130,568 research outputs found
Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
No full textWe study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the scattering matrices of these theories. We then compute various 3 and 4-point on-shell tree-level amplitudes in these theories. For the mass-deformed Chern-Simons theory, odd-point amplitudes vanish and we find that all of the 4-point amplitudes can be encoded elegantly in superamplitudes. For the Yang-Mills-Chern-Simons theory, we obtain all of the 4-point tree-level amplitudes using a combination of perturbative techniques and algebraic constraints and we comment on difficulties related to computing amplitudes with external gauge fields using Feynman diagrams. Finally, we propose a BCFW recursion relation for mass-deformed theories in three dimensions and discuss the applicability of this proposal to mass-deformed N=2 theories
A note on amplitudes in N=6 superconformal Chern-Simons theory
No full textThis is the accepted version of an article subsequently published in Journal of High Energy Physics July 2012, 2012:160. The original publication is available at www.springerlink.com http://link.springer.com/article/10.1007%2FJHEP07%282012%29160This version deposited to arXiv 30-07-12 arXiv:1205.6705v3 [hep-th
Self-Dual Chern-Simons Higgs Systems with an N=3 Extended Supersymmetry
No full textWe construct and study an N=3 supersymmetric Chern-Simons Higgs theory. This theory is the maximally supersymmetric one containing the self-dual models with a single gauge field and no gravity.補正完
Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons theory and their string theory duals
No full textarchiveprefix: arXiv primaryclass: hep-th reportnumber: HU-EP-08-20 slaccitation: %%CITATION = ARXIV:0809.2787;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: HU-EP-08-20 slaccitation: %%CITATION = ARXIV:0809.2787;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: HU-EP-08-20 slaccitation: %%CITATION = ARXIV:0809.2787;%
Topics in Supersymmetry Breaking and Gauge/Gravity Dualities
No full textThe thesis covers two topics in string theory and quantum field theory. First, we realize metastable vacua in various supersymmetric gauge theories. Specifically, we consider the Coulomb branch of any N = 2 supersymmetric gauge theory, and perturb it by a superpotential and engineer a metastable vacuum at a point. We also study its relation to Kahler normal coordinates and Fayet-Iliopoulos terms. Having studied the metastable construction, we apply this to general gauge mediation. We show how to compute the current correlators when the hidden sector is strongly coupled in specific examples.
Next, we consider gauge/gravity dualities. We apply dualities to the investigation of various strongly coupled field theories. In one example, we construct M-theory supergravity solutions with the nonrelativistic Schroedinger symmetry starting from the warped AdS_5 metric with N = 1 supersymmetry. We impose that the lightlike direction is compact by making it a nontrivial U(1) bundle over the compact space. In another example, we show that, in a gravity theory with a Chern-Simons coupling, the Reissner-Nordstrom black hole in anti-de Sitter space is unstable depending on the value of the Chern-Simons coupling. The analysis suggests that the final configuration is likely to be a spatially modulated phase.</p
Relating U(N) x U(N) to SU(N) x SU(N) Chern-Simons membrane theories
No full textBy integrating out the U(1) B gauge field, we show that the U(n) x U(n) ABJM theory at level k is equivalent to a Z(k) identification of the (SU(n) x SU(n))/Z(n) Chern-Simons theory, but only when n and k are coprime. As a consequence, the k = 1 ABJM model for two M2-branes in R-8 can be identified with the N = 8 (SU(2)x SU(2))/Z(2) theory. We also conjecture that the U(2) x U(2) ABJM model at k = 2 is equivalent to the N = 8 SU(2) x SU(2)-theory
The complete superconformal index for N=6 Chern–Simons theory
No full textAbstractWe calculate the superconformal index for N=6 Chern–Simons-matter theory with gauge group U(N)k×U(N)−k at arbitrary allowed value of the Chern–Simons level k. The calculation is based on localization of the path integral for the index. Our index counts supersymmetric gauge invariant operators containing inclusions of magnetic monopole operators, where latter operators create magnetic fluxes on 2-sphere. Through analytic and numerical calculations in various sectors, we show that our result perfectly agrees with the index over supersymmetric gravitons in AdS4×S7/Zk in the large N limit. Monopole operators in nontrivial representations of U(N)×U(N) play important roles. We also comment on possible applications of our methods to other superconformal Chern–Simons theories
N=2,3,4 için 3 boyutlu Chern-Simons benzeri kütleçekim modelleri
No full textOur objective in this thesis is to find and study three-dimensional gravity models which are broadly termed as ``Chern-Simons-like models'' for cases. First, the term ``Chern-Simons-like" is discussed and the difference between the Chern-Simons theory and Chern-Simons-like theory is given. Starting from the most generic Lagrangians which are invariant under local Lorentz transformations, the conditions that must be fulfilled so that the Bianchi identity (in the first order formalism) holds is found for each case. To determine whether the models found by using local Lorentz invariance and Bianchi identity are physical, Hamiltonian analysis is used.Bu tezin amacı, üç boyutta, durumları için genel olarak ``Chern-Simons benzeri modeller'' olarak isimlendirilmiş modeller bulup çalışmaktır. Önce, ``Chern-Simons-benzeri" terimi tartışılıp, Chern-Simons teorisiyle farklılıkları verilir. Lokal Lorentz dönüşümleri altında değişmez kalan en genel Lagrangianlardan başlayarak, birinci derece formalizminde Bianchi özdeşliğini sağlayan koşullar her bir durum için bulunur. Lokal Lorentz dönüşümleri ve Bianchi özdeşliği ile bulunan modellerin fiziksel olup olmadıklarını anlamak için Hamilton analizi yapılır.M.S. - Master of Scienc
The Hilbert Space of large Chern-Simons matter theories
No full textWe demonstrate that the known expressions for the thermal partition function
of large Chern-Simons matter theories admit a simple Hilbert space
interpretation as the partition function of an associated ungauged large
matter theory with one additional condition: the Fock space of this associated
theory is projected down to the subspace of its \emph{quantum} singlets
i.e.~singlets under the Gauss law for Chern-Simons gauge theory. Via the
Chern-Simons / WZW correspondence, the space of quantum singlets are equivalent
to the space of WZW conformal blocks. One step in our demonstration involves
recasting the Verlinde formula for the dimension of the space of conformal
blocks in and WZW theories into a simple and physically
transparent form, which we also rederive by evaluating the partition function
and superconformal index of pure Chern-Simons theory in the presence of Wilson
lines. A particular consequence of the projection of the Fock space of
Chern-Simons matter theories to quantum (or WZW) singlets is the `Bosonic
Exclusion Principle': the number of bosons occupying any single particle state
is bounded above by the Chern-Simons level. The quantum singlet condition
(unlike its Yang-Mills Gauss Law counterpart) has a nontrivial impact on
thermodynamics even in the infinite volume limit. In this limit the projected
Fock space partition function reduces to a product of partition functions, one
for each single particle state. These single particle state partition functions
are -deformations of their free boson and free fermion counterparts and
interpolate between these two special cases. We also propose a formula for the
large partition function that is valid for arbitrary finite volume of the
spatial and not only at large volume.Comment: 100 pages + Appendices, 4 figures; v2: footnote 2 is extended for
clarification. The preprint is accepted for publication in JHE
Un écho imprévu de Detroit : Simons (Leonard N.), Simons says, Faith, Fun and Foible, Detroit, Wayne State University Press, 1984
No full textWolff Philippe. Un écho imprévu de Detroit : Simons (Leonard N.), Simons says, Faith, Fun and Foible, Detroit, Wayne State University Press, 1984. In: Annales du Midi : revue archéologique, historique et philologique de la France méridionale, Tome 97, N°170, 1985. Prédication et miracles, Écoles et journaux. p. 209
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