Results 21 to 30 of about 3,689 (160)
Holography, matrix factorizations and K-stability
Journal of High Energy Physics, 2020 Placing D3-branes at conical Calabi-Yau threefold singularities produces many AdS5/CFT4 duals. Recent progress in differential geometry has produced a technique (called K-stability) to recognize which singularities admit conical Calabi-Yau metrics.
Marco Fazzi, Alessandro Tomasiello
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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Today’s menu: Geometry and resolution of singular algebraic surfaces [PDF]
Bulletin of the American Mathematical Society, 2010 The courses are Triviality, Tangency, Transversality, Symmetry, Simplicity, Singularity. These characteristic local plates serve as our invitation to algebraic surfaces and their resolution. Please take a seat.
Hauser, Herwig, Faber, Eleonore
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Dynamics and Geometry of Entanglement in Many-Body Quantum Systems [PDF]
International Journal of Geometric Methods in Modern Physics (IJGMMP), 2023 A new framework is formulated to study entanglement dynamics in many-body quantum systems along with an associated geometric description. In this formulation, called the Quantum Correlation Transfer Function (QCTF), the system's wave function or density ...
Peyman Azodi, H. Rabitz
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Kinematic Comparisons of Hybrid Mechanisms for Bone Surgery: 3-PRP-3-RPS and 3-RPS-3-PRP
Machines, 2022 This paper proposes an approach to derive the Jacobian matrix of a hybrid mechanism by applying a velocity operator to the transformation matrix. This Jacobian matrix is capable of deducing hybrid singularities, which cannot be identified by using the ...
Christopher Reinaldo +3 more
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A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds
Journal of High Energy Physics, 2023 Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal T 2 bundles over K3. We consider a worldsheet description of these backgrounds as gauged linear sigma-models (GLSMs) with (0,
Dan Israël, Yann Proto
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Topology of Spaces of Valuations and Geometry of Singularities [PDF]
, 2017 Given an algebraic variety X defined over an algebraically closed field, we study the space RZ(X,x) consisting of all the valuations of the function field of X which are centered in a closed point x of X. We concentrate on its homeomorphism type.
A. Felipe
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Worldline formalism for a confined scalar field
Journal of High Energy Physics, 2019 The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes
Olindo Corradini +4 more
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Inner metric geometry of complex algebraic surfaces with isolated singularities [PDF]
, 2007 We produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conical, i.e., the germs of the surfaces near singular points are not bi‐Lipschitz equivalent, with respect to the inner metric,
L. Birbrair, A. Fernandes
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