Publications (18)
Gravitational Decoupling and Picard-Lefschetz
Jon Brown, Alex Cole, William Cottrell +1
In this work, we consider tunneling between non-metastable states in gravitational theories. Such processes arise in various contexts, e.g., in inflationary scenarios where the inf…
Intersecting D3-D3' system at finite temperature
William Cottrell, James Hanson, Akikazu Hashimoto +2
We analyze the dynamics of intersecting D3/D3' brane system overlapping in 1+1 dimensions, in a holographic treatment where D3-branes are manifested as anti-de-Sitter Schwartzs…
On The Quasi-streamfunction Formalism for Waves and Vorticity
William Cottrell, Miao Tian, Alex Sheremet
The quasi-streamfunction (Psi) formalism proposed by Kim et. al. (J.W. Kim, K.J. Bai, R.C. Ertekin, W.C. Webster, J. Eng. Math. 40, 17 (2001)) provides a natural framework for syst…
Stability and boundedness in AdS/CFT with double trace deformations
Steven Casper, William Cottrell, Akikazu Hashimoto +2
Scalar fields on the bulk side of AdS/CFT correspondence can be assigned unconventional boundary conditions, related to the conventional one by Legendre transform. One can further…
On Axionic Field Ranges, Loopholes and the Weak Gravity Conjecture
Jon Brown, William Cottrell, Gary Shiu +1
In this short note we clarify some aspects of the impact that the Weak Gravity Conjecture has on models of (generalized) natural inflation. We address in particular certain technic…
Resolved gravity duals of quiver field theories in 2+1 dimensions
William Cottrell, Akikazu Hashimoto
We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of quiver gauge theory with gauge group , fundamentals charged under $…
Dynamics of supersymmetric field theories in 2+1 dimensions and their gravity dual
William Cottrell, James Hanson, Akikazu Hashimoto
In this note we consider SYM theories in 2+1 dimensions with gauge group and hypermultiplets charged under the . When , the the…
Fencing in the Swampland: Quantum Gravity Constraints on Large Field Inflation
Jon Brown, William Cottrell, Gary Shiu +1
In this note we show that models of natural inflation based on closed string axions are incompatible with the weak gravity conjecture (WGC). Specifically, we use T-duality in order…
How to Build the Thermofield Double State
William Cottrell, Ben Freivogel, Diego M. Hofman +1
Given two copies of any quantum mechanical system, one may want to prepare them in the thermofield double state for the purpose of studying thermal physics or black holes. However,…
Solitons on intersecting 3-branes
William Cottrell, Akikazu Hashimoto, Mohandas Pillai
We consider a system consisting of a pair of D3 branes intersecting each other along a line such that half of the 16 supersymmetries are preserved. We then study the existence of m…
Solitons on intersecting 3-Branes II: a holographic perspective
William Cottrell, Akikazu Hashimoto, Duncan Pettengill +1
We study the low energy effective theory of two sets of D3-branes overlapping in 1+1 dimensions, recently considered by Mintun, Polchinski, and Sun. In the original treatment by MP…
Stability and boundedness in AdS/CFT with double trace deformations II: Vector Fields
William Cottrell, Akikazu Hashimoto, Andrew Loveridge +1
We extend the analysis of boundedness and stability, initiated for scalar fields in anti de Sitter space in a previous work, to the case of vector fields. We show that the double t…
Complexity is Simple
William Cottrell, Miguel Montero
In this note we investigate the role of Lloyd's computational bound in holographic complexity. Our goal is to translate the assumptions behind Lloyd's proof into the bulk language.…
Comments on s-rule violating configurations in field theory
William Cottrell, Akikazu Hashimoto, Mohandas Pillai
We explicitly construct a configuration of supersymmetry Yang-Mills theory with gauge group on an interval on length with a D5-like boundary condition on on…
Comments on double trace deformations and boundary conditions
William Cottrell, Akikazu Hashimoto
We study the UV dynamics of deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion…
Gravity dual of dynamically broken supersymmetry
William Cottrell, Jerome Gaillard, Akikazu Hashimoto
We study a renormalization group flow of ABJM theory embedded into the warped A_8 geometry and explore the dependence of the vacuum structure on the parameters of the theory. This…
Tunneling in Axion Monodromy
Jon Brown, William Cottrell, Gary Shiu +1
The Coleman formula for vacuum decay and bubble nucleation has been used to estimate the tunneling rate in models of axion monodromy in recent literature. However, several of Colem…
Weak Gravity Conjecture and Extremal Black Holes
William Cottrell, Gary Shiu, Pablo Soler
Motivated by the desire to improve our understanding of the Weak Gravity Conjecture, we compute the one-loop correction of charged particles to the geometry and entropy of extremal…