All possible generators of supersymmetries of the S-matrix

Haag, Rudolf; Łopuszański, J.; Sohnius, Martin F.

doi:10.1016/0550-3213(75)90279-5

Cited by 928 publications

(754 citation statements)

References 13 publications

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“…, dim L(H). Using the complex structure I A B to decompose L(K)⊗C into holomorphic L(K) (1,0) and anti-holomorphic L(K) (0,1) subspaces, we can rewrite the equation (4.8) as follows:…”

Section: Models On Group Manifoldsmentioning

confidence: 99%

“…where (x = , x = , θ + , θ − ) are the co-ordinates of (1,1) superspace, Ξ (1,1) , (x = , x = ) = (x + t, t − x)) are light-cone co-ordinates, the indices i, j = 1, . .…”

Section: The (22) Modelmentioning

confidence: 99%

“…The fields of (1,0) supersymmetric sigma model are the following: the scalar superfield φ(x, θ + ) which is a map from the (1,0) superspace, Ξ (1,0) , into the target manifold M, and the spinor superfield ψ a − (x, θ + ) which is a section of the vector bundle ξ − ⊗ φ * E where ξ − is the spin bundle over Ξ (1,0) . The part of (3.1) that contains the ψ field is called either the fermionic or Yang-Mills sector of the sigma model action.…”

Section: The (22) Modelmentioning

confidence: 99%

“…In the following, we will discuss only massless models unless it is otherwise stated. The supersymmetry algebra (1.1), up to an isomorphism, is the one expected for a supersymmetric theory from the Haag-Lopuszanski-Sohnius theorem [1].…”

Section: Introductionmentioning

confidence: 99%

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(2,0)-supersymmetric sigma models and almost complex structures

Papadopoulos

1995

Nuclear Physics B

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We find a new class of (2,0)-supersymmetric two-dimensional sigma models with torsion and target spaces almost complex manifolds extending similar results for models with (2,2) supersymmetry. These models are invariant under a new symmetry which is generated by a Noether charge of Lorentz weight one and it is associated to the Nijenhuis tensor of the almost complex structure of the sigma model target manifold. We compute the Poisson bracket algebra of charges of the above (2,0)-and (2,2)-supersymmetric sigma models and show that it closes but it is not isomorphic to the standard (2,0) and (2,2) supersymmetry algebra, respectively. Examples of such (2,0)-and (2,2)-supersymmetric sigma models with target spaces group manifolds are also given. In addition, we study the quantisation of the (2,0)-supersymmetric sigma models, compute the anomalies of their classical symmetries and examine their cancellation. Furthermore, we examine the massive extension of (2,0)-supersymmetric sigma models with target spaces almost complex manifolds, and study the topological twist of the new supersymmetry algebras.

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“…, dim L(H). Using the complex structure I A B to decompose L(K)⊗C into holomorphic L(K) (1,0) and anti-holomorphic L(K) (0,1) subspaces, we can rewrite the equation (4.8) as follows:…”

Section: Models On Group Manifoldsmentioning

confidence: 99%

“…where (x = , x = , θ + , θ − ) are the co-ordinates of (1,1) superspace, Ξ (1,1) , (x = , x = ) = (x + t, t − x)) are light-cone co-ordinates, the indices i, j = 1, . .…”

Section: The (22) Modelmentioning

confidence: 99%

Section: The (22) Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

(2,0)-supersymmetric sigma models and almost complex structures

Papadopoulos

1995

Nuclear Physics B

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“…It turns out that the combination of supersymmetry and Lorentz invariance has very strong implications [46]. In theories with both symmetries, there must be a conserved spin- 1 2 charge Q whose square is the Hamiltonian.…”

Section: Supersymmetrymentioning

confidence: 99%

On the Trail of the Higgs Boson

Peskin

2015

Annalen der Physik

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Black Hole Entropy, Special Geometry and Strings

Mohaupt

2001

Fortschritte der Physik

183

251

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We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional N = 2 supergravity and in N = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in N = 2, 4 compactifications in presence of higher curvature terms.In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal offshell description of N = 2 supergravity, special geometry, and N = 2 compactifications of heterotic and type II string theory and of M-theory.

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All possible generators of supersymmetries of the S-matrix

Cited by 928 publications

References 13 publications

(2,0)-supersymmetric sigma models and almost complex structures

(2,0)-supersymmetric sigma models and almost complex structures

On the Trail of the Higgs Boson

Black Hole Entropy, Special Geometry and Strings

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