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Edward Witten
Edward Witten (born August 26, 1951) is an American theoretical physics, theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus in the school of natural sciences at the Institute for Advanced Study in Princeton, New Jersey, Princeton. Witten is a researcher in string theory, quantum gravity, supersymmetry, supersymmetric quantum field theories, and other areas of mathematical physics. Witten's work has also significantly impacted pure mathematics. In 1990, he became the first physicist to be awarded a Fields Medal by the International Mathematical Union, for his mathematical insights in physics, such as his 1981 proof of the positive energy theorem in general relativity, and his interpretation of the Vaughan Jones, Jones invariants of knots as Feynman integrals. He is considered the practical founder of M-theory.Duff 1998, p. 65 Early life and education Witten was born on A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Baltimore
Baltimore is the most populous city in the U.S. state of Maryland. With a population of 585,708 at the 2020 census and estimated at 568,271 in 2024, it is the 30th-most populous U.S. city. The Baltimore metropolitan area is the 20th-largest metropolitan area in the country at 2.84 million residents. The city is also part of the Washington–Baltimore combined statistical area, which had a population of 9.97 million in 2020. Baltimore was designated as an independent city by the Constitution of Maryland in 1851. Though not located under the jurisdiction of any county in the state, it forms part of the central Maryland region together with the surrounding county that shares its name. The land that is present-day Baltimore was used as hunting ground by Paleo-Indians. In the early 1600s, the Susquehannock began to hunt there. People from the Province of Maryland established the Port of Baltimore in 1706 to support the tobacco trade with Europe and established the Town ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Quantum Field Theory
In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological invariants. While TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for mathematical work related to topological field theory. In condensed matter physics, topological quantum field theories are the low-energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states. Overview In a topological field theory, correlation functions do not depend on the metric of spacetime. This means that the theory is not sensitive to changes in the shape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louis Witten
Louis W. Witten (born April 13, 1921)ORAL HISTORIES: Louis Witten interviewed by Dean Rickles & Donald Salisbury, at the ; March 17, 2011; retrieved December 13, 2021 is an American and the father of the physicist . Witten's research has centered on classical |
Daniela Witten
Daniela M. Witten is an American biostatistician. She is a professor and the Dorothy Gilford Endowed Chair of Mathematical Statistics at the University of Washington. Her research investigates the use of machine learning to understand high-dimensional data. Early life and education Witten studied mathematics and biology at Stanford University, graduating in 2005. She remained there for her postgraduate research, earning a master's degree in statistics in 2006. She was awarded the American Statistical Association Gertrude Mary Cox Scholarship in 2008. Her doctoral thesis, ''A penalized matrix decomposition, and its applications'' was supervised by Robert Tibshirani. She worked with Trevor Hastie on canonical correlation analysis. She co-authored ''An Introduction to Statistical Learning'' in 2013. Research and career Witten applies statistical machine learning to personalised medical treatments and decoding the genome. She uses machine learning to analyse data sets in n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ilana B
Ilana is a feminine given name with various origins including Celtic, Greek and Hebrew. In the Celtic Languages, it is a variant of the name Alana, meaning “beautiful” or “child.” It is also considered an anglicized version of the Gaelic name Eileanach, meaning "islander." In the Greek language, it is a variant of the name Helen, meaning "torch" or "shining.” In Hebrew, it is the female form of the word ilan (אִילָן), meaning “tree,” or of the masculine name Ilan. Notable people with the name include: * Ilana Adir (born 1941), Israeli Olympic sprinter * Ilana Avital (born 1960), Israeli singer * Ilana Krausman Ben-Amos (born 1949), Israeli professor * Ilana Berger (born 1965), Israeli tennis player * Ilana Casoy (born 1960), Brazilian writer * Ilana Cicurel (born 1972), French lawyer and politician * Ilana Cohen (born 1943), Israeli politician * Ilana Davidson, American operatic soprano * Ilana Dayan (born 1964), Israeli journalist * Ilana Duff, Canadian Paraly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chiara Nappi
Chiara Rosanna Nappi (born 21 February 1951) is an Italian physicist. Her research areas have included mathematical physics, particle physics, and string theory. Academic career Nappi obtained the Diploma della Scuola di Perfezionamento in physics from the University of Naples in 1976. Her advisor was Giovanni Jona-Lasinio of the University of Rome. She moved to the United States to carry out academic research, first at Harvard University, and later at Princeton University and the Institute for Advanced Study. She has since been a professor of physics at the University of Southern California (1999–2001) and Princeton University (2001–present). In May 2013, Nappi obtained emerita status in Princeton. Research Chiara Nappi's early work focused on rigorous statistical mechanics. Her work with R. Figari and R. Hoegh-Krohn resulted in one of the first proposals of a thermal interpretation of quantum field theory in de Sitter space. In the 1980s, with G. Adkins and E. Witten, sh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eta And Eta Prime Mesons
The eta () and eta prime meson () are isosinglet mesons made of a mixture of up, down and strange quarks and their antiquarks. The charmed eta meson () and bottom eta meson () are similar forms of quarkonium; they have the same spin and parity as the (light) defined, but are made of charm quarks and bottom quarks respectively. The top quark is too heavy to form a similar meson, due to its very fast decay. General The eta was discovered in pion–nucleon collisions at the Bevatron in 1961 by Aihud Pevsner et al. at a time when the proposal of the Eightfold Way was leading to predictions and discoveries of new particles from symmetry considerations. The difference between the mass of the and that of the is larger than the quark model can naturally explain. This " puzzle" can be resolved by the 't Hooft instanton mechanism, whose realization is also known as the Witten–Veneziano mechanism. Specifically, in QCD, the higher mass of the is very significant, since ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Positive Energy Theorem
The positive energy theorem (also known as the positive mass theorem) refers to a collection of foundational results in general relativity and differential geometry. Its standard form, broadly speaking, asserts that the gravitational energy of an isolated system is nonnegative, and can only be zero when the system has no gravitating objects. Although these statements are often thought of as being primarily physical in nature, they can be formalized as mathematical theorems which can be proven using techniques of differential geometry, partial differential equations, and geometric measure theory. Richard Schoen and Shing-Tung Yau, in 1979 and 1981, were the first to give proofs of the positive mass theorem. Edward Witten, in 1982, gave the outlines of an alternative proof, which were later filled in rigorously by mathematicians. Witten and Yau were awarded the Fields medal in mathematics in part for their work on this topic. An imprecise formulation of the Schoen-Yau / Witten pos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chern–Simons Theory
The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert Schwarz. It is named after mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the Chern–Simons 3-form. In the Chern–Simons theory, the action is proportional to the integral of the Chern–Simons 3-form. In condensed-matter physics, Chern–Simons theory describes composite fermions and the topological order in fractional quantum Hall effect states. In mathematics, it has been used to calculate knot invariants and three-manifold invariants such as the Jones polynomial. Particularly, Chern–Simons theory is specified by a choice of simple Lie group G known as the gauge group of the theory and also a number referred to as the ''level'' of the theory, which is a constant that multiplies the action. The action is gauge dependent, however the partition function of the quantum theory is well-defined whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Twistor String Theory
Twistor string theory is an equivalence between N = 4 supersymmetric Yang–Mills theory and the perturbative topological B model string theory in twistor space. It was initially proposed by Edward Witten in 2003. Twistor theory was introduced by Roger Penrose from the 1960s as a new approach to the unification of quantum theory with gravity. Twistor space is a three-dimensional complex projective space in which physical quantities appear as certain structural deformations. Spacetime and the familiar physical fields emerge as consequences of this description. But twistor space is chiral (handed) with left- and right-handed objects treated differently. For example, the graviton for gravity and the gluon for the strong force are both right-handed.Twistor theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hanany–Witten Transition
In theoretical physics the Hanany–Witten transition, also called the Hanany–Witten effect, refers to any process in a superstring theory in which two p-branes cross resulting in the creation or destruction of a third p-brane. A special case of this process was first discovered by Amihay Hanany and Edward Witten in 1996. All other known cases of Hanany–Witten transitions are related to the original case via combinations of S-dualities and T-dualities. This effect can be expanded to string theory, 2 strings cross together resulting in the creation or destruction of a third string. The original effect The original Hanany–Witten transition was discovered in type IIB superstring theory in flat, 10-dimensional Minkowski space. They considered a configuration of NS5-branes, D5-branes and D3-branes which today is called a Hanany–Witten brane cartoon. They demonstrated that a subsector of the corresponding open string theory is described by a 3-dimensional Yang–Mil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Witten Zeta Function
In mathematics, the Witten zeta function, is a function associated to a root system that encodes the degrees of the irreducible representations of the corresponding Lie group In mathematics, a Lie group (pronounced ) is a group (mathematics), group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Eucli .... These zeta functions were introduced by Don Zagier who named them after Edward Witten's study of their special values (among other things). Note that in, Witten zeta functions do not appear as explicit objects in their own right. Definition If G is a compact semisimple Lie group, the associated Witten zeta function is (the meromorphic continuation of) the series :\zeta_G(s)=\sum_\rho\frac, where the sum is over equivalence classes of irreducible representations of G. In the case where G is connected and simply connected, the correspondence between represen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
