational interaction. Citeseerx document details isaac councill, lee giles, pradeep teregowda. In mtheory, the existence of horava witten domain walls, ends of the world that carry a e8 gauge theory, is important for various relations between superstring theory and mtheory. This leads to a fivedimensional n 1 gauged supergravity theory on s 1 z2 coupled to fourdimensional n 1 theories residing on.
It is also shown the behavior of the domain wall gravitational field in the newtonian limit. Witten, heterotic and type i string dynamics from eleven. Cosmology in higher dimensions university of tokyo. These phenomena can all be generically described as topological solitons which occur whenever a discrete symmetry is spontaneously broken.
Petr horava and edward witten argued that the cancellation of anomalies guarantees that a supersymmetric gauge theory with the e8 gauge group propagates on this. The model we consider is a twobrane system with a bulk scalar field satisfying the bogomolnyi. These articles demonstrated that the tendimensional heterotic. The energy of a domain wall is simply the difference between the magnetic moments before and after the domain wall was created. We consider the cosmology of the reduced 5d horava witten mtheory hw with volume modulus and treating matter on the orbifold planes to first order. Low energy effective action for horavawitten cosmology. Listen to the audio pronunciation of horava witten domain wall on pronouncekiwi. Relevant cosmological solutions are those associated with the bps domain wall vacuum.
Also the behavior of the domain wall s gravitational field in the newtonian limit is shown. Finally, a braneworld that acts as a domain wall between two different fivedimensional bulks was considered as a solution to gaussbonnet gravity 19, 33. Cosmological solutions of horavawitten theory inspirehep. We construct exact timedependent solutions of the supergravity equations of motion in which two initially nonsingular branes, one with positive and the other with negative tensi.
Bps domain wall solution can also be identi ed with four dimensional n 1 theory of a stronglycoupled heterotic compacti cation3. D11 supergravity possesses d5 calabiyau compactified solutions that may be identified with the vacua of the horava witten orbifold construction for mtheoryheterotic duality. University of groningen mtheory and gauged supergravities. Another example is the multi domain wall solution 12 which, from the point of view of this paper, is rather degenerate case, since it may more simply be viewed as patches of ads glued together. A domain wall is meant to represent an object of codimension one embedded into space a defect in space localized in one spatial dimension. Gauge field localization in models with large extra dimensions.
Different from the standard achievement obtained in general relativity, the analysis performed here gives a consistency condition for the existence of static domain walls in a braneworld gravitational scenario. As a supersymmetric extension of the randallsundrum model, we consider a 5dimensional horava witten type theory and derive its low energy effective action. In theoretical physics, a horavawitten domain wall is a type of domain wall that behaves as a boundary of the elevendimensional spacetime in mtheory. Type iheterotic duality and mtheory amplitudes pdf. Heterotic mtheory in five dimensions sciencedirect. We discuss solutions of the local anomaly matching conditions by twisted vector, tensor and hypermultiplets confined on the local orbifold sixplanes. In mtheory, the existence of horava witten domain walls, ends of the world that carry a e8 gauge theory, is important for various. Rather, the vacuum state, appropriate for a reduction to fourdimensional supersymmetric models, is a bps domain wall.
We discuss simple cosmological solutions of horavawitten theory describing the strongly coupled heterotic string. The domain wall thickness depends on the anisotropy of the material, but on average spans across around 100150 atoms. Horava is known for his articles written with edward witten about the horava witten domain walls in mtheory. T he past year has witnessed cosmologists and particle physicists working frantically on some of the most audacious ideas yet seen in the field of gravity research. Domain wall a domain wall is a term used in physics which can have one of two distinct but similar meanings in magnetism, optics, or string theory.
The simplest of these solutions naturally involves two 3brane domain walls, which may be identified with the orbifold boundary planes. Cosmological constraints for a two branes system in a. Open and closed cosmological solutions of horavawitten. Ovrut department of physics, university of pennsylvania philadelphia, pa 191046396, usa february 1, 2008 abstract we present three lectures on heterotic mtheory and a fourth lecture extending this theory to more general orbifolds.
Rather, the vacuum state, appropriate for a reduction to four. The static vacuum of the theory is a pair of bps threebrane domain walls. Domainwall supergravities from sphere reduction sciencedirect. Local anomaly cancellation, mtheory orbifolds and phase. In string theory, a domain wall is a theoretical d. Cosmological solutions of horavawitten theory are obtained within the context of the fivedimensional formulation of the theory. Wittenheterotic and type i string dynamics from eleven dimensions. In this paper we consider a static domain wall inside a 3brane. In mtheory, the existence of horava witten domain walls, ends of the world that carry an e8 gauge theory, is important for various relations between superstring theory and mtheory. Static domain wall in the braneworld gravity arxiv vanity. Skip the navigation links home page all pages latest revisions discuss this page feeds. Horava witten theory horava and witten propose that the strong coupling limit.
In these lectures, we present cosmological vacuum solutions of horava witten theory and discuss their physical properties. Horavawitten domain wall wikipedia republished wiki 2. The cosmological solutions of horavawitten theory discovered by lukas, ovrut and waldram are generalized to allow non vanishing spatial curvature. Differently of the standard achievement obtained in general relativity, the analysis performed here gives a consistency condition for the existence of static domain walls in a braneworld gravitational scenario.
1174 650 448 522 937 629 78 724 839 885 439 1403 979 1222 548 990 1306 723 1445 752 134 1152 996 1258 493 17 480 715 245 405 855 439 391 268 1277 551 909 1045 340 418 396 647