Walter Thirring (1927-2020) was a notable Austrian physicist and mathematician, primarily recognized for his contributions to theoretical physics and mathematical physics. His research encompassed various areas, including quantum mechanics, quantum field theory, and the foundations of physics. Thirring is particularly well-known for the Thirring Model, a theoretical model in quantum field theory that describes interacting fermions.

Quantum groups are a class of mathematical structures that arise in the study of quantum mechanics and representation theory, particularly in the context of non-commutative geometry. They were introduced in the late 1980s by mathematicians such as Vladimir Drinfeld and Michio Jimbo. At their core, quantum groups are algebraic structures that generalize certain concepts from the theory of groups and are defined in a way that incorporates the principles of quantum physics.

The Kontsevich quantization formula is a fundamental result in the field of mathematical physics and noncommutative geometry, associated with the process of quantizing classical systems. Specifically, it provides a method for constructing a star product, which is a way of defining a noncommutative algebra of observables from a classical Poisson algebra.

Lagrangian foliation is a concept that arises in the field of symplectic geometry, which is a branch of differential geometry and mathematics concerned with structures that allow for a generalization of classical mechanics. In this context, a foliation is a decomposition of a manifold into a collection of submanifolds, called leaves, which locally look like smaller, simpler pieces of the original manifold.

The Moyal bracket is a mathematical construct used in the framework of quantum mechanics, particularly in the study of phase space formulations of quantum theory. It is an essential tool in the field of deformation quantization and provides a way to define non-commutative observables. The Moyal bracket is analogous to the Poisson bracket in classical mechanics but is formulated in the context of functions on phase space that are treated as quantum operators.

Second quantization is a formalism used in quantum mechanics and quantum field theory to describe and manipulate systems with varying particle numbers. It is particularly useful for dealing with many-body systems, where traditional first quantization methods become cumbersome. In the first quantization approach, particles are described by wave functions, and the focus is on the states of individual particles. However, this approach struggles to accommodate phenomena like particle creation and annihilation, which are crucial in fields like quantum field theory.

Theta representation, often referred to in the context of machine learning and statistics, typically means using a parameterized model to represent a certain set of data or a function. In such a representation, "theta" (θ) is commonly used to denote the parameters of the model. In different contexts, it might mean slightly different things: 1. **Statistics and Machine Learning**: In regression models or other predictive models, θ represents the coefficients or parameters that define the model.

In theoretical physics, particularly in the context of conformal field theory (CFT) and string theory, the term "central charge" refers to a specific parameter that characterizes the anomaly and the structure of the algebra of symmetries of a quantum field theory.

The Kerr/CFT correspondence is a theoretical idea in the field of theoretical physics that relates the properties of black holes, specifically rotating black holes described by the Kerr solution of general relativity, to conformal field theories (CFTs) defined on the boundary of the black hole's spacetime. ### Key Concepts: 1. **Kerr Black Holes**: These are solutions to the equations of general relativity that describe a rotating black hole.

In physics, particularly in the context of theoretical physics and cosmology, a "minimal model" refers to a simplified theoretical framework that captures the essential features of a particular phenomenon while disregarding unnecessary complexities. Minimal models are often used in various branches of physics, such as particle physics, cosmology, condensed matter physics, and more. The purpose of a minimal model is to provide a starting point for understanding a system or to serve as a baseline for more complicated scenarios.

The Super Virasoro algebra is an extension of the Virasoro algebra that incorporates both bosonic and fermionic elements, making it a fundamental structure in the study of two-dimensional conformal field theories and string theory. It generalizes the properties of the Virasoro algebra, which is vital in the context of two-dimensional conformal symmetries. ### Structure of the Super Virasoro Algebra 1.

W-algebras are a class of algebraic structures that arise in the study of two-dimensional conformal field theory and related areas in mathematical physics. They generalize the Virasoro algebra, which is the algebra of conserved quantities associated with two-dimensional conformal symmetries.

A Hamiltonian system is a mathematical formulation of classical mechanics that describes the evolution of a physical system in terms of its momenta and positions. It is based on Hamiltonian mechanics, which is an alternative to the more common Lagrangian mechanics.

The Hamilton–Jacobi equation is a fundamental equation in classical mechanics that describes the evolution of dynamical systems. It is named after William Rowan Hamilton and Carl Gustav Jacobi, who contributed to the development of Hamiltonian mechanics. The equation can be seen as a reformulation of Newton's laws of motion and serves as a bridge between classical mechanics and other areas of physics, including quantum mechanics and optimal control theory.

Minimal coupling is a concept often used in theoretical physics, particularly in the context of quantum field theory and general relativity. It refers to a way of introducing interaction terms between fields in a manner that preserves the symmetries of the theory while introducing minimal modifications to the existing structure of the equations. In the context of gauge theories, for example, minimal coupling involves replacing ordinary derivatives in the equations of motion with covariant derivatives. This is done to ensure that the theory remains invariant under local gauge transformations.

Coordinate transformations are mathematical operations that change the representation of a point or set of points in a coordinate system. Here’s a list of common coordinate transformations: 1. **Translation**: Moves points by a constant vector.

Phase space is a concept used in physics and mathematics to represent the state of a dynamic system. It is particularly useful in the fields of classical mechanics, statistical mechanics, and quantum mechanics. In phase space, each possible state of a system is represented by a point, with dimensions corresponding to the degrees of freedom of the system.

Conformal gravity is a theoretical framework in gravity research that extends the principles of general relativity by focusing on conformal invariance, which is a symmetry involving the scaling of the metric tensor without altering the underlying physics. In simpler terms, conformal gravity posits that physical phenomena should remain unchanged under transformations that scale distances uniformly, which is a more generalized symmetry than the Lorentz invariance of general relativity.

The Palatini variation, often discussed in the context of the Einstein-Hilbert action in general relativity, refers to a particular formulation of the variational principle from which the equations of motion for a gravitational field can be derived. In general relativity, one can employ different approaches to derive the field equations, and one such approach is the Palatini formalism, which differs from the more common metric formulation.

Iberpac is not a widely recognized term or brand as of my last knowledge update in October 2021. It might refer to a specific company, product, or entity in a particular industry, possibly related to packaging, logistics, or a geographical association with the Iberian Peninsula. However, since this term isn't widely known, it could also be a newer development or a niche product that has emerged after my last update.