We find a way to represent the Starobinsky model in terms of a simple conformally invariant theory with spontaneous symmetry breaking. We also present a superconformal theory, which, upon spontaneous breaking of the superconformal symmetry, provides a consistent supergravity generalization of the Starobinsky model.
We present the supersymmetric completion of the auxiliary vector modified polynomial $f(R)$ theories in their dual scalar-tensor theory formulation that interpolate between the auxiliary vector modified polynomial $f(R)$ theories and chaotic inflation with the power-law potential $V(ϕ) \propto ϕ^p$. The supersymmetrization is achieved in two steps: First, we introduce a superconformal theory for three chiral multiplets by choosing a conformal Kähler potential and a conformal superpotential. In the second step, we use one of the chiral multiplets to compensate for the superconformal symmetries …
We find an N=1 gauge theory that flows to the rank-one N=2 superconformal field theory with $E_7$ flavor symmetry. We first obtain a Lagrangian description for the $R_{0, N}$ theory, which appears in the S-dual description of the SU(N) gauge theory with 2N fundamental hypermultiplets. This is a straightforward generalization of the proposed Lagrangian description for the $E_6$ theory. The $E_7$ theory is then obtained via partial Higgsing of the $R_{0, 4}$ theory. From this Lagrangian description, we compute the full superconformal index. We also consider twisted dimensional reduction on $S^2$…
We compactify the abelian 6d (1,0) tensor multiplet on a circle bundle, thus reducing the theory down to 5d SYM while keeping all the KK modes. This abelian classical field theory, when interpreted suitably, has a nonlocal superconformal symmetry. Furthermore, a nonabelian generalization, where all the KK modes are kept, is possible for the nonlocal superconformal symmetry, whereas for the local superconformal symmetry we can only realize a subgroup.
本文考虑规范群为U（N）xU（N）的N=6超共形Chern-Simons物质理论的两种推广.第一个推广是N=6超共形U（M）xU（N）理论，第二个推广是N=5超共形O（2 M）xUSp（2N）和O（2 M +1）xUSp（2N）理论.这些理论被用来描述M2-膜在酉情形下探测C^4/Z_k，在正交/辛情形下探测C^4/ \hat{D}_k，以及一个离散通量，它可以被解释为|M-N|分数M2-膜局部化在orbifold奇点。具有这些规范群的经典理论以前已经被构造出来了，在本文中，我们集中讨论这些理论的某些量子方面，并详细描述它们的M理论和IIA型弦论。
We propose a generalization of the Grover-Sheng-Vishwanath model which, as solved by the density-matrix renormalization group, realizes the emergent supersymmetric criticality in the universality class of the even series of the $\mathcal{N}\!=\!1$ superconformal minimal models characterized by a central charge $5/4$. This chain model describes the topological phase transition of the propagating Majorana edge mode in topological superconductors coupled with the two-flavour Ising magnetic fluctuations (or the $XZ$ type). Using bosonization and perturbative renormalization group, we show that the…
