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7 papers · 2 filters
Finding all flux vacua in an explicit example
Danny Martinez-Pedrera, Dhagash Mehta, Markus Rummel +1
We explicitly construct all supersymmetric flux vacua of a particular Calabi-Yau compactification of type IIB string theory for a small number of flux carrying cycles and a given D…
Entropy of Quantum States: Ambiguities
A. P. Balachandran, A. R. de Queiroz, S. Vaidya
The von Neumann entropy of a generic quantum state is not unique unless the state can be uniquely decomposed as a sum of extremal or pure states. As pointed out to us by Sorkin, th…
Numerical Analyses on Moduli Space of Vacua
Jonathan Hauenstein, Yang-Hui He, Dhagash Mehta
We propose a new computational method to understand the vacuum moduli space of (supersymmetric) field theories. By combining numerical algebraic geometry (NAG) and elimination theo…
A Ground State for the Causal Diamond in 2 Dimensions
Niayesh Afshordi, Michel Buck, Fay Dowker +3
We apply a recent proposal for a distinguished ground state of a quantum field in a globally hyperbolic spacetime to the free massless scalar field in a causal diamond in two-dimen…
A Distinguished Vacuum State for a Quantum Field in a Curved Spacetime: Formalism, Features, and Cosmology
Niayesh Afshordi, Siavash Aslanbeigi, Rafael D. Sorkin
We define a distinguished "ground state" or "vacuum" for a free scalar quantum field in a globally hyperbolic region of an arbitrarily curved spacetime. Our prescription is motivat…
Numerical Algebraic Geometry: A New Perspective on String and Gauge Theories
Dhagash Mehta, Yang-Hui He, Jonathan D. Hauenstein
The interplay rich between algebraic geometry and string and gauge theories has recently been immensely aided by advances in computational algebra. However, these symbolic (Gröbner…