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Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a…

High Energy Physics - Theory · Physics 2009-11-07 S. M. Kuzenko , I. N. McArthur

Based on general considerations such as $R$-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular structure in ${\cal N}…

High Energy Physics - Theory · Physics 2009-11-10 Gorazd Cvetic , Igor Kondrashuk , Ivan Schmidt

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the…

High Energy Physics - Theory · Physics 2008-12-18 I. L. Buchbinder , N. G. Pletnev

Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten…

High Energy Physics - Theory · Physics 2021-07-28 Eric Lescano , Carmen A. Núñez , Jesús A. Rodríguez

We study the perturbation expansion of the free energy of N=4 supersymmetric SU(N) Yang-Mills at finite temperature in powers of 't Hooft's coupling g^2 N in the large N limit. Infrared divergences are controlled by constructing a hierarchy…

High Energy Physics - Theory · Physics 2007-05-23 Agustin Nieto , Michel H. G. Tytgat

We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special…

High Energy Physics - Theory · Physics 2008-12-11 Axel de Goursac

We provide a systematic way of dimensional reduction for $(4+2n)$-dimensional $U(N)$ supersymmetric Yang-Mills (SYM) theories ($n=0,1,2,3$) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which…

High Energy Physics - Theory · Physics 2015-12-09 Hiroyuki Abe , Tomoharu Horie , Keigo Sumita

The one-loop low-energy effective action for non-Abelian N=4 supersymmetric Yang-Mills theory is computed to order $F^6$ by use of heat kernel techniques in N=1 superspace. At the component level, the $F^5$ terms are found to be consistent…

High Energy Physics - Theory · Physics 2014-11-18 Darren T. Grasso

We study the structure of holomorphic effective action for hypermultiplet models interacting with background super Yang-Mills fields. A general form of holomorphic effective action is found for hypermultiplet belonging to arbitrary…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , I. B. Samsonov

We review various superspace approaches to the description of the low-energy effective action in N=4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , E. A. Ivanov , I. B. Samsonov

In this review paper, we outline and exemplify the general method of constructing the supefield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon…

High Energy Physics - Theory · Physics 2021-05-17 I. L. Buchbinder , E. A. Ivanov

Via supersymmetry argument, we determine the effective action of the SU(2) supersymmetric Yang-Mills quantum mechanics up to two constants, which results from the full supersymmetric completion of the F^4 term. The effective action,…

High Energy Physics - Theory · Physics 2009-10-31 Seungjoon Hyun , Youngjai Kiem , Hyeonjoon Shin

We formulate the ten-dimensional super-Yang-Mills theory in a twisted superspace with 8+1 supercharges. Its constraints do not imply the equations of motion and we solve them. As a preliminary step for a complete formulation in a twisted…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Guillaume Bossard , Alexis Martin

We derive the usual first-order form of the Yang-Mills action in arbitrary dimensions by dimensional reduction from a Chern-Simons-like action. The antisymmetric tensor auxiliary field of the first-order action appears as a gauge field for…

High Energy Physics - Theory · Physics 2011-06-28 Warren Siegel

We give a gauge-covariant formulation of seven-dimensional super-Yang-Mills theory in terms of N=1 superfields. Furthermore, we show that five and seven dimensions are the only cases where such a formulation exists by analysing the…

High Energy Physics - Theory · Physics 2011-02-03 Christoph Lüdeling

We formulate sigma-model duality transformations in terms of spin connection. This allows to investigate the symmetry of the string action including higher order $\alpha'$ corrections. An important feature of the new duality transformations…

High Energy Physics - Theory · Physics 2008-11-26 Eric Bergshoeff , Ingeborg Entrop , Renata Kallosh

We construct ${\cal N}=2$ supersymmetric low-energy effective action of $5D, {\cal N}=2$ supersymmetric Yang-Mills theory in $5D, {\cal N}=1$ harmonic superspace. It is obtained as a hypermultiplet completion of the leading $W \ln W$-term…

High Energy Physics - Theory · Physics 2019-02-20 I. L. Buchbinder , E. A. Ivanov , I. B. Samsonov

We consider the construction of the algebraic part of D-branes tree-level effective action from Berkovits open superstring field theory. Applying this construction to the quartic potential of massless fields carrying a specific worldsheet…

High Energy Physics - Theory · Physics 2018-04-18 Carlo Maccaferri , Alberto Merlano

We consider the algebraic couplings in the tree level effective action of the heterotic string. We show how these couplings can be computed from closed string field theory. When the light fields we are interested in are charged under an…

High Energy Physics - Theory · Physics 2020-03-18 Harold Erbin , Carlo Maccaferri , Jakub Vošmera

We discuss recent results on one-loop contributions to the effective action in {\cal N}=4 supersymmetric Yang-Mills theory in four dimensions. Contributions with five external vector fields are compared with corresponding ones in open…

High Energy Physics - Theory · Physics 2015-06-26 A. Refolli , A. Santambrogio , N. Terzi , D. Zanon