Hopf fibration of eleven-dimensional super gravity pdf

Spectrum of elevendimensional supergravity on a ppwave background kek hepth0307193, to appear in phys. Breathing mode compactifications and supersymmetry of the brane. Someone unable to detect ramondramond charge would thus conclude that these worlds have no unbroken supersymmetry. It was in fact the first supergravity theory to be constructed in dimensions higher than four. Phdthis thesis deals with the two duality symmetries of n 2 d 10 supergravity\ud theories that are descendant from the full superstring theory. Superstrings, geometry, topology and calgebras pdf free. Consistent type iib reductions to maximal 5d supergr avity. The structural foundations of quantum gravity pdf free download.

In particular two classical solutions are explicitly obtained for the hopffibering of s 7 in the elevendimensional supergravity. The idea would be to seek everywhere smooth solutions of eleven dimensional supergravity that resemble two domain walls at the ends of a finite interval. We propose the exact smatrix for the planar limit of the 6 super chernsimons theory recently proposed by aharony. The hopf fibration as a purely mathematical idea has been around since 1931 when it allowed hopf 1 to determine the third homotopy group of the 2sphere and to show, in particular, that this group is nontrivial, by exhibiting a suitable map from the 3sphere to the 2sphere and the fibration of the 3sphere related to it. Euclidean statistics are often generalized to riemannian manifolds by replacing straightline interpo. In this thesis we study hidden symmetries within the framework of string theory. Apr 09, 2012 a portrait of eleven dimensional supergravity. The greenschwarz sigmamodeltype formulation of the supermembrane in 11d as in the brane scan first appears in. The odddimensional spheres can be viewed as hopf fibrations over complex. In theoretical physics, supergravity is a modern field theory that combines the principles of. Spacetime holography and the hopf fibration article pdf available in foundations of physics letters 182. Eric bergshoeff, ergin sezgin, and paul townsend, supermembranes and elevendimensional supergravity, phys.

We discuss a spontaneous compactification scheme of elevendimensional supergravity on the exotic spheres. Englert, f spontaneous compactification of elevendimensional supergravity. All symmetric adsn2 solutions of typeii supergravity. Physics solutions to yangmills field equations in eight dimensions. Keeler berkeley center for theoretical physics and department of physics, university of california, berkeley, ca 947207300, usa theoretical physics group, lawrence berkeley national laboratory berkeley, ca 947208162, usa received 31 december 2005. New compactifications of eleven dimensional supergravity. It is of interest to see if one can do better with the other possible supergravity in ten dimensions, namely n 2. In the mathematical field of differential topology, the hopf fibration also known as the hopf bundle or hopf map describes a 3sphere a hypersphere in fourdimensional space in terms of circles and an ordinary sphere. The structural foundations of quantum gravity pdf free.

This cited by count includes citations to the following articles in scholar. In this case, the higherdimensional theory is not simply. This was discussed in the context of domain walls based on the urheisenberg group in ref. The resulting theories were sometimes referred to as kaluzaklein theories as kaluza and klein constructed in 1919 a 5dimensional gravitational theory, that when dimensionally reduced on a circle, its 4dimensional nonmassive modes describe electromagnetism coupled to gravity. They are obtained from the spherically compactified ten and eleven dimensional theories by either hopf reduction or. The construction of a realistic model of particle interactions within the n 1 supergravity framework where supersymmetry susy breaks by a super higgs mechanism carried out by ali chamseddine, richard arnowitt and pran nath in 1982. Symmetric spaces provide the simplest class of supergravity solutions since for these the super gravity equations become algebraic. Superstrings, geometry, topology and calgebras pdf. We present a new class of \ \mathcaln4 \ supersymmetric quiver matrix models and argue that it describes the stringy lowenergy dynamics of internally wrapped dbranes in fourdimensional antide sitter ads flux compactifications. Standard elevendimensional supergravity 32 is an n1 supersymmetric extension of einsteinhilbert gravity that cannot accommodate a cosmological constant 33, 34. Discussion of compactification along the fibration s 1 s 7. Nasa astrophysics data system ads chervonyi, iurii. Instanton cosmology and domain walls from mtheory and string. Full text of quantum algebraic topology and symmetry.

Hopf fibration of elevendimensional supergravity iopscience. For the type iib solutions our analysis agrees with that of 3 which found all the iib solutions except the general form of solutions 21 and 22 in table 4 and which did not analyze their supersymmetries. Squashing gravity dual of n6 superconformal chernsimons. Hopf fibration of elevendimensional supergravity supergravities in. Theres one more royal family that is, in some sense, comparably fundamental as the family descended from the ten dimensional supersymmetric gauge theory. Spectrum of elevendimensional supergravity on a ppwave. If the address matches an existing account you will receive an email with instructions to reset your password. Discovered by heinz hopf in 1931, it is an influential early example of a fiber bundle. Even though the elevendimensional gravity is just a lowenergy limit of the full stringmtheory, it and its compactifications already knows quite something about the wisdom of stringmtheory in its most symmetric incarnation.

The induced metric on y is a weak g2 metric and is in fact the squashed sevensphere that we need. Elevendimensional supergravities on maximally supersymmetric. In the case presented here, the extensions to larger n are straightforward in any dimension. This additional family of theories has 32 real supercharges and not just 16 of them. Volume 4b, number 1,2 physics letters supergravity on seven dimensional homotopy spheres kengo yamagishi department of physics, osaka university, toyonaka 560, japan received 23 may 1983 revised manuscript received 18 july 1983 5 january 1984 we discuss a spontaneous compactification scheme of eleven dimensional supergravity on the exotic spheres e7 and on the ordinary s7 with the hopf fibering. Similarly, in exceptional field theory maximal super gravity is reformulated on an extended higherdimensional space that renders the theory covariant with respect to the exceptional uduality groups in the series e d. Hopf fibration of elevendimensional supergravity b e w nilsson and c n popethis content was downloaded from ip address 207. Pdf kekth14 coset for hopf fibration and squashing. The structural foundations of quantum gravity edited by dean rickles, s t ev e n f r e n c h, and j u h a s a ats i clarendon press oxford 1 great clarendon street, oxford oxford university press is a department of the university of oxford. All symmetricadsn2 solutions of typeii supergravity. We present fourdimensional mtheory vacua with n 0 supersymmetry which, from the perspective of perturbative type iia string theory, have n 0. The main goal of this paper is then to present a formulation of the 11 dimensional supergravity as a constrained topological. Massive quiver matrix models for massive charged particles in ads.

The lagrangians of these models differ from previously studied quiver matrix models by the presence of mass terms, associated with the ads. The hopf fibrationseven times in physics sciencedirect. In addition, there is a duality, known as the adscft correspondence, between type iib string theory on s 5. Eleven dimensional supergravity as a constrained topological. Bengt nilsson, christopher pope, hopf fibration of elevendimensional supergravity, class. We describe a new firstorder formulation of d11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange multiplier term.

In the next section we introduce an 11 dimensional topological. After discussing the inherent difficulties with constructing a maximally supersymmetric lagrangian with the appropriate field content and symmetries, we introduce 3algebras and. Instanton cosmology and domain walls from mtheory and. By a symmetric supergravity solution we mean that the. One of the motivations of these authors was to reduce dimensionally the d 11 super gravity down to d 4 on a 7torus to obtain the complete d 4, n 8 supergravity. Classification of arnoldbeltrami flows and their hidden symmetries. Kekth14 coset for hopf fibration and squashing article pdf available in classical and quantum gravity 2622 june 2009 with 44 reads how we measure reads. Scribd is the worlds largest social reading and publishing site. We present four dimensional mtheory vacua with n 0 supersymmetry which, from the perspective of perturbative type iia string theory, have n 0.

Spectrum of eleven dimensional supergravity on a ppwave background kek hepth0307193, to appear in phys. Massive quiver matrix models for massive charged particles in. After discussing the inherent difficulties with constructing a maximally supersymmetric lagrangian with the appropriate field content and symmetries, we introduce 3algebras and show how they allow for such a description. Thermodynamics of noncritical mtheory and the topological amodel petr horava, cynthia a. We show that all known solutions of the n 2 nonchiral d 10 supergravity theory can, by a simple procedure, be obtained from the known freundrubin type solutions. Ads 5 ads 5 is antide sitter space, a 5dimensional lorentz manifold with a metric of constant negative curvature and 4dimensional super yangmills on s 4 in the largen limit 21. The higher structure of 11dimensional supergravity nlab. By continuing to use this site you agree to our use of cookies. It was realized only much later that this fibration. Such vacua can appear when the compactifying 7manifold is a u1 fibration. Standard eleven dimensional supergravity 32 is an n1 supersymmetric extension of einsteinhilbert gravity that cannot accommodate a cosmological constant 33, 34. Squashing gravity dual of n6 superconformal chernsimons gauge theory. To find out more, see our privacy and cookies policy.

S7 solution elevendimensional supergravity was provided by the. An essential distinction between branes and planes is that the former carry yangmills gauge fields on their worldvolume, and have moduli for their locations, while the latter do. The ones marked may be different from the article in the profile. The initial excitement over 11dimensional supergravity soon waned. Hopf fibration of elevendimensional supergravity inspire. Massive quiver matrix models for massive charged particles. The direct motivation for this work was the demonstration 6 that n 1 super gravity in ten dimensions coupled to n 1 yangmills does not undergo spontaneous compactification to m4 x bdat least at the tree level. We further discuss about the crucial role played by the 1form spinor.

Hopf fibration of elevendimensional supergravity b e w nilsson and c n pope the blackett laboratory, imperial college, london sw7 2bz, uk received june 1984 abstract. This problem appears to be difficult in full elevendimensional mtheory. The idea would be to seek everywhere smooth solutions of elevendimensional supergravity that resemble two domain walls at the ends of a finite interval. In the case of elevendimensional supergravity this was carried out in 1, completing earlier work. The partition functions are related to the large nc.