In theoretical physics, supergravity is a modern field theory that combines the principles of supersymmetry and general relativity. Gravity duals of 5d n 2 sym from f 4 gauged supergravity by parinya karndumri download pdf 206 kb. Moreover, we want to stress the similarity of gravity as gauge theory with the group gl 4 to usual yangmills theories. Gauge gravity an indirect way of observing quantum gravity e ects is via the gauge gravity correspondence, which relates quantum eld theories and quantum gravity. Then the attention is focused on some integrability properties of minimal gauged super gravity in d 4 6 and einsteinmaxwelllambda system in ddimensions 7. In our formalism we maintain a composite local usp8 symmetry analogous to su8 in four dimensions. What can gaugegravity duality teach us about condensed. We repeat the analysis in the presence of a wilson loop insertion and find again a perfect. Gauged supergravity is a very valuable tool in the study of holographic rg. We start here with yangmills instantons, describing the moduli space of solutions, the adhm construction, and applications to supersymmetric.
When kept uptodate, your sign will tell people when they can bounce around in low gravity, or if they should stay home when gravity is unbearable. General matter coupled n 4 gauged supergravity in five. It is not a fundamental theory if we include supersymmetry in a theory of gravity. Induced and effective gravity theories in d 2 inspirehep. Gravity pdf can be run on most shared web hosting without any issues. In this paper, i provide an overview of the development and use of this equation. Theories of supergravity in dimension l gauge field connection on a bundle with coefficients in that group these are called gauged. These conditions also determine the form of the gauge groups to be so1,1. Einsteinyangmillsmatters application to ads4cmp3 correspondence quite far from current stage tetsuji kimura. Arbitrary super extensions of d 2 gravity are then analyzed. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 18 of the supersymmetries and.
Reductions of 11dimensional supergravity on a 4dimensional space to a 7dimensional theory. It turns out that at the equation of motion level both the above supergravities are equivalent upto certain eld rede nitions and duality relations. New nonabelian solutions in d4, n4 gauged supergravity. All purchases have a 7day 100% money back guarantee. These two kk interpretations are essentially the same upto consistent truncations. General relativity has its own invariance group, the di. If one of the free pdf templates arent working for you, try a premium template instead.
Use the gravity gauge sign to display the current days gravity forecast. Gravity gauge theory2 stringtheory inspired klt relations bulk gravity boundary gauge theory colorkinematic duality adscft correspondence gravity as gauge theory of poincare group gravity su2 gauge theory. Aei2009065 conformal invariance from nonconformal gravity. First and second order formulation of gravity n1 global supersymmetry in d4.
Focussing then on the f ix0x1 model, which contains a single. Another interesting aspect 21 which should be implied by uv finiteness of n 8, 6, 5 n 8, 6, 5 supergravity in d 4 d 4 dimensions is that their gauged versions should be possibly uv finite, as well. Vaul a1 1 dipartimento di fisica, politecnico di torino, corso duca degli abruzzi 24, i10129 torino. Supersymmetric ads5 black holes and strings from 5d n 4. Potential and massmatrix in gauged n 4 supergravity. In four spacetime dimensions, n8 supergravity is the most symmetric quantum field theory which involves gravity and a finite number of fields. N8 supergravity is the most symmetric quantum field theory which involves gravity and a finite number of fields. A new static partially twisted solution of n 4, so 4 gauged supergravity in d 11 is obtained in this work using cvetic et al embedding of four dimensional into eleven dimensional supergravities. Pdf n 4 gauged supergravity and a iib orientifold with. New supersymmetric vacua for d4, n4 gauged supergravity. Vandoren, maximally supersymmetric solutions of d 4 n 2 gauged supergravity, jhep 11 2009 115. By studying various, known extrema of 1 su3 sectors, 2 so5 sectors and 3 so3xso3 sectors of gauged n 8 supergravity in fourdimensions, one finds.
It is said that in n 2 supergravity coupled to vector multiplets and hypermultiplets, one can gauge the rsymmetry by equivalently gauging the isometries of the corresponding hyperkahler cone over. The gauge theory has gauge group n and e ective t hooft coupling. Volume 123b, number 3, 4 physics letters 31 march 1983 gauged n 4 supergravity theory with a new scalar potential s. Gaugestring duality for nonsupersymmetric deformations. Gravity duals of 5d n2 sym from f4 gauged supergravity. Diederik roest, mtheory and gauged supergravities, fortsch. Scattering amplitudes in gauge theory and gravity in. Roughly speaking, this is related to the fact that gauging may be regarded as a spontaneous soft breaking of an unbroken gauge symmetry. The scalar potential is unbounded from below, and its critical point defines a.
Su2 supergravity theory in four spacetime dimensions. In this thesis, the equations of motion of fourdimensional n 2 gauged supergravity are derived in order to nd lifshitz solutions with nonzero hyperscaling violation. General relativity in 4 dimensions can be reformulated as an su2 gauge theory of a certain type. This is the part of the low energy e ective eld theory of a n 2 string compacti cation that we will need for the construction of black hole solutions. Gauged n4 supergravity theory with a new scalar potential.
Therearenods5 vacua inpure n 4 gauged supergravity of 23. An analogy is noted between the rg flow equations in 4 dimensional gauge theory, as derived from the adscft correspondence, and the rg flow equations in 4 dimensional field theory coupled to a particular limit of weyl supergravity. Miguels version has led lights, this one uses a twopiece sliding indicator. Gravity duals of 5d n 2 sym from f 4 gauged supergravity authors. This also explains the weakness of gravity and the fact that its effect is only an attractive one. The lowenergy effective theories describing string compactifications in the presence of fluxes are the socalled gauged supergravities. For instance there is, under mild assumptions, a unique maximally supersymmetric supergravity extension of the ordinary einsteinhilbert action on a 4 dimensional manifold.
Gravity duals of 5d n2 sym from f4 gauged supergravity core. The gauged theories also have a physical global su1,1 symmetry which survives from the e 66 symmetry of the ungauged theory. Symmetries and black holes in n 2 gauged supergravity. Skip to main content this banner text can have markup. Nuclear physics b 731 2005 144 gauge string duality for nonsupersymmetric deformations of n 4 super yangmills theory s. Gauged supersymmetry was expected to be an extension of general. The course provides an introduction to the supersymmetric extensions of general relativity, with a. The level is suitable for postgraduate students and. Moreover, we want to stress the similarity of gravity as gauge theory with the group gl4 to usual yangmills theories. Gauged n 4 supergravity from calabiyau threefolds hagen triendl iphtcea saclay based on work with a. In this language the statement that gravity is nonrenormalizable turns into the.
In this paper we obtain supersymmetric branelike configurations in the vacuum of n4 gauged su2. Gauged n4 supergravity from calabiyau threefolds hagen triendl iphtcea saclay based on work with a. From a number of explicit examples, it has been pointed out that gauge groups admitting ds5. Holographic rg flows for fourdimensional equation scfts. Three lectures on supergravity joaquim gomis based on the sugra book of dan freedman. Gravity duals of 5d n2 sym from f 4 gauged supergravity by parinya karndumri download pdf 206 kb. The gravity equation is a popular formulation for statistical analyses of bilateral. The static spherically symmetric solution they found although not in a closed form. N 4 gauged supergravity and a iib orientifold with fluxes. N 4 gauged supergravity and a iib orientifold with. Also, in the effective n 4 gravity based upon a linear n 4 superconformal algebra, there is no renormalization at all, i. The first model of 4dimensional supergravity without this denotation was. On the vacua of n 8 gauged supergravity in 4 dimensions arxiv.
It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research. We construct the complete and explicit nonlinear kaluzaklein ansatz for deriving the bosonic sector of the standard n4 so4. As in the fourdimensional n 4 gauged super gravity, all the ds5. Both vector multiplets and gauged hypermultiplets are included in this general analysis. We discuss the potential and massmatrix of gauged n 4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars.
Large rcharge operators in n 4 super yangmills and their gravity duals norman ives. Abstract the embedding of pure gauged n 8 supergravity in d 11 supergravity is discussed. N 4 super yangmills can be derived from a simpler 10dimensional theory, and yet supergravity and mtheory exist in 11 dimensions. Solutions of n2 gauged supergravity in 4, 5 and 6 dimensions. It can be found from a dimensional reduction of 11d supergravity by making the size of 7 of the dimensions go to zero. Supersymmetric domain wall and rg flow from 4dimensional. We discuss the potential and massmatrix of gauged n4 matter coupled supergravity for the case of six matter multiplets, extending. Index n 1 pure supergravity in 4 dimensions d11 supergravity. In this case, there exist magnetically charged bps black. We stress the role that the anticipated uv finiteness of the so far unknown underlying theory of quantum gravity would have to. This su1,1 for the so6 gauging is presumably related to that of the chiral n 2 theory in ten dimensions. The detailed construction of n 4 gauged supergravity can be found in 19,20.
Semiclassical gravity energymomentumtensor is expectation value. The origin of gravity the origin of gravitation the acceleration of a particle in free fall is caused by the refraction of its oscillating components by a cloud of exchange particles. As an existence proof that this is indeed possible we show how to derive n 4 super yang mills theory with any compact gauge group g from nonconformal gauged n 4 supergravity as a special flat space limit. Gauged n 8 super gravity possesses a solution with the same features, and this suggests that the s v compactification corresponds to gauged n 8 supergravity after a truncation of the full d 11 theory to its massless sector. Gauge string duality for superconformal deformations of n 4 super yangmills theory. Always with hamiltonjacobi technique, studying the symmetries of the systems the dynamics. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Explicit results are presented for two so7 invariant field configurations. We consider all semisimple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. It is said that in n2 supergravity coupled to vector multiplets and hypermultiplets, one can gauge the rsymmetry by equivalently gauging the isometries of the corresponding hyperkahler cone over. Arbitrary super extensions of d 2 gravity for theories with extended supersymmetries. The detailed construction can be found in 15 and 16. Gauged super adsmaxwell algebra and super gravity michal szczachor institute for theoretical physics university of wroclaw belgrad 2012 michal szczachor 121.
N 8 supergravity is the most symmetric quantum field theory which involves gravity and a finite number of fields. First and second order formulation of gravity n 1 global supersymmetry in d 4. The n 4 gravity multiplet consists of the graviton e. Duality in gauge field theories, adscft and dscft correspondence. Almost all of these vacuum solutions preserve either half or one quarter of the supersymmetry in the theory. The connection is that if the gauge group u n of sym becomes infinite as. Supersymmetry and gauge theory 7cmms41 neil lambert department of mathematics kings college london strand. Pdf nonabelian bps monopoles in n4 gauged supergravity. A concise geometrical formulation of n 4 supergravity containing an antisymmetric tensor gauge field is given in central charge superspace. Lectures on supergravity, amsterdambrusselsparis doctoral school, paris 2009, octobernovember 2009. Running gauge coupling and quarkantiquark potential from. These configurations contain the supersymmetric so8 invariant solution and two so7 invariant solutions of d 11 supergravity. In adscft correspondence dilatonic gravity with above action describes n 4 super yangmills theory superconformally interacting with n 4 conformal supergravity. Parinya karndumri submitted on 5 mar 2014 v1, last revised 15 oct 2014 this version, v4.
The maximal supersymmetric gravity theory in 4 dimensions has received a. The theory of the fourth interaction, gravity, is general relativity. Using superspace techniques we construct the general theory describing d 4, n 2 supergravity coupled to an arbitrary number of vector and scalartensor multiplets. In this argument, the low energy description of d3branes as classical pdimensional supergravity solutions black pbranes in 10dimensional type iib string theory and their dual description as a n 4 super yang mills gauge theory in the 4 dimensional worldvolume with. We assemble our notation in appendix a and give some additional properties of n 2 supergravity in appendix c. Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. Large rcharge operators in n 4 super yangmills and their. Supergravity is the gauge theory of local supersymmetry. Lectures on gauged supergravity and flux compacti cations.
Einstein gravity is not power counting renormalizable. Foreword this is a writeup of a course on supersymmetry i have been giving for several years to rst year phd students attending the curriculum in theoretical particle. The deformation parameters can be identified with the various possible geometric and nongeometric flux components. The maximally n4 supersymmetric so5gauged supergravity in 7dimensions was first. The tensor multiplets are crucial for such a flow because they host the supergravity states dual to the twisted gauge theory operators that drive this flow 23. The internal subgroup su2 su2 of su 4 supergravity can be gauged, giving rise to n 4 supergravity with lo. Unlock more features for gravity pdf with one of our premium extensions. Running gauge coupling and quarkantiquark potential from dilatonic gravity.
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