Author
Christoph Sieg
Other affiliations: Max Planck Society, Niels Bohr Institute, Technical University of Dortmund ...read more
Bio: Christoph Sieg is an academic researcher from Humboldt University of Berlin. The author has contributed to research in topics: Scalar (mathematics) & Supersymmetry. The author has an hindex of 31, co-authored 65 publications receiving 4023 citations. Previous affiliations of Christoph Sieg include Max Planck Society & Niels Bohr Institute.
Papers
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Albert Einstein Institution1, Ewha Womans University2, University of Oxford3, Hungarian Academy of Sciences4, CERN5, University of Savoy6, Uppsala University7, King's College London8, Petersburg Nuclear Physics Institute9, Jagiellonian University10, Pierre-and-Marie-Curie University11, École Normale Supérieure12, Princeton University13, University of Copenhagen14, University of Lyon15, University of Miami16, Imperial College London17, Pennsylvania State University18, University of California, Santa Barbara19, Humboldt University of Berlin20, Utrecht University21, University of York22, Perimeter Institute for Theoretical Physics23
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.
1,564 citations
Albert Einstein Institution1, Ewha Womans University2, University of Oxford3, Hungarian Academy of Sciences4, CERN5, University of Savoy6, Uppsala University7, Petersburg Nuclear Physics Institute8, King's College London9, Jagiellonian University10, Pierre-and-Marie-Curie University11, École Normale Supérieure12, Princeton University13, University of Copenhagen14, University of Lyon15, University of Miami16, Imperial College London17, Pennsylvania State University18, University of California, Santa Barbara19, Humboldt University of Berlin20, Utrecht University21, University of York22, Perimeter Institute for Theoretical Physics23
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.
350 citations
TL;DR: In this paper, the authors presented the planar four-loop anomalous dimension of the composite operator tr ( ϕ [ Z, ϕ ] Z ) in the SU ( 2 ) sector of the N = 4 SYM theory.
212 citations
TL;DR: Fiamberti et al. as mentioned in this paper gave all the details of the calculation that they presented in their previous paper concerning the four-loop anomalous dimension of the Konishi descendant tr in the SU ( 2 ) sector of the N = 4 planar SYM theory, and explicitly considered all the wrapping diagrams that they computed using an N = 1 superspace approach and Gegenbauer polynomial x-space techniques.
152 citations
TL;DR: In this article, a systematic analysis of wrapping interactions for a general class of theories with color degrees of freedom, including N=4 SYM, is presented, and a strategy to single out the wrapping contributions, based on adding spectator fields, is introduced.
138 citations
Cited by
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Albert Einstein Institution1, Ewha Womans University2, University of Oxford3, Hungarian Academy of Sciences4, University of Savoy5, CERN6, Uppsala University7, Petersburg Nuclear Physics Institute8, King's College London9, Jagiellonian University10, École Normale Supérieure11, Pierre-and-Marie-Curie University12, Princeton University13, University of Copenhagen14, University of Lyon15, University of Miami16, Imperial College London17, Pennsylvania State University18, University of California, Santa Barbara19, Humboldt University of Berlin20, Utrecht University21, University of York22, Perimeter Institute for Theoretical Physics23
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.
1,564 citations
01 Jan 1978
TL;DR: In this paper, the high energy asymptotic form of the scattering amplitude of colorless particles in quantum chromodynamics is obtained in the leading logarithmic approximation, and it is argued that such a calculation is justified for the amplitudes of scattering in which charmed quarks participate.
Abstract: The high-energy asymptotic form of the scattering amplitude of colorless particles in quantum chromodynamics is obtained in the leading logarithmic approximation. It is argued that such a calculation is justified for the amplitudes of scattering in which charmed quarks participate. The cross section for formation of two pairs of charmed quarks in ..gamma gamma.. collisions is found in explicit form.
620 citations
TL;DR: In this paper, the authors show that the planar free energy of ABJM theory matches the classical IIA supergravity action on a zero-dimensional super-matrix model and gives the correct N 3/2 scaling for the number of degrees of freedom of M2 brane theory.
Abstract: The partition function of $${\mathcal{N}=6}$$
supersymmetric Chern–Simons-matter theory (known as ABJM theory) on $${\mathbb{S}^3}$$
, as well as certain Wilson loop observables, are captured by a zero dimensional super-matrix model. This super–matrix model is closely related to a matrix model describing topological Chern–Simons theory on a lens space. We explore further these recent observations and extract more exact results in ABJM theory from the matrix model. In particular we calculate the planar free energy, which matches at strong coupling the classical IIA supergravity action on $${{\rm AdS}_4\times\mathbb{C}\mathbb{P}^3}$$
and gives the correct N
3/2 scaling for the number of degrees of freedom of the M2 brane theory. Furthermore we find contributions coming from world-sheet instanton corrections in $${\mathbb{C}\mathbb{P}^3}$$
. We also calculate non-planar corrections, both to the free energy and to the Wilson loop expectation values. This matrix model appears also in the study of topological strings on a toric Calabi–Yau manifold, and an intriguing connection arises between the space of couplings of the planar ABJM theory and the moduli space of this Calabi–Yau. In particular it suggests that, in addition to the usual perturbative and strong coupling (AdS) expansions, a third natural expansion locus is the line where one of the two ’t Hooft couplings vanishes and the other is finite. This is the conifold locus of the Calabi–Yau, and leads to an expansion around topological Chern–Simons theory. We present some explicit results for the partition function and Wilson loop observables around this locus.
608 citations
TL;DR: An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics.
Abstract: Using the thermodynamic Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in Gromov et al. (Integrability for the Full Spectrum of Planar AdS/CFT. arXiv:0901.3753 [hep-th]) for the spectrum of all operators in planar N = 4 SYM theory follows from these equations. In particular, we present the integral TBA type equations for the spectrum of all operators within the sl(2) sector. We prove that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics. We find the analog of DHM formula for the dressing kernel in the mirror kinematics.
545 citations
TL;DR: In this article, the dual superconformal generators of planar = 4 super Yang-Mills theory were shown to transform covariantly with respect to a ''dual'' symmetry algebra psu(2,2|4) for tree-level scattering amplitudes.
Abstract: Tree-level scattering amplitudes in = 4 super Yang-Mills theory have recently been shown to transform covariantly with respect to a `dual' superconformal symmetry algebra, thus extending the conventional superconformal symmetry algebra psu(2,2|4) of the theory. In this paper we derive the action of the dual superconformal generators in on-shell superspace and extend the dual generators suitably to leave scattering amplitudes invariant. We then study the algebra of standard and dual symmetry generators and show that the inclusion of the dual superconformal generators lifts the psu(2,2|4) symmetry algebra to a Yangian. The non-local Yangian generators acting on amplitudes turn out to be cyclically invariant due to special properties of psu(2,2|4). The representation of the Yangian generators takes the same form as in the case of local operators, suggesting that the Yangian symmetry is an intrinsic property of planar = 4 super Yang-Mills, at least at tree level.
520 citations