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- ...y|Unitary conformal field theories]] are the subject of many numerical [[w:conformal bootstrap|bootstrap]] studies. These studies rely on the positivity of squa ...olvable examples of two-dimensional [[w:minimal models]] and [[w:Liouville theory]], unitarity does not play an important role in the structure and solvabili ...5 KB (684 words) - 21:04, 27 May 2021
- ...operator product expansion]] of [[w:Conformal field theory|conformal field theory]] is analogous to the product of functions over a manifold in [[w:Harmonic ...ctrum, numerical bootstrap methods can derive bounds on quantities such as conformal dimensions, using [[w:semidefinite programming|semidefinite programming]].< ...4 KB (611 words) - 21:51, 4 December 2021
- ''A graduate course on conformel field theory (CFT), with 18 hours lectures and 18 hours tutorials.'' ...and loop models. We also introduce CFTs that have extra symmetries beyond conformal symmetry, such as free bosons and Wess-Zumino-Witten models. ...8 KB (1,150 words) - 16:52, 17 February 2025
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- [[w:Two-dimensional_conformal_field_theory|Two-dimensional conformal field theory]] has been an active topic of research since the 1980s, with applications t === Algebraic structures and conformal blocks === ...4 KB (497 words) - 11:29, 30 October 2024
- ...f the [[../10DBrane/|superstring]] `theories'). Other, possible, conformal theory developments based on Einstein's special relativity ([[../SR/|SR]]) theory are also concisely discussed. ...3 KB (369 words) - 16:12, 4 October 2023
- ...operator product expansion]] of [[w:Conformal field theory|conformal field theory]] is analogous to the product of functions over a manifold in [[w:Harmonic ...ctrum, numerical bootstrap methods can derive bounds on quantities such as conformal dimensions, using [[w:semidefinite programming|semidefinite programming]].< ...4 KB (611 words) - 21:51, 4 December 2021
- === ESDI: Conformal dimensions of non-diagonal fields === ...rimary fields with integer conformal spins, in a CFT that has a degenerate field <math>V^d_{\langle 1,3\rangle}</math>. We assume <math>\Re \beta^2>0</math> ...3 KB (452 words) - 16:57, 10 March 2025
- [[Wikipedia:Virasoro conformal block|Virasoro conformal blocks]] have several series representations, but it is not proved that the ...dia:two-dimensional conformal field theory|two-dimensional conformal field theory]]. Understanding their analytic properties, and computing them efficiently, ...6 KB (816 words) - 08:18, 28 September 2020
- ...chikov's recursive representation of [[w:Virasoro conformal block|Virasoro conformal blocks]] is a powerful computational tool at generic [[w:Virasoro algebra|c ...ortant observables. In particular, they play a fundamental role in the [[w:conformal bootstrap]] approach. ...5 KB (813 words) - 10:17, 30 October 2024
- ''A graduate course on conformel field theory (CFT), with 18 hours lectures and 18 hours tutorials.'' ...and loop models. We also introduce CFTs that have extra symmetries beyond conformal symmetry, such as free bosons and Wess-Zumino-Witten models. ...8 KB (1,150 words) - 16:52, 17 February 2025
- ...e functions that play an important role in two-dimensional conformal field theory. They do not have simple expressions in terms of well-known special, funct ...nd <math>h_p\to \infty</math>, where <math> h_p</math> is the intermediate conformal dimension. Using insight from the 2d/4d correspondence (also known as the [ ...4 KB (621 words) - 03:16, 25 September 2021
- ...y|Unitary conformal field theories]] are the subject of many numerical [[w:conformal bootstrap|bootstrap]] studies. These studies rely on the positivity of squa ...olvable examples of two-dimensional [[w:minimal models]] and [[w:Liouville theory]], unitarity does not play an important role in the structure and solvabili ...5 KB (684 words) - 21:04, 27 May 2021
- ==M-theory== ...n also unified with previous [[../AntiCommutationRelations/|supergravity]] theory in 11 dimensions. ...3 KB (340 words) - 15:41, 12 September 2020
- ...namely a [[w:W-algebra]]. While Liouville theory is solved, conformal Toda theory is more challenging. ...of primary fields determine three-point functions of descendant fields via conformal Ward identities. In other words, fusion multiplicity is always one. This is ...7 KB (1,106 words) - 22:00, 10 June 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
- ...nsion (Riemann surface) thereof. It notably has great importance in number theory, e.g. the [[Riemann zeta function]] (for the distribution of primes) and ot ==''' Conformal Mapping '''== ...5 KB (699 words) - 15:11, 1 March 2025
- # Does the Virasoro algebra's central term affect global conformal transformations? # For <math>V_\Delta</math> a primary field, write the OPE of the energy-momentum tensor <math>T</math> with <math>L_{- ...6 KB (990 words) - 12:15, 4 March 2025
- ...ssing symmetry equation. Crossing symmetry is commonly written in terms of conformal blocks, but it is also possible to eliminate the blocks and write it in ter # The clause "From the conformal blocks viewpoint" could be eliminated. ...7 KB (1,171 words) - 03:17, 25 September 2021
- ...tions between correlation functions of [[w:Two-dimensional conformal field theory|two-dimensional CFTs]] with different symmetry algebras, since little progr ...ing contact with CFTs such as the [[w:conformal Toda theory|conformal Toda theory]] based on an algebra <math>W_{N\geq 3}</math>, which includes a generator ...11 KB (1,565 words) - 03:16, 25 September 2021
- ...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 ...properties of correlation functions as functions of the central charge and conformal dimensions. ...5 KB (795 words) - 22:45, 15 January 2020
- ...del (physics)|minimal models]], [[w:Liouville theory]], etc. But the total conformal dimension is then ...tegrable approaches to conformal blocks. The relation between [[w:Virasoro conformal blocks]] at <math>c=1</math> and solutions of the Painlevé VI equation invo ...8 KB (1,272 words) - 13:35, 17 December 2021
- ..., in particular [[non-unitary conformal field theory|non-unitary conformal field theories]]. ...blocks, from global structure constants, which are coefficients of global conformal blocks. ...10 KB (1,479 words) - 17:34, 7 June 2021
- In conformal field theory, the observables are correlation functions. An n-point correlation function where <math>\mathcal{O}_i(x_i)</math> is a field at position <math>x_i\in\mathbb{R}^d</math>. Correlation functions are defi ...17 KB (2,699 words) - 12:18, 4 February 2025