N 2 superconformal field theory pdf

Pdf n 2 superconformal field theory on the basis of osp22. Making use of the exact solutions of the n 2 n2 n 2 supersymmetric gauge theories we construct new classes of superconformal field theories scfts by finetuning the moduli parameters and bringing the theories to critical points. Topological twist in n2 superconformal field theory, i. By going further, we find out that this theory has a spectrum with both electrically and magnetically charged objects originating from the mbrane. By using these realizations, the correlation functions of n 2 superconformal model based on osp 2 2 symmetry and free field representation of generators are calculated. Correlation functions in the n2 superconformal field theory.

Pdf n 2 superconformal field theory on the basis of. Yasuyuki kawahigashi, n 2 n 2 superconformal field theory. New n 2 superconformal field theories from mftheory. Free field representation of currents are used to determine the stressenergy tensor and the central charge of the model. Pdf n 2 superconformal field theory and noncommutative. Box 26, 76100 rehovot, israel september 16, 2002 abstract we study a family of interacting bosonic. In this thesis, we discuss 3d3d correspondence between chernsimons theory and threedimensional n 2 superconformal field theory.

The addition of n supersymmetry generators extends the conformal algebra to the leveln superconformal algebra and n2 superconformal field theory is of interest in the compactification of string theory with n1 spacetime supersymmetry. N2 superconformal symmetry and so2,1 current algebra inspire. Juan maldacena, the large n limit of superconformal field theories and supergravity, adv. Such interests are enough to motivate one to study different aspects of n 2 in 2dimension. New n2 superconformal field theories in four dimensions. A problem of much physical interest is the calculation of correlation functions, using superconformal ward identities. On the complete classification of unitary n 2 minimal. Relations among the scaling dimensions of their relevant chiral operators, global symmetries, and higgs branches are understood in terms of the general structure of relevant deformations of nontrivial n2 conformal field theories. Fourpoint functions in n2 superconformal field theories.

In the 3d3d correspondence proposed by dimoftegaiottogukov information of abelian flat connection in chernsimons theory was not captured. Pdf n 2 superconformal field theory on the basis of osp2. Another application of the 2,0theory in mathematics is the work of davide gaiotto, greg moore, and andrew neitzke, which used physical ideas to derive new results in hyperkahler geometry. We promote an abstract operatoralgebraic viewpoint in order to unify the description of lagrangian and nonlagrangian theories, and formulate various conjectures concerning the landscape of theories. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation value of the wilson loop, correlation functions with chiral operators and the emitted radiation of the charged particle moving along the wilson loop trajectory. These authors argued that the elliptic genus of the. Field theoretic consistency arguments indicate that there should be many distinct such relevant. New n 2 superconformal field theories from mf theory orbifolds gukov, sergei and kapustin, anton 1999 new n 2 superconformal field theories from mf theory orbifolds. Explicitly, the twopoint functions of n1 logarithmic superconformal field theories lscft when the. We also have an so sua rsymmetry that rotates the six scalar fields into each other2. We point out that under a suitable redefinition of the energymomentum tensor the central charge of n2 theory vanishes and the theory is transformed into a topological quantum field theory.

In, a criterion was similarly proposed for 2, 2 superconformal theories dual to pure extended supergravity in ads 3. Aiming at a complete classification of unitary n 2 minimal models where the assumption of spacetime supersymmetry has been dropped, it is shown that each modular invariant candidate partition function of such a theory is indeed the partition function of a fullyfledged unitary n 2 minimal model, subject to the assumptions that orbifolding is a physical process and that. Brst invariant observables are given by chiral primary fields. New examples of n2 supersymmetric conformal field theories are found as fixed points of su 2 n2 supersymmetric qcd. N1,2 4d superconformal field theories and supergravity in. Correlation functions in the n2 superconformal field theory corresponding to a calabiyau compactification. Threedimensional superconformal field theory, chernsimons. N 2 superconformal field theory and noncommutative geometry yasu kawahigashi university of tokyo bucuresti april 25, 2011 yasu kawahigashi univ. N2 superconformal field theory with ade global symmetry. We demonstrate that all unitary representations of the n 2 superconformal algebra for c 3 may be obtained from representations of so 2,1 current algebra by subtracting and then adding back a free boson. N2 superconformal field theory and operator algebras. Box 26, 76100 rehovot, israel received 29 september 2002. Fourpoint correlation functions of hypermultiplet bilinear composites are analysed in n2 superconformal field theory using the superconformal ward identities and the analyticity properties of.

New four dimensional n 2 field theories can be engineered from compactifying six dimensional 2, 0 superconformal field theory on a punctured riemann surface. Type iib superstring theory on ads5 s5 is dual to a scft in 4d n 4 sym theory. For the tori the elliptic genus again vanishes, and thus the k3 surface is the only non trivial example. By using these realizations, the correlation functions of n 2 superconformal model based on osp 2 2 symmetry and free. Maldacena, the large n limit of superconformal field theories and supergravity, hepth9705104. Superconformal algebra in dimension greater than 2. An extremal n2 superconformal field theory by phil brown on november 14, 2017 researchers at stanford and boston university construct two dimensional cfts with the right properties to be holographic duals of threedimensional supergravity. We analyze in detail the fourpoint functions of flavor. We present simple observations on the topological nature of n2 superconformal field theories. Tokyo n 2 scft and ncg bucuresti april 25, 2011 1 17 page 2. From the other side free field representations of lie superalgebras 8, 9. Elliptic genera and n2 superconformal field theory. Field identi cations for interacting bosonic models in n.

N2 superconformal field theory with ade global symmetry on a. Field identi cations for interacting bosonic models in n 2 superconformal field theory joseph conlon christs college, cambridge, cb2 3bu, united kingdom doron gepner y department of particle physics, weizmann institute of science, p. Turning on n 2 supersymmetrypreserving relevant operators in a 4dimensional n 2 superconformal field theory scft corresponds to a complex deformation. We study the logarithmic superconformal field theories. Topological twist in n2 superconformal field theory, i thu, mar 30, 2017 3. Using a unified and systematic scheme, the free field realization of irreducible representations of osp 2 2 is constructed. New examples of n2 supersymmetric conformal field theories are found as fixed points of su2 n2 supersymmetric qcd. Lance dixon, paul ginsparg, and jeffrey harvey, c 1 \hat c 1 superconformal field theory. Conformal field theory has received much attention since the 1984 paper of belavin et al.

We consider explicit examples of n 2 gauge theories, and demonstrate that an anomaly to realizing the higher symmetry algebra at the quantum level vanishes precisely when the theory is, in fact, superconformal. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. This construction gives insight into the unitary domains for n 2 representations. Let us consider the theory at the superconformal point, where r 0.

Hitchins equation is defined on this riemann surface and the fields in hitchins equation are singular at the punctures. N 2 superconformal field theory on the basis of osp22. N2 superconformal field theory and noncommutative geometry. Field identifications for interacting bosonic models in n2. The problem of strong coupling for su n gauge theories can be for. Elliptic genera and n 2 superconformal field theory. N2 superconformal field theory with ade global symmetry on a d3brane probe masayuki noguchi, seiji terashima and sungkil yang institute of physics, university of tsukuba ibaraki 3058571, japan abstract we study mass deformations of n 2 superconformal eld theories with ade global symmetries on a d3brane.