47th Vietnam Conference on Theoretical Physics (VCTP47)
Hội nghị Vật lý lý thuyết Việt Nam lần thứ 47
Tuy Hòa, 14 August 2022

ProgrammeO.14  Oral, VCTP47 Date: Thursday, 4 August 2022 Time: 14:40  15:05 On the anisotropic constantroll inflation for the DiracBornInfeld model(1) Nguyen Hoang Duy, (2) Pham Manh Tuyen, (3) Do Quoc Tuan (1) Phenikaa Institute for Advanced Study, Phenikaa University, (2) Graduate University of Science and Technology, Vietnam Academy of Science and Technology We extend an anisotropic inflation model under the socalled constantroll condition for a canonical scalar field to that for the DiracBornInfeld scalar field – a string theoretic motivated model in which the canonical kinetic term, $\frac{1}{2}\partial^\mu\phi\partial_\mu\phi$, is replaced by the noncanonical one, $f^{1}(\phi)\left[1\sqrt{1+f(\phi)\partial^\mu\phi\partial_\mu\phi}\right]$. As a result, we find a set of consistent formalisms for the potential $V(\phi)$, a gauge kinetic function $h(\phi)$ in an unusual coupling between scalar and vector fields, $h^2(\phi)F_{\mu\nu}F^{\mu\nu}$, and the function $f(\phi)$, which give us the corresponding anisotropic inflationary solutions. Furthermore, we show that these new solutions are consistent with the canonical case and turn out to be stable via numerical calculations. Presenter: Nguyen Hoang Duy 
Institute of Physics, VAST

Center for Theoretical Physics 
Center for Computational Physics
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