Finite N = 2 extended supersymmetric field theories

We use supersymmetric localization to study probes of four dimensional Lagrangian N = 2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a Wigner eigenvalue density precisely when they satisfy a necessary condition for having a holographic dual with a sensible higher-derivative expansion. We then compute in the saddle-point approximation the vacuum expectation value of 1/2-BPS circular Wilson loops, and the two-point functions of these Wilson loops with the Lagrangian density and with the stress-energy tensor. This last computation also provides the corresponding Bremsstrahlung functions and entanglement entropies. As expected, whenever a finite fraction of the matter is in the fundamental representation, the results are drastically different from those of N = 4 supersymmetric Yang-Mills theory.

Section: Saddle-point Equation For 4d N = Scftsmentioning

confidence: 99%

Probing N = 2 $$ \mathcal{N}=2 $$ superconformal field theories with localization

Fiol

Garolera

Torrents

2016

“…The β-function coefficients a i for the various gauge groups (computed following [56] and [57]) are listed in table 3. The numerical RGE solutions are shown in figure 1; we obtain:…”

mentioning

confidence: 99%

A non supersymmetric SO(10) grand unified model for all the physics below M GUT

Altarelli

Meloni

2013

109

163

We present a renormalizable non supersymmetric Grand Unified SO(10) model which, at the price of a large fine tuning, is compatible with all compelling phenomenological requirements below the unification scale and thus realizes a minimal extension of the SM, unified in SO(10) and describing all known physics below M GUT . These requirements include coupling unification at a large enough scale to be compatible with the bounds on proton decay; a Yukawa sector in agreement with all the data on quark and lepton masses and mixings and with leptogenesis as the origin of the baryon asymmetry of the Universe; an axion arising from the Higgs sector of the model, suitable to solve the strong CP problem and to account for the observed amount of Dark Matter. The above constraints imposed by the data are very stringent and single out a particular breaking chain with the Pati-Salam group at an intermediate scale M I ∼ 10 11 GeV.

“…Their properties will be considered not only in conformal SQCD, but also in a more general set of superconformal N = 2 models with SU (N ) gauge group, obtained by imposing that the 1-loop coefficient of the beta function vanishes (see (A.17)). These have a specific matter content in the fundamental, symmetric or anti-symmetric representations [32], see table 1. Theory A is N = 2 conformal SQCD.…”

Section: Large R-charge Observablesmentioning

confidence: 99%

“…The five families of N = 2 superconformal theories with SU (N ) gauge group and matter in fundamental (F), symmetric (S) and anti-symmetric representations (A), cf. [32].…”

Section: Large R-charge Observablesmentioning

confidence: 99%

$$ \mathcal{N} $$ = 2 conformal gauge theories at large R-charge: the SU(N) case

Beccaria

Galvagno

Hasan

2020

Conformal theories with a global symmetry may be studied in the double scaling regime where the interaction strength is reduced while the global charge increases. Here, we study generic 4d N = 2 SU (N ) gauge theories with conformal matter content at large R-charge Q R → ∞ with fixed 't Hooft-like coupling κ = Q R g 2 YM . Our analysis concerns two distinct classes of natural scaling functions. The first is built in terms of chiral/anti-chiral two-point functions. The second involves one-point functions of chiral operators in presence of 1 2 -BPS Wilson-Maldacena loops. In the rank-1 SU (2) case, the two-point sector has been recently shown to be captured by an auxiliary chiral random matrix model. We extend the analysis to SU (N ) theories and provide an algorithm that computes arbitrarily long perturbative expansions for all considered models, parametric in the rank. The leading and next-to-leading contributions are cross-checked by a three-loops computation in N = 1 superspace. This perturbative analysis identifies maximally non-planar Feynman diagrams as the relevant ones in the double scaling limit. In the Wilson-Maldacena sector, we obtain closed expressions for the scaling functions, valid for any rank and κ. As an application, we analyze quantitatively the large 't Hooft coupling limit κ 1 where we identify all perturbative and non-perturbative contributions. The latter are associated with heavy electric BPS states and the precise correspondence with their mass spectrum is clarified. arXiv:2001.06645v2 [hep-th] 28 Jan 20201 The idea of a large charge/weak coupling compensation is closely related to the solvability of the BMN limit in AdS/CFT [4,5] and, more generally, to the coherent-state effective theory description of "semiclassical" string states [6,7] and its role in capturing the strong coupling regime [8].2 An equivalent statement is that an exact saddle point analysis is possible in the double scaling limit.