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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 superspace, we give a superspace path-integral formulation of the N=2, d=4 super-Yang-Mills theory without matter ...
Baulieu, L., Bossard, G., Martin, A.
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Superspaces and supersymmetries [PDF]
A theory of graded Banach modules over a Banach-Grassmann algebra is developed and applied to differential geometry of super-manifolds. The explicit structure of superspaces carrying Poincare supersymmetry and extended supersymmetry, including central charges, is described.
Jadczyk, A., Pilch, K.
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To superspace and beyond [PDF]
The significance of an algorithm developed by H. T. Stokes & B. J. Campbell [Acta Cryst. (2017), A73, 4-13] is discussed. The algorithm promises to be a key tool for understanding the structure-property relationships of the many technologically important materials that display incommensurate modulations in their atomic and/or magnetic structure ...
Mark S. Senn, Mark S. Senn
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v3: final version prior to publication, examples added, corrections, numbering adapted, 47 pages, Math. Z. (2014)
Alldridge, A. +2 more
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This letter provides a superfield based approach to constructing a collinear slice of $\mathcal{N}$ = 1 superspace. The strategy is analogous to integrating out anti-collinear fermionic degrees-of-freedom as was developed in the context of soft-collinear effective theory.
Cohen, Timothy +2 more
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A discussion of the AdS/CFT correspondence in IIB is given in a superspace context. The main emphasis is on the properties of SCFT correlators on the boundary which are studied using harmonic superspace techniques. These techniques provide the easiest way of implementing the superconformal Ward identities. The Ward identities, together with analyticity,
Howe, P S, West, P C
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Generalised supersymmetry and p-brane actions [PDF]
We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces.
Achucarro +22 more
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Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4) [PDF]
We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore.
Alekseevsky +21 more
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The symplectic origin of conformal and Minkowski superspaces [PDF]
Supermanifolds provide a very natural ground to understand and handle supersymmetry from a geometric point of view; supersymmetry in $d=3,4,6$ and $10$ dimensions is also deeply related to the normed division algebras. In this paper we want to show the
C̆ap A. +9 more
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Surface operators in superspace [PDF]
Abstract We generalize the geometrical formulation of Wilson loops recently introduced in [1] to the description of Wilson Surfaces. For N = (2, 0) theory in six dimensions, we provide an explicit derivation of BPS Wilson Surfaces with non-trivial coupling to scalars, together with their manifestly supersymmetric version. We derive
C. A. Cremonini, P. A. Grassi, S. Penati
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