Research
I am interested in theoretical physics, especially string theory, string phenomenology, particle physics, and quantum information.
Undergraduate Thesis
Title: Warped Compactification in Supergravity: A p-Brane Model.
Supervisor: Dr. Ratul Mahanta (USTC, Hefei).
Abstract: In 4D particle phenomenology beyond the Standard Model, warped compactification of higher dimensional gravity provides a geometric mechanism for generating large hierarchies of 4D physical scales. However, realizing such backgrounds in supergravity is constrained by the Maldacena-Nuñez no-go theorem. Under its assumptions, two-derivative supergravity with positive-energy ingredients obstructs nontrivially warped compactifications to de Sitter or Minkowski space. In string theory, we can evade such a restriction by adding negative tension sources, such as orientifold planes, to the theory. We study the role of negative tension sources for a p-brane model, which can be generalized to a type II supergravity. We explicitly construct the localized source action for this model using Dirac-Born-Infeld and Wess-Zumino terms and match it to the p-brane background with compact internal space. We find that the compactness of the internal space requires an effective negative-tension source. Hence, we get an analogous realization of the mechanism by which orientifold-like negative-tension sources allow warped backgrounds in string theory.
Undergraduate Research Assistant
PI: Professor Mahbubul Alam Majumdar (BRAC University). Co-PI: Dr. Ratul Mahanta (USTC, Hefei) and Ahmed Rakin Kamal (Masaryk University).
Worked on a project titled "Time Dependent Backgrounds in String Theory and Early Universe Cosmology." Received a grant of 4,000 USD from the Research Seed Grant Initiative of BRAC University.
Research Internship
Supervisor: Dr. Ratul Mahanta (USTC, Hefei).
Internship report: "The anatomy of non-vacuum Kasner branes" .
I studied time-dependent backgrounds in string theories and reviewed "Kasner Branes with Arbitrary Signature" by Wafic A. Sabra. I studied differential forms and variational techniques to derive equations of motion from actions and solve non-linear differential equations.