WEBAug 26, 1999 · This dissertation reviews various aspects of the N=4 supersymmetric YangMills theory in particular in relation with the AdS/CFT correspondence. The first two chapters are introductory. The first one contains a description of the general properties of rigid supersymmetric theories in four dimensions both at the classical and at the .
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WhatsApp: +86 18203695377WEBOct 2, 2023 · The quantization of YangMills field theories requires the introduction of a gauge fixing which leads to a violation of the Local Gauss Law described by the socalled Gauss operator. We discuss the local quantizations of YangMills theories in terms of the possible Gauss operators, which are argued to have a more physical meaning than the .
WhatsApp: +86 18203695377WEBJun 18, 2008 · Magnetic degrees of freedom are manifested through violations of the Bianchi identities and associated with singular fields. Moreover, these singularities should not induce color nonconservation. We argue that the resolution of the constraint is that the singular fields, or defects are Abelian in nature. Recently proposed surface operators .
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WhatsApp: +86 18203695377WEBMay 19, 2004 · We consider the scalar operators corresponding to semiclassical string states in AdS_5xS^5 with the three angular momenta in S^5 nontrivial. The string states recieve quantum corrections and we study the corresponding process on the gauge theory side. The anomalous dimension of the scalar operators is computed using the Bethe .
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WhatsApp: +86 18203695377WEBFeb 12, 2020 · We explore the tanconcavity of the Lagrangian phase operator for the study of the deformed Hermitian YangMills (dHYM) metrics. This new property compensates for the lack of concavity of the Lagrangian phase operator as long as the metric is almost calibrated. As an appliion, we introduce the tangent Lagrangian .
WhatsApp: +86 18203695377WEBMay 19, 2016 · Boris O. Volkov. The relationship between the YangMills equations and the stochastic analogue of Levy differential operators is studied. The value of the stochastic Levy Laplacian is found by means of Cesaro averaging of directional derivatives on the stochastic parallel transport. It is shown that the YangMills equations and the Levy .
WhatsApp: +86 18203695377WEBApr 12, 2019 · Expansion of EinsteinYangMills theory by Differential Operators. The factorization form of the integrands in the CachazoHeYuan (CHY) formalism makes the generalized KawaiLewellenTye (KLT) relations manifest, thus amplitudes of one theory can be expanded in terms of the amplitudes of another theory. Although this claim .
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WhatsApp: +86 18203695377WEBDec 17, 2008 · View PDF Abstract: We develop a compact representation of the oneloop npoint functions of all chiral primary operators in planar SU(N), N=4 super YangMills theory in terms of treelevel disk correlation functions and the scalar oneloop box integral. As a check, known results for all fourpoint functions and for npoint extremal and near .
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WhatsApp: +86 18203695377WEBJun 11, 2021 · We show that the nonperturbative dynamics of N = 2 superYangMills theories in a selfdual Ω background and with arbitrary simple gauge group is fully determined by studying renormalization group equations of vacuum expectation values of surface operators generating oneform symmetries. The corresponding system of .
WhatsApp: +86 18203695377WEBSep 6, 2022 · Celestial Liouville Theory for YangMills Amplitudes. We consider YangMills theory with the coupling constant and theta angle determined by the vacuum expectation values of a dynamical (complex) dilaton field. We discuss the treelevel Ngluon MHV stering amplitudes in the presence of a nontrivial background dilaton field and .
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WhatsApp: +86 18203695377WEBJan 23, 2009 · Nadav Drukker, Jan Plefka. In this paper we study the npoint correlation functions of two different families of local gauge invariant operators in N=4 supersymmetric YangMills theory. The main idea is to consider the correlation functions of operators which all share a number of supersymmetries irrespective of their relative loions.
WhatsApp: +86 18203695377WEBAn improved method for directly calculating doublecopycompatible tree numerators in (super)YangMills and YangM Millsscalar theories gets rid of any explicit dependence on reference orderings, restoring a form of crossing symmetry to the numerators, improving the computational efficiency of the algorithm. Expand.
WhatsApp: +86 18203695377WEBJun 17, 2009 · We calculate the nonabelian Rcharges of BPS monopole operators in threedimensional gauge theories with N=3 supersymmetry. This class of models includes ABJM theory, the proposed gauge theory dual of Mtheory on AdS_4 x S^7/Z_k, as a special case. In the UV limit of the N=3 theories the YangMills coupling becomes weak .
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