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- [[image:Cone category 2obj.svg|frame|right|Cone category over (C1, C2).]] ...e any two objects in category <math>\mathcal{C}</math>. We define the cone category, <math>\mathcal{C}one(C_1, C_2)</math>, as follows ...30 KB (5,265 words) - 15:59, 19 April 2023
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- ==Enriched Category Theory== ...a new, contributed topic on enrichments of [[../TrivialGroupoid/|category theory]], including a weak [[../AbelianCategoryEquivalenceLemma/|Yoneda lemma]], [ ...2 KB (256 words) - 05:12, 12 September 2020
- ...operator product expansion]] of [[w:Conformal field theory|conformal field theory]] is analogous to the product of functions over a manifold in [[w:Harmonic == Harmonic analysis in limits of two-dimensional CFTs == ...4 KB (611 words) - 21:51, 4 December 2021
- [[w:Two-dimensional_conformal_field_theory|Two-dimensional conformal field theory]] has been an active topic of research since the 1980s, with applications t * [[Boundary Liouville theory]] with <math>c\leq 1</math>. ...4 KB (497 words) - 11:29, 30 October 2024
- The first section introduces the theory. Next comes a demonstration of the technique; this is followed by a section To understand the theory: ...9 KB (1,502 words) - 04:04, 10 May 2019
- ...hat when we plug in the limits of integration from -L to L we get for both limits however the limits of integration are the same, so we know that the integral is zero. ...12 KB (1,934 words) - 14:02, 12 November 2023
- ...ville field theory|Liouville theory]] is an interesting 2d conformal field theory, which has been solved in the sense that 3pt structure constants are exactl The theory is also quite well understood in the presence of a boundary, with boundary ...4 KB (606 words) - 11:36, 30 October 2024
- ...U</math> of <math>\mathcal{C}</math> is said to be a ''generator'' of the category <math>\mathcal{C}</math> provided that <math>U</math> belongs to the family ...lways be cogenerated ''via'' duality. Moreover, any generator in the dual category <math>\mathcal{C}^{op}</math> is a cogenerator of <math>\mathcal{C}</math>. ...8 KB (1,278 words) - 15:29, 12 September 2020
- ...case of the concept of a [[w:en:Limit (category theory)|limit in category theory]]. ...or students can use the slides in seminars to explain the topic of inverse limits. ...21 KB (3,325 words) - 11:52, 3 December 2022
- ...an ''elementary topos'' , or a ''standard topos'' , as a special [[../Cod/|category]] <math>\tau</math> are: *{\mathbf i.} <math>\tau</math> has finite limits ...2 KB (375 words) - 16:16, 12 September 2020
- ...bras]] ([[../2Groupoid2/|HDA]]). Therefore, [[../TrivialGroupoid/|category theory]] in higher dimensions/HDA When viewed from a formal perspective of Poli's theory of levels (Baianu and Poli, 2008), the two levels of super-- and ultra-- co ...9 KB (1,166 words) - 03:31, 13 September 2020
- ...minimal models]]. Here we would like to explore a more recently discovered theory, which is supposed to exist for all values of the [[w:Virasoro algebra|Vira * Unifying known solvable CFTs such as [[w:Liouville theory|Liouville theory]] and [[w:Minimal models|minimal models]], by understanding the analytic pr ...5 KB (795 words) - 22:45, 15 January 2020
- [[Category:Open essay collections]] [[Category:Open essay collections]] ...19 KB (2,762 words) - 21:24, 17 March 2025
- In science, when a new theory overthrows an old one a discussion or debate about relevant errors takes pl Error formulae and how they can save time over plugging in limits. Propagating errors for e = |v_f / v_i|. ...17 KB (2,911 words) - 01:26, 3 April 2019
- ...ytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continu ...ex analysis, functional analysis, partial differential equations, Lebesgue theory, calculus on manifolds, and the integration of differential forms. ...8 KB (1,378 words) - 14:08, 25 June 2023
- ...n a limited volume, but in the entire infinite volume that goes beyond the limits of a closed physical system. Then the last integral on the right-hand side In the theory of vector fields, the contribution of the charges and the electromagnetic f ...15 KB (2,399 words) - 14:52, 24 July 2021
- ...[[w:two-dimensional conformal field theory|two-dimensional conformal field theory]]. There may be a realistic prospect of solving it, in the sense of analyti ===Limits and special cases=== ...14 KB (2,026 words) - 17:09, 30 November 2021
- ...cks are the basic special functions of [[w:two-dimensional conformal field theory]]. They are essential ingredients for computing correlation functions, whic ...sentation of the conformal blocks that appear in minimal models, by taking limits of Zamolodchikov's recursive representation when the central charge becomes ...5 KB (813 words) - 10:17, 30 October 2024
- ...f functions such as [[continuous|continuity]]. It also includes [[measure theory]]. ...reader should be quite familiar with the concepts of calculus, especially limits and continuity. ...12 KB (2,118 words) - 10:24, 21 February 2025
- ...litudes are found to be independent of the lattice size, so their critical limits can be determined from any lattice that is large enough to allow for the de ...ity amplitudes or to <math>\mathcal{N}=4</math> supersymmetric Yang-Mills theory, qualitatively new features have been observed to arise at pretty high orde ...8 KB (1,280 words) - 03:17, 25 September 2021
- Role of the light, heavy limits. ...solvability of [[w:minimal model (physics)|minimal models]], [[w:Liouville theory]], etc. But the total conformal dimension is then ...8 KB (1,272 words) - 13:35, 17 December 2021