Chaotic inflation in no-scale supergravity with string inspired moduli stabilization

Tianjun Li; Zhijin Li; Dimitri V. Nanopoulos

doi:10.1140/epjc/s10052-015-3291-2

EPJ

Chaotic inflation in no-scale supergravity with string inspired moduli stabilization

Tianjun Li¹^,2^*, Zhijin Li³ and Dimitri V. Nanopoulos³^,4^,5

¹ State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
² School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China
³ George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA
⁴ Astroparticle Physics Group, Houston Advanced Research Center (HARC), Mitchell Campus, Woodlands, TX, 77381, USA
⁵ Division of Natural Sciences, Academy of Athens, 28 Panepistimiou Avenue, Athens, 10679, Greece

Received: 24 November 2014
Accepted: 24 January 2015
Published online: 5 February 2015

Abstract

The simple chaotic inflation is highly consistent with the BICEP2 experiment, and no-scale supergravity can be realized naturally in various string compactifications. Thus, we construct a chaotic inflation model in no-scale supergravity inspired from Type IIB string compactification with an anomalous $$U(1)_X$$

gauged symmetry. We introduce two moduli $$T_1$$

and

which transform non-trivially under $$U(1)_X$$

, and some pairs of fundamental quarks charged under the $SU(N)\times U(1)_X$ gauge group. The non-trivial transformations of moduli under $$U(1)_X$$

lead to a moduli-dependent Fayet–Iliopoulos (FI) term. The modulus $$T_2$$

and the real component of $$T_1$$

are stabilized by the non-perturbative effect from quark condensation and the $$U(1)_X$$

D-term. In particular, the stabilization from the anomalous $$U(1)_X$$

D-term with moduli-dependent FI term is crucial for inflation since it gives heavy mass to the real component of the modulus $$T_1$$

while keeping its axionic part light. Choosing the proper parameters, we obtain a global Minkowski vacuum where the imaginary part of $$T_1$$

has a quadratic potential for chaotic inflation.

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EPJ

Chaotic inflation in no-scale supergravity with string inspired moduli stabilization

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