Superpotential
View article
Supersymmetric Sachdev-Ye-Kitaev models Open
We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev model. These are quantum mechanical models involving N Majorana fermions. The supercharge is given by a polynomial expression in terms of the Majorana fermions with random…
View article
N = 1 $$ \mathcal{N}=1 $$ deformations and RG flows of N = 2 $$ \mathcal{N}=2 $$ SCFTs Open
We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an N=1 chiral multiplet transforming in the adjoint represe…
View article
Vacua with Small Flux Superpotential Open
We describe a method for finding flux vacua of type IIB string theory in which the Gukov-Vafa-Witten superpotential is exponentially small. We present an example with W_{0}≈2×10^{-8} on an orientifold of a Calabi-Yau hypersurface with (h^{…
View article
Supersymmetric Gauge Theories with Decoupled Operators and Chiral Ring Stability Open
We propose a general way to complete supersymmetric theories with operators below the unitarity bound, adding gauge-singlet fields that enforce the decoupling of such operators. This makes it possible to perform all usual computations, and…
View article
Dyonic ISO(7) supergravity and the duality hierarchy Open
Motivated by its well defined higher dimensional origin, a detailed study of\n$D=4$ $\\mathcal{N}=8$ supergravity with a dyonically gauged $\\textrm{ISO}(7) =\n\\textrm{SO}(7) \\ltimes \\mathbb{R}^7$ gauge group is performed. We write down…
View article
Robust Inflation from fibrous strings Open
Successful inflationary models should (i) describe the data well; (ii) arise generically from sensible UV completions; (iii) be insensitive to detailed fine-tunings of parameters and (iv) make interesting new predictions. We argue that a c…
View article
Newton–Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians Open
We use cluster structures and mirror symmetry to explicitly describe a\nnatural class of Newton-Okounkov bodies for Grassmannians. We consider the\nGrassmannian $X=Gr_{n-k}(\\mathbb C^n)$, as well as the mirror dual\nLandau-Ginzburg model …
View article
Maximal supersymmetry and B-mode targets Open
Extending the work of Ferrara and one of the authors, we present dynamical\ncosmological models of $\\alpha$-attractors with plateau potentials for\n$3\\alpha=1,2,3,4,5,6,7$. These models are motivated by geometric properties of\nmaximally…
View article
Opers, surface defects, and Yang-Yang functional Open
We explore the non-perturbative Dyson-Schwinger equations obeyed by the partition functions of the $\Omega$-deformed $\mathcal{N}=2, d=4$ supersymmetric linear quiver gauge theories in the presence of surface defects. We demonstrate that t…
View article
Asymptotically safe grand unification Open
Phenomenologically appealing supersymmetric grand unified theories have large gauge representations and thus are not asymptotically free. Their ultraviolet validity is limited by the appearance of a Landau pole well before the Planck scale…
View article
Bootstrapping O(N ) vector models with four supercharges in 3 ≤ d ≤ 4 Open
We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N ) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N )-fundamental chiral operators Z i…
View article
Stringy structure at the BPS bound Open
We explore the stringy structure of 1/2-BPS bound states of NS fivebranes carrying momentum or fundamental string charge, in the decoupling limits leading to little string theory and to AdS3/CFT2 duality. We develop an exact worldsheet des…
View article
Heterotic de Sitter beyond modular symmetry Open
A bstract We study the vacua of 4 d heterotic toroidal orbifolds using effective theories consisting of an overall Kähler modulus, the dilaton, and non-perturbative corrections to both the superpotential and Kähler potential that respect m…
View article
The Higgs mass and natural supersymmetric spectrum from the landscape Open
In supersymmetric models where the superpotential mu term is generated with mu2m(higgsino).
View article
DUBROVIN’S SUPERPOTENTIAL AS A GLOBAL SPECTRAL CURVE Open
We apply the spectral curve topological recursion to Dubrovin’s universal Landau–Ginzburg superpotential associated to a semi-simple point of any conformal Frobenius manifold. We show that under some conditions the expansion of the correla…
View article
A general classification of Starobinsky-like inflationary avatars of SU(2,1)/SU(2)×U(1) no-scale supergravity Open
A bstract Measurements of the cosmic microwave background (CMB) favour models of inflation with a small tensor-to-scalar ratio r , as predicted by the Starobinsky R + R 2 model. It has been shown previously that various models based on no-…
View article
Higgs and superparticle mass predictions from the landscape Open
Predictions for the scale of SUSY breaking from the string landscape go back at least a decade to the work of Denef and Douglas on the statistics of flux vacua. The assumption that an assortment of SUSY breaking F and D terms are present i…
View article
Are neutrino masses modular forms? Open
We explore a new class of supersymmetric models for lepton masses and mixing angles where the role of flavour symmetry is played by modular invariance. The building blocks are modular forms of level N and matter supermultiplets, both trans…
View article
N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries Open
We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The $U(2)$ ultraviolet global symmetry is often enhanced in the infrared, for instance to…
View article
Twisted Hilbert spaces of 3d supersymmetric gauge theories Open
A bstract We study aspects of 3d $$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechan…
View article
The curious incident of multi-instantons and the necessity of Lefschetz thimbles Open
Here, we show that compatibility of supersymmetry with exact semi-classics demands that in calculating multi-instanton amplitudes, the “separation” quasi-zeromode must be complexified and the integration cycles must be found by using compl…
View article
Higgs-otic inflation and moduli stabilization Open
We study closed-string moduli stabilization in Higgs-otic inflation in Type\nIIB orientifold backgrounds with fluxes. In this setup large-field inflation is\ndriven by the vacuum energy of mobile D7-branes. Imaginary selfdual (ISD)\nthree-…
View article
Interpolations from supersymmetric to nonsupersymmetric strings and their properties Open
The interpolation from supersymmetric to non-supersymmetric heterotic theories is studied, via the Scherk-Schwarz compactification of supersymmetric 6D theories to 4D. A general modular-invariant Scherk-Schwarz deformation is deduced from …
View article
δN formalism from superpotential and holography Open
We consider the superpotential formalism to describe the evolution of D scalar fields during inflation, generalizing it to include the case with non-canonical kinetic terms. We provide a characterization of the attractor behaviour of the b…
View article
Approximate R-symmetries and the µ term Open
We discuss the role of approximate U(1)R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM μ problem. We p…
View article
Properties of the new $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity Open
A bstract The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional $$ \mathcal{N} $$ = 8, SO(8) gauged supergravity using Machine Learning software in [1] has led to a discovery of a new $$ \m…
View article
Superpotential method for chiral cosmological models connected with modified gravity Open
We consider the Chiral Cosmological Models (CCMs) and modified gravity theories associated with them. Generalization of the superpotential method for a general CCM with several scalar fields is performed, and the method of construction CCM…
View article
Building Supergravity Quintessence Model Open
It was recently pointed out that the cosmological constant (even metastable one) belongs to the so-called "swampland" and hence cannot be obtained as the low-energy limit of string theory that requires $|\nabla V| > c V$. If true, the dark…
View article
The Coulomb Branch Formula for Quiver Moduli Spaces Open
In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable repres…
View article
Early Dark Energy in Type IIB String Theory Open
A bstract Early Dark Energy (EDE) is a promising model to resolve the Hubble Tension, that, informed by Cosmic Microwave Background data, features a generalization of the potential energy usually associated with axion-like particles. We de…