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17 papers · 1 filter
AdS plane waves and entanglement entropy
K. Narayan, Tadashi Takayanagi, Sandip P. Trivedi
AdS plane waves describe simple backgrounds which are dual to anisotropically excited systems with energy fluxes. Upon dimensional reduction, they reduce to hyperscaling violating…
Betti tables of -Borel-fixed ideals
Giulio Caviglia, Manoj Kummini
In this note we provide a counter-example to a conjecture of K. Pardue [Thesis, Brandeis University, 1994.], which asserts that if a monomial ideal is -Borel-fixed, then its $\n…
The Parametric Ordinal-Recursive Complexity of Post Embedding Problems
Prateek Karandikar, Sylvain Schmitz
Post Embedding Problems are a family of decision problems based on the interaction of a rational relation with the subword embedding ordering, and are used in the literature to pro…
Bounds for the Multiplicity of Gorenstein algebras
Sabine El Khoury, Manoj Kummini, Hema Srinivasan
We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg theory to obtain a decomposition of th…
Model Checking Parse Trees
Anudhyan Boral, Sylvain Schmitz
Parse trees are fundamental syntactic structures in both computational linguistics and compilers construction. We argue in this paper that, in both fields, there are good incentive…
Constraint algebra in LQG reloaded : Toy model of an Abelian gauge theory - II Spatial Diffeomorphisms
Adam Henderson, Alok Laddha, casey Tomlin
In [1] we initiated an approach towards quantizing the Hamiltonian constraint in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free representation of constra…