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107
Open strings in ppwave background from defect conformal field theory,” hepth/0203257
"... We consider open strings ending on a D5brane in the ppwave background, which is realized in the Penrose limit of AdS5×S 5 with an AdS4×S 2 brane. A complete list of gauge invariant operators in the defect conformal field theory is constructed AdS/CFT correspondence [1, 2, 3, 4] has lead to deep un ..."
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Cited by 59 (4 self)
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We consider open strings ending on a D5brane in the ppwave background, which is realized in the Penrose limit of AdS5×S 5 with an AdS4×S 2 brane. A complete list of gauge invariant operators in the defect conformal field theory is constructed AdS/CFT correspondence [1, 2, 3, 4] has lead to deep understandings of string theory and field theory. However, until recently, much of the progress in this direction has been limited to supergravity approximations due to the difficulty when one has RamondRamond background. Recently, it has been shown that string theory can be fully solved in the ppwave
RG flows from spin(7), CY 4fold and HK manifolds to AdS, Penrose limits and pp waves
"... We obtain explicit realizations of holographic renormalization group (RG) flows from Mtheory, from E 2,1 × Spin(7) at UV to AdS4 × ˜ S 7 (squashed S 7) at IR, from E 2,1 × CY 4 at UV to AdS4 ×Q 1,1,1 at IR, and from E 2,1 ×HK (hyperKahler) at UV to AdS4 ×N 0,1,0 at IR. The dual type IIA string the ..."
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Cited by 44 (5 self)
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We obtain explicit realizations of holographic renormalization group (RG) flows from Mtheory, from E 2,1 × Spin(7) at UV to AdS4 × ˜ S 7 (squashed S 7) at IR, from E 2,1 × CY 4 at UV to AdS4 ×Q 1,1,1 at IR, and from E 2,1 ×HK (hyperKahler) at UV to AdS4 ×N 0,1,0 at IR. The dual type IIA string theory configurations correspond to D2D6 brane systems where D6branes wrap supersymmetric fourcycles. We also study the Penrose limits and obtain the ppwave backgrounds for the above configurations. Besides, we study some examples of Since Mtheory compactifications on manifolds of special holonomy preserve a fraction of the original supercharges in flat elevendimensional spacetime, it has become a fruitful arena to explore the dynamical aspects of minimally supersymmetric gauge theories. Indeed, study of special holonomy manifolds developing an isolated classical singularity has recently shed light
Maximally supersymmetric solutions of ten and elevendimensional supergravities
, 2002
"... We classify (up to local isometry) the maximally supersymmetric solutions of the eleven and tendimensional supergravity theories. We find that the AdS solutions, the Hppwaves and the flat space solutions exhaust them. ..."
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Cited by 43 (8 self)
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We classify (up to local isometry) the maximally supersymmetric solutions of the eleven and tendimensional supergravity theories. We find that the AdS solutions, the Hppwaves and the flat space solutions exhaust them.
Open strings in the plane wave background. I: Quantization and symmetries,” Nucl. Phys. B665
, 2003
"... We systematically investigate open strings in the plane wave background of type IIB string theory. We carefully analyze possible boundary conditions for open strings and find static as well as timedependent branes. The branes fall into equivalence classes depending on whether they are related by th ..."
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Cited by 38 (3 self)
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We systematically investigate open strings in the plane wave background of type IIB string theory. We carefully analyze possible boundary conditions for open strings and find static as well as timedependent branes. The branes fall into equivalence classes depending on whether they are related by the action of target space isometries. In particular static branes localized at the origin of transverse space and certain timedependent branes fall into the same equivalence class. We analyze thoroughly the symmetries of all branes we discuss. Apart from symmetries descending from target space isometries, the worldsheet action being free admits a countably infinite number of other global worldsheet symmetries. We find that one can use such worldsheet symmetries to restore seemingly broken target space symmetries. In particular, we show that Dbranes localized at arbitrary constant positions which were thought to be 1/4 supersymmetric in fact have sixteen supercharges whilst Dbranes which were thought to be nonsupersymmetric have eight supercharges. We discuss in detail the quantization in all cases. Contents
Plane waves: To infinity and beyond
"... Abstract: We describe the asymptotic boundary of the general homogeneous plane wave spacetime, using a construction of the ‘points at infinity ’ from the causal structure of the spacetime as introduced by Geroch, Kronheimer and Penrose. We show that this construction agrees with the conformal bounda ..."
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Cited by 34 (5 self)
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Abstract: We describe the asymptotic boundary of the general homogeneous plane wave spacetime, using a construction of the ‘points at infinity ’ from the causal structure of the spacetime as introduced by Geroch, Kronheimer and Penrose. We show that this construction agrees with the conformal boundary obtained by Berenstein and Nastase for the maximally supersymmetric tendimensional plane wave. We see in detail how the possibility to go beyond (or around) infinity arises from the structure of light cones. We also discuss the extension of the construction to timedependent plane wave solutions, focusing on the examples obtained from the Penrose limit of Dpbranes. Keywords: Plane Waves, PPwaves, causal structure, conformal boundary.
Supersymmetric branes in PP wave background,” arXiv:hepth/0204033. 18
 Large branes in AdS and their field theory dual,” JHEP 0008, 051 (2000) [arXiv:hepth/0008016
, 2000
"... We consider the matrix model associated with ppwave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic ..."
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We consider the matrix model associated with ppwave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of AdS2 or dS2 embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 02 strings.
From superAdS5 × S5 algebra to superppwave algebra,” hepth/0202190
"... The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the InönüWigner contractions of the superAdS5×S 5 algebra. The superAdS5×S 5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric ppw ..."
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Cited by 30 (4 self)
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The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the InönüWigner contractions of the superAdS5×S 5 algebra. The superAdS5×S 5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric ppwave algebra and the AdS5×S 5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions. PACS: 11.30.Pb;11.17.+y;11.25.w Recently the supersymmetric ppwave backgrounds, as well as the antide Sitter (AdS) backgrounds, have been widely studied as supergravity vacua. A maximally supersymmetric ppwave solution for the elevendimensional supergravity theory was found in [1, 2, 3, 4], and one for the type IIB supergravity theory was found in [5]. Relations
Penrose limits of RG fixed points and PPwaves with background fluxes,” arXiv:hepth/0205314
"... We consider a family of ppwave solutions of IIB supergravity. This family has a nontrivial, constant 5form flux, and nontrivial, (lightcone) timedependent RR and NSNS 3form fluxes. The solutions have either 16 or 20 supersymmetries depending upon the time dependence. One member of this family ..."
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Cited by 27 (0 self)
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We consider a family of ppwave solutions of IIB supergravity. This family has a nontrivial, constant 5form flux, and nontrivial, (lightcone) timedependent RR and NSNS 3form fluxes. The solutions have either 16 or 20 supersymmetries depending upon the time dependence. One member of this family of solutions is the Penrose limit of the solution obtained by Pilch and Warner as the dual of a LeighStrassler fixed point. The family of solutions also provides indirect evidence in support of a recent conjecture concerning a large N duality group that acts on RG flows of N = 2 supersymmetric, quiver gauge theories.
Penrose Limits of Orbifolds and Orientifolds
, 2002
"... We study the Penrose limit of various AdSp × S q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS3 × S 3 /Γ, AdS5 × S 5 /Γ and AdS4,7 × S 7,4 /Γ where Γ acts on the sphere and/or the AdS factor. In the ppwave limit th ..."
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Cited by 24 (0 self)
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We study the Penrose limit of various AdSp × S q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS3 × S 3 /Γ, AdS5 × S 5 /Γ and AdS4,7 × S 7,4 /Γ where Γ acts on the sphere and/or the AdS factor. In the ppwave limit the wave fronts are the orbifolds C 2 /Γ, C 4 /Γ and R × C 4 /Γ, respectively. When desingularization is possible, we get asymptotically locally ppwave backgrounds (ALpp). The Penrose limit of orientifolds are also discussed. In the AdS5 × RP 5 case, the limiting singularity can be resolved by an EguchiHanson gravitational instanton. The ppwave limit of D3branes near singularities in Ftheory is also presented. Finally, we give the embedding of Ddimensional ppwaves in flat M 2,D space.