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Exact halfBPS type IIB interface solutions I: Local solution and supersymmetric Janus
, 2007
"... The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold AdS4 × S 2 × S 2 × Σ with SO(2,3) × SO(3) × SO(3) symmetry in terms of two holomorphic functions on a Riemann surface Σ, which generally has a boundary. This is achieved by reducing the BPS equations ..."
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Cited by 73 (14 self)
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The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold AdS4 × S 2 × S 2 × Σ with SO(2,3) × SO(3) × SO(3) symmetry in terms of two holomorphic functions on a Riemann surface Σ, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and SineGordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a nonsingular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric YangMills interface theory discovered recently. The construction of general classes of globally nonsingular solutions, including fully backreacted AdS5 ×S 5 and supersymmetric Janus doped with D5 and/or NS5 branes,
Tendimensional supersymmetric Janus solutions
, 2006
"... The reduced field equations and BPS conditions are derived in Type IIB supergravity for configurations of the Janus type, characterized by an AdS4slicing of AdS5, and various degrees of internal symmetry and supersymmetry. A generalization of the Janus solution, which includes a varying axion along ..."
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Cited by 25 (6 self)
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The reduced field equations and BPS conditions are derived in Type IIB supergravity for configurations of the Janus type, characterized by an AdS4slicing of AdS5, and various degrees of internal symmetry and supersymmetry. A generalization of the Janus solution, which includes a varying axion along with a varying dilaton, and has SO(6) internal symmetry, but completely broken supersymmetry, is obtained analytically in terms of elliptic functions. A supersymmetric solution with 4 conformal supersymmetries, SU(3) internal symmetry, a varying axion along with a varying dilaton, and nontrivial B (2) field, is derived analytically in terms of genus 3 hyperelliptic integrals. This supersymmetric solution is the 10dimensional Type IIB dual to the N = 1 interface superYangMills theory with SU(3) internal symmetry previously
Correlation functions in holographic RG flows
 JHEP 0410 (2004) 075 [arXiv:hepth/0407071]. – 46 – M. Henningson and K. Skenderis, “The holographic Weyl anomaly,” JHEP 9807
, 1998
"... Abstract: We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instea ..."
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Cited by 7 (4 self)
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Abstract: We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of performing a general analysis of counterterms, we develop a method where only the contribution of counterterms to any given correlators needs to be computed. For instance, the computation of renormalized 2point functions requires only an analysis at the linearized level. We illustrate the method by discussing flat and AdSsliced domain walls. In particular, we discuss correlation functions of the Janus solution, a recently discovered nonsupersymmetric but stable AdSsliced domain wall.
Holographic Aspects of a Relativistic Nonconformal Theory,” Adv.High Energy Phys
 2013 (2013) 389541 [arXiv:1209.0842 [hepth
"... We study a general Ddimensional Schwarzschildtype black brane solution of the Einsteindilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coeffi ..."
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Cited by 2 (1 self)
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We study a general Ddimensional Schwarzschildtype black brane solution of the Einsteindilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the selfconsistency of the gauge/gravity duality in the relativistic nonconformal theory. In order to understand more about the relativistic nonconformal theory, we further investigate the binding energy, drag force, and holographic entanglement entropy of the relativistic nonconformal theory.
Janus and Multifaced Supersymmetric Theories II
, 901
"... We explore the physics of supersymmetric Janus gauge theories in four dimension with spatial dependent coupling constants, e 2 and θ. For the 8 supersymmetric case, we study the vacuum and BPS spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymm ..."
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We explore the physics of supersymmetric Janus gauge theories in four dimension with spatial dependent coupling constants, e 2 and θ. For the 8 supersymmetric case, we study the vacuum and BPS spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymmetric cases either due to additional expressions in the Lagrangian or to the fact that coupling constants depend on additional spatial coordinates. 1 Introduction and Conclusion There has been some interest in the Janustype field theory where the coupling constants are depending on space [1]. What is exciting about this subject is that some of supersymmetry of the original theory can be preserved even when the coupling constants are spatial dependent once some
Preprint typeset in JHEP style HYPER VERSION KIASP08017 Janus and Multifaced Supersymmetric Theories
, 802
"... Abstract: We investigate the various properties Janus supersymmetric YangMills theories. A novel vacuum structure is found and BPS monopoles and dyons are studied. Less supersymmetric Janus theories found before are derived by a simpler method. In addition, we find the supersymmetric theories when ..."
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Abstract: We investigate the various properties Janus supersymmetric YangMills theories. A novel vacuum structure is found and BPS monopoles and dyons are studied. Less supersymmetric Janus theories found before are derived by a simpler method. In addition, we find the supersymmetric theories when the coupling constant depends on two and three spatial coordinates. – 1 –
ITFA200423 hepth/0407071 Correlation Functions in Holographic RG Flows
, 2004
"... We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of perfo ..."
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We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of performing a general analysis of counterterms, we develop a method where only the contribution of counterterms to any given correlator needs to be computed. For instance, the computation of renormalized 2point functions requires only an analysis at the linearized level. We illustrate the method by discussing flat and AdSsliced domain walls. In particular, we discuss correlation functions of the Janus solution, a recently discovered nonsupersymmetric but stable AdSsliced domain wall.
UOSTP06101 hepth/0603080 Dual of Bigbang and Bigcrunch
, 2006
"... Starting from the Janus solution and its gauge theory dual, we obtain the dual gauge theory description of the cosmological solution by the procedure of the double Wick rotation. The coupling is driven either to zero or to infinity at the bigbang and bigcrunch singularities, which are shown to be r ..."
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Starting from the Janus solution and its gauge theory dual, we obtain the dual gauge theory description of the cosmological solution by the procedure of the double Wick rotation. The coupling is driven either to zero or to infinity at the bigbang and bigcrunch singularities, which are shown to be related by the Sduality symmetry. In the dual YangMills theory description, these are non singular at all as the coupling goes to zero in the N=4 Super YangMills theory. The cosmological singularities simply signal the failure of the supergravity description of the full type IIB superstring theory. The duality between gravity and gauge theory seems the key to understand the quantum gravity. Since the original AdS/CFT correspondence[1, 2, 3, 4], there have appeared many variants of the gravity/gauge theory correspondence. However, until now, there are no concrete examples of the gauge theory dual to the cosmological evolution of gravity theory.
Janus within Janus
, 2006
"... We found a simple and interesting generalization of the nonsupersymmetric Janus solution in type IIB string theory. The Janus solution can be thought of as a thick AdSdsliced domain wall in AdSd+1 space. It turns out that the AdSdsliced domain wall can support its own AdSd−1sliced domain wall wi ..."
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We found a simple and interesting generalization of the nonsupersymmetric Janus solution in type IIB string theory. The Janus solution can be thought of as a thick AdSdsliced domain wall in AdSd+1 space. It turns out that the AdSdsliced domain wall can support its own AdSd−1sliced domain wall within it. Indeed this pattern persists further until it reaches the AdS2slice of the domain wall within selfsimilar AdS p (2<p≤d)sliced domain walls. In other words the solution represents a sequence of little Janus nested in the interface of the parent Janus according to a remarkably simple “nesting ” rule. Via the AdS/CFT duality, the dual gauge theory description is in general an interface CFT of higher codimensions. 1
SUITP05/003 hepth/0412081
, 2005
"... We study curved and flat BPSdomain walls in 5D, N = 4 gauged supergravity and show that their effective dynamics along the flow is described by a generalized form of “fake supergravity”. This generalizes previous work in N = 2 supergravity and might hint towards a universal behavior of gauged super ..."
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We study curved and flat BPSdomain walls in 5D, N = 4 gauged supergravity and show that their effective dynamics along the flow is described by a generalized form of “fake supergravity”. This generalizes previous work in N = 2 supergravity and might hint towards a universal behavior of gauged supergravity theories in supersymmetric domain wall backgrounds. We show that BPSdomain walls in 5D, N = 4 supergravity can never be curved if they are supported by the supergravity scalar only. Furthermore, a purely Abelian gauge group or a purely semisimple gauge group can never lead to a curved domain wall, and the flat walls for these gaugings always exhibit a runaway behavior.