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We introduce superspace generalizations of the transverse derivatives to rewrite the four-dimensional N=4 Yang-Mills theory into the fully ten-dimensional N=1 Yang-Mills in light-cone form. The explicit SuperPoincare algebra is constructed…

High Energy Physics - Theory · Physics 2007-07-09 Sudarshan Ananth , Lars Brink , Pierre Ramond

Action of 4 dimensional N=4 supersymmetric Yang-Mills theory is written by employing the superfields in N=4 superspace which were used to prove the equivalence of its constraint equations and equations of motion. Integral forms of the…

High Energy Physics - Theory · Physics 2007-05-23 O. F. Dayi , K. Ulker

We construct the order alpha'^3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore…

High Energy Physics - Theory · Physics 2009-11-07 A. Collinucci , M. de Roo , M. G. C. Eenink

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 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 present a four-dimensional (4D) ${\cal N}=1$ superfield description of supersymmetric Yang-Mills (SYM) theory in ten-dimensional (10D) spacetime with certain magnetic fluxes in compactified extra dimensions preserving partial ${\cal…

High Energy Physics - Theory · Physics 2015-06-04 Hiroyuki Abe , Tatsuo Kobayashi , Hiroshi Ohki , Keigo Sumita

We explicitly compute the effective action from Open Superstring Field Theory in the hybrid formalism to quartic order in the $\alpha'\rightarrow 0$ limit, and show that it reproduces ten-dimensional Super Yang-Mills in terms of…

High Energy Physics - Theory · Physics 2024-11-08 Ulisses M Portugal

After adding seven auxiliary scalar fields, the action for ten-dimensional super-Yang-Mills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on…

High Energy Physics - Theory · Physics 2010-02-03 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We show that $N=2$ and $N=4$ extended supersymmetric Yang-Mills theories in four space-time dimensions could be derived as action functionals for non-commutative spaces. The coupling of $N=1$ and $N=2$ super Yang-Mills to $N=1$ and $N=2$…

High Energy Physics - Theory · Physics 2009-10-28 A. H. Chamseddine

We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4;d=4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Mahendra Mali

Supersymmetric field theories on noncommutative spaces are constructed. We present two different representations of noncommutative space, but we can obtain supersymmetry algebla and supersymmetric Yang-Mills action independent of its…

High Energy Physics - Theory · Physics 2009-11-07 Yoshinobu Habara

Four dimensional N=1 supersymmetric Yang-Mills theory action is written in terms of the spinor superfields in transverse gauge. This action is seemingly first order in space-time derivatives. Thus, it suggests that the generalized fields…

High Energy Physics - Theory · Physics 2010-11-05 Omer F. Dayi

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

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in…

High Energy Physics - Theory · Physics 2015-09-22 Carlos R. Mafra , Oliver Schlotterer

In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so,…

High Energy Physics - Theory · Physics 2009-11-07 I. Martin , A. Restuccia

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

We present a model for supersymmetric Yang-Mills theory in 10+2 dimensions. Our construction uses a constant null vector, and leads to a consistent set of field equations and constraints. The model is invariant under generalized…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino , Ergin Sezgin

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

Higher derivative terms in the effective action of certain Yang-Mills theories can be severely constrained by supersymmetry. We show that requiring sixteen supersymmetries in quantum mechanical gauge theory determines the $v^6$ term in the…

High Energy Physics - Theory · Physics 2010-02-03 Sonia Paban , Savdeep Sethi , Mark Stern
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