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Related papers: $Sp(4,\mathbb{Z})$ modular inflation

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The angular power spectrum is investigated in the model of supergravity, incorporating the target-space duality and the non-perturbative gaugino condensation in the hidden sector. The inflation and supersymmetry breaking occur at once by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mitsuo J. Hayashi , Shiro Hirai , Yusuke Okame , Tomoki Watanabe

We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups $\Gamma$, that allow the presence of several moduli and make connection with the theory of automorphic forms.…

High Energy Physics - Theory · Physics 2021-02-03 Gui-Jun Ding , Ferruccio Feruglio , Xiang-Gan Liu

We demonstrate that a broad class of modular inflation models predicts the emergence of new physics within an energy range of approximately \( 10^{15} \, \mathrm{GeV} \) to \( 10^{17} \, \mathrm{GeV} \). This prediction arises by comparing…

High Energy Physics - Theory · Physics 2025-08-11 Shuntaro Aoki , Hajime Otsuka

We investigate the role of the Higgs field as a fundamental scalar in the Standard Model within the framework of modular inflation models, where a modulus field acts as the inflaton and its interactions are governed by an underlying modular…

High Energy Physics - Phenomenology · Physics 2025-08-06 Shuntaro Aoki , Hajime Otsuka , Ryota Yanagita

The finite symplectic group Sp(2g) over the field of two elements has a natural representation on the vector space of Siegel modular forms of given weight for the principal congruence subgroup of level two. In this paper we decompose this…

Algebraic Geometry · Mathematics 2008-05-05 Francesco Dalla Piazza , Bert van Geemen

We study the modifications induced on scalar field inflation produced by considering a general modification of the Heisenberg algebra. We proceed by modifying the Poisson brackets on the classical theory whenever the corresponding quantum…

General Relativity and Quantum Cosmology · Physics 2024-08-13 H. Garcia-Compean , D. Mata-Pacheco

We study a class of N=1 Supergravity inflationary models in which the evolution of the inflaton dynamics is controlled by a single power in the inflaton field at the point where the observed density fluctuations are produced, in the context…

Astrophysics · Physics 2009-11-10 M. C. Bento , N. M. C. Santos , A. A. Sen

We present novel realizations of E-model inflation within Supergravity which are largely associated with the existence of a pole of order one in the kinetic term of the (gauge-singlet) inflaton superfield. This pole arises due to the…

High Energy Physics - Phenomenology · Physics 2022-06-01 C. Pallis

We use modular symmetry as an organizing principle that attempts to simultaneously address the lepton flavor puzzle, inflation, and post-inflationary reheating. We demonstrate this approach using the finite modular group $A_4$ in the lepton…

High Energy Physics - Phenomenology · Physics 2025-11-05 Gui-Jun Ding , Si-Yi Jiang , Yong Xu , Wenbin Zhao

We propose a scalar inflationary potential as $V(\phi)=M^4\phi^{2n-2}(\phi^{2n}+m^{2n})^{1/n-1}$. This potential is similar to the shaft inflation one. However, they satisfy the $Z_2$ symmetry for all $n$. The potential may come from the…

High Energy Physics - Phenomenology · Physics 2026-05-19 Vo Quoc Phong

Potentials in cosmological inflation often involve scalars with trans-Planckian ranges. As a result, towers of states become massless and their presence pushes the fundamental scale not to coincide with $M_{\rm P}$ but rather with the…

High Energy Physics - Theory · Physics 2024-09-17 Gonzalo F. Casas , Luis E. Ibáñez

In a recent paper we proposed a new model of inflation based on the soft-breaking of N=2 supersymmetric SU(2) Yang-Mills theory. The advantage of such a model is the fact that we can write an exact expression for the effective scalar…

High Energy Physics - Phenomenology · Physics 2016-10-26 Juan Garcia-Bellido

Within supersymmetry we provide an example where the inflaton sector is derived from a gauge invariant polynomial of SU(N) or SO(N) gauge theory. Inflation in our model is driven by multi-flat directions, which assist accelerated expansion.…

High Energy Physics - Theory · Physics 2009-11-10 Asko Jokinen , Anupam Mazumdar

We show that an inflationary slow-roll potential can be derived as an IR limit of the non-perturbative exact renormalisation group equation for a scalar field within the mean-field approximation. The result follows without having to specify…

High Energy Physics - Theory · Physics 2016-08-15 Sašo Grozdanov , David Kraljic , Eirik Eik Svanes

We introduce the framework of modular inflation with level structure, generalizing the level one theory considered previously to higher levels. We analyze the modular structure of CMB observables in this framework and show that the…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-27 Monika Lynker , Rolf Schimmrigk

We study an inflationary model developed by Kaloper and Sorbo, in which the inflaton is an axion with a sub-Planckian decay constant, whose potential is generated by mixing with a topological 4-form field strength. This gives a 4d…

High Energy Physics - Theory · Physics 2011-03-18 Nemanja Kaloper , Albion Lawrence , Lorenzo Sorbo

In this paper we present a two-field inflation model, which distinguishes itself with a non-canonical kinetic lagrangian and comes from the large volume approach to the moduli stabilization in flux compactification of type IIB superstring…

High Energy Physics - Theory · Physics 2014-11-18 Huan-Xiong Yang , Hong-Liang Ma

We present novel realizations of Higgs inflation within Supergravity which are largely tied to the existence of a pole of order two in the kinetic term of the inflaton field. This pole arises due to the selected Kaehler potentials which…

High Energy Physics - Phenomenology · Physics 2022-04-05 C. Pallis

We propose new classes of inflation models based on the modular symmetry, where the modulus field $\tau$ serves as the inflaton. We establish a connection between modular inflation and modular stabilization, wherein the modulus field rolls…

High Energy Physics - Phenomenology · Physics 2024-10-21 Gui-Jun Ding , Si-Yi Jiang , Wenbin Zhao

We propose a class of models in which the $\eta$-problem of supersymmetric hybrid inflation is resolved using a Heisenberg symmetry, where the associated modulus field is stabilized and made heavy with the help of the large vacuum energy…

High Energy Physics - Phenomenology · Physics 2009-02-05 Stefan Antusch , Mar Bastero-Gil , Koushik Dutta , Steve F. King , Philipp M. Kostka