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Mellin conformal thesis

Web20 okt. 2024 · We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup … Web6 aug. 2024 · Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions, analyticity, unitarity, Polyakov conditions and polynomial boundedness at infinity. Mellin amplitudes are particularly simple for large N CFTs and 2D rational CFTs. We discuss these examples …

Mellin Amplitudes: the Scattering Amplitudes of CFT

Web28 sep. 2024 · On the Polyakov-Mellin bootstrap. We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building blocks, Witten diagrams in AdS. We show the necessity for having contact Witten diagrams, in addition to the exchange … http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/451?show=full fardin eghtedari https://conservasdelsol.com

Perturbative Conformal Field Theory in the Mellin Space - IISER …

Web25 jul. 2016 · We study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, … Web5 mei 2024 · We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of CFT d four point functions and expands them in terms … WebUsing conformal block method we can determine OPE coe cients. Mellin space techniques are more useful than conformal block approach. CFT correlators have nice form in Mellin space. Poles and residues in Mellin amplitude give the information about dimension of factorizing channel and OPE coe - cients. corpus christi library log in

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Category:Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing …

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Mellin conformal thesis

Perturbative Conformal Field Theory in the Mellin Space - IISER …

WebDoctoral Thesis, Zurich, ETH Zurich, 2024. external page: ... Even for non- dual-conformal integrals this novel symmetry persists. ... Finally, we elaborate on the close relation to … Web23 jul. 2024 · We develop the technology for Polyakov-Mellin (PM) bootstrap in one- dimensional conformal field theories (CFT 1). By adding appropriate contact terms, we …

Mellin conformal thesis

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WebGiven 4.3, we can study the crossing kernels of the - and -channel CPWs (4.1) into the -channel by expanding their expressions 4.3 in terms of the kinematic polynomials 3.43 in the Mellin variable s – which corresponds to an -channel conformal block expansion in Mellin space – and using the orthogonal projections derived in §3. 4.1.1 Equal ... Web2 sep. 2016 · We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This combines the original bootstrap idea of Polyakov with the modern technology of the Mellin representation of CFT amplitudes.

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Web12 apr. 2024 · However, the delta function for the momentum conservation has support in the soft and colinear regions, and contributes to the Mellin and shadow integrals that … Web2 sep. 2016 · Conformal Bootstrap in Mellin Space. We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using …

WebWe study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, and includes mixed symmetry and (partially)-conserved representations.

WebNonperturbative Mellin Amplitudes. João Pedro. 2024. See Full PDF Download PDF. See Full PDF ... corpus christi lights festivalhttp://210.212.192.152:8080/jspui/bitstream/123456789/451/1/thesismain.pdf fard in crema bionikeWebcontains, in addition to the Euclidean symmetries, local conformal transformations, i.e. transformations that preserve angles but not lengths. The local conformal symmetry is of special importance in two dimensions since the corresponding symmetry algebra is infinite-dimensional in this case. As a consequence, two-dimensional conformal field corpus christi lively beachWebA bstractWe generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S … corpus christi literacy councilWeb5 mei 2015 · Thus the Mellin space furnishes a spectral representation of n-point functions in conformal field theories. In this project, we have been able to derive the Mellin … fardin enterprise of orlandoWebUsing conformal block method we can determine OPE coe cients. Mellin space techniques are more useful than conformal block approach. CFT correlators have nice form in … corpus christi lively beach resortWeb16 feb. 2024 · In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space amplitudes into CCFT correlators is by taking their Mellin transforms with respect to light-cone energies. For … corpus christi live stream