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We present a general method for computing the central charges a and c of N=2 superconformal field theories corresponding to singular points in the moduli space of N=2 gauge theories. Our method relates a and c to the U(1)_R anomalies of the…

High Energy Physics - Theory · Physics 2014-11-18 Alfred D. Shapere , Yuji Tachikawa

We calculate the central charges a, c and k_G of a large class of four-dimensional N=2 superconformal field theories arising from compactifying the six-dimensional N=(2,0) theory on a Riemann surface with regular and irregular punctures. We…

High Energy Physics - Theory · Physics 2016-02-25 Dan Xie , Peng Zhao

We use recent results of Intriligator and Wecht [hep-th/0304128] to study the phase structure of $\NN=1$ super Yang-Mills theory with gauge group $SU(N_c)$, a chiral superfield in the adjoint, and $N_f$ chiral superfields in the fundamental…

High Energy Physics - Theory · Physics 2010-12-03 David Kutasov , Andrei Parnachev , David A. Sahakyan

The limit of families of two-dimensional conformal field theories has recently attracted attention in the context of AdS/CFT dualities. In our work we analyse the limit of N=(2,2) superconformal minimal models when the central charge…

High Energy Physics - Theory · Physics 2015-06-04 Stefan Fredenhagen , Cosimo Restuccia , Rui Sun

We consider RG flows obtained by a relevant deformation from unitary and compact two-dimensional (0,2) SCFTs. We point out that an N=2 super-Kac-Moody algebra present in the UV is preserved by the flow and does not mix with the R-current.…

High Energy Physics - Theory · Physics 2016-11-03 Ilarion V. Melnikov

We propose that a certain $4d$ $\mathcal{N}=1$ $SU(4)$ gauge theory flows in the IR to the rank $1$ $\mathcal{N}=2$ strongly coupled SCFT with $E_6$ global symmetry and $25$ free chiral fields. This proposal is tested by comparing various…

High Energy Physics - Theory · Physics 2020-12-30 Gabi Zafrir

We study a rich set of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with both central charges identical: $a = c$. We construct them via the diagonal $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a…

High Energy Physics - Theory · Physics 2023-03-28 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We use the AdS/CFT correspondence to compute the central charges of the d=4, N=2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E_n global symmetries. We…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Yuji Tachikawa

We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(2n+1)$ for each $n$. The dual theory is constructed through the diagonal gauging of…

High Energy Physics - Theory · Physics 2023-06-13 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

A flow invariant is a quantity depending only on the UV and IR conformal fixed points and not on the flow connecting them. Typically, its value is related to the central charges a and c. In classically-conformal field theories, scale…

High Energy Physics - Theory · Physics 2009-11-07 D. Anselmi

For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents, interpolate between central charges of the UV and IR…

High Energy Physics - Theory · Physics 2009-10-08 D. Anselmi , D. Z. Freedman , M. T. Grisaru , A. A. Johansen

We derive explicit formulae to compute the $a$ and $c$ central charges of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also…

High Energy Physics - Theory · Physics 2020-12-30 Mario Martone

We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal field theories with central charge c=3. Then we check the description of the Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models with c=3, by…

High Energy Physics - Theory · Physics 2008-11-26 Sayipjamal Dulat

Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. SCFTs we have…

High Energy Physics - Theory · Physics 2011-05-05 Tohru Eguchi , Kentaro Hori , Katsushi Ito , Sung-Kil Yang

One can derive a large class of new $\mathcal{N}=1$ SCFTs by turning on $\mathcal{N}=1$ preserving deformations for $\mathcal{N}=2$ Argyres-Dougals theories. In this work, we use $\mathcal{N}=2$ superconformal indices to get indices of…

High Energy Physics - Theory · Physics 2022-12-27 Dan Xie , Wenbin Yan

The conclusion of the original paper was wrong, due to the incorrect assumption that the low-energy limit at the strongly-coupled point consists of a single, coupled SCFT. By taking into account the fact that the low-energy limit consists…

High Energy Physics - Theory · Physics 2014-04-29 Alfred D. Shapere , Yuji Tachikawa

We construct a large new family of four-dimensional N=1 superconformal field theories by coupling Gaiotto's T_N theories to N=1 vector multiplets. In particular, we consider theories in which various T_N blocks are linked together via…

High Energy Physics - Theory · Physics 2011-11-16 Ibrahima Bah , Brian Wecht

Relativistic QFTs are in general defined by a collection of effective actions, describing the dynamics of quantum fields at different energy scales. The consequent natural idea of a space of theories is still a rather imprecise notion,…

High Energy Physics - Theory · Physics 2013-10-28 Cosimo Restuccia

We study large N conformal field theories perturbed by relevant double-trace deformations. Using the auxiliary field trick, or Hubbard-Stratonovich transformation, we show that in the infrared the theory flows to another CFT. The generating…

High Energy Physics - Theory · Physics 2010-04-05 Steven S. Gubser , Igor R. Klebanov

The embedding diagrams of representations of the N=2 superconformal algebra with central charge c=3 are given. Some non-unitary representations possess subsingular vectors that are systematically described. The structure of the embedding…

High Energy Physics - Theory · Physics 2009-11-10 Hanno Klemm
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