Super-gauge transformations

After an introduction recalling the theoretical motivation for low energy (100 GeV to TeV scale) supersymmetry, this review describes the theory and experimental implications of the soft supersymmetry-breaking Lagrangian of the general minimal supersymmetric standard model (MSSM). Extensions to include neutrino masses and nonminimal theories are also discussed. Topics covered include models of supersymmetry breaking, phenomenological constraints from electroweak symmetry breaking, flavor/CP violation, collider searches, and cosmological constraints including dark matter and implications for baryogenesis and inflation.

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“…Using the general results of Appendix C.1, the squark mass terms in this limit are given by 49) in which…”

Section: C3 Mssm Feynman Rulesmentioning

confidence: 99%

“…In the construction of supersymmetric theories, it is often more convenient to work with entities known as superfields [49]. For our purposes the terms superfield and supermultiplet can be used interchangeably.…”

Section: Brief Introduction To N = 1 D = 4 Supersymmetrymentioning

confidence: 99%

The soft supersymmetry-breaking Lagrangian: theory and applications

Chung

Everett

Kane³

et al. 2005

Physics Reports

415

339

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“…The commutation relations (22) are valid independent of the dimension of the spacetime formed by the coset superspace into which the p-brane is embedded. However, this is not true for the commutator [δ κ 1 , δ κ 2 ] of a pair of κ-symmetry transformations.…”

Section: The Algebra Of κ-Transformations and Diffeomorphismsmentioning

confidence: 99%

“…However, the fact that flat superspaces can be considered as cosets of the super-Poincaré group with the Lorentz subgroup as the stability group [22] allows a geometric formulation of the Green-Schwarz action in terms of a nonlinear sigma model on the coset space [6,5,23]. Recently, this construction has been extended to the case of superspaces whose bosonic parts correspond to the near horizon geometries of various p-brane solitons, which are of the form…”

Section: Coset Superspacesmentioning

confidence: 99%

“…In terms of the construction of flat superspace as the left coset G/H of the super-Poincaré group G with the Lorentz subgroup as the isotropy group H [13], and in which supersymmetry transformations of the superspace coordinates are achieved by the canonically defined left action of the superalgebra on the coset superspace, this is an indication that κ-symmetry transformations should be related to the right action of the superalgebra on the same coset. In the Hamiltonian formulation for p-branes embedded in flat superspace, de Azcárraga, Izquierdo and Townsend [14] showed that the fermionic constraints (some of which are first class, corresponding to the existence of local κ-symmetry) are analogous to supercovariant derivatives in superspace, which generate right supertranslations.…”

Section: Introductionmentioning

confidence: 99%

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Kappa-symmetry of Green–Schwarz actions in coset superspaces

McArthur

2000

Nuclear Physics B

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The nature of κ-symmmetry transformations is examined for p-branes embedded in a class of coset superspaces G/H, where G is an appropriate supergroup and H is the Lorentz subgroup. It is shown that one of the conditions δZ M E M a = 0 which characterizes κ-symmetry transformations arises very naturally if they are implemented in terms of a right action of a subgroup of the supergroup G on the supergroup elements which represent the coset. Unlike the global left action of G on G/H (which gives rise to supersymmetry on the coset superspace), there is no canonically defined right action of G on G/H. However, an interpretation of this right action involving an enlargement of the isotropy group from the Lorentz subgroup to a subgroup of G with generators which include some of the fermionic generators of G is suggested. Closure of the generators of this larger subgroup under commutation leads to the usual "brane scan" for p-branes which have bosonic degrees of freedom which are worldvolume scalars.

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Superfields as Representations

Rühl

Yunn

1975

Fortschr. Phys.

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We study irreducible and reducible representations of the generalized Lie algebra of Wess and Zumino. The algebra is integrated to a group with the help of Grassmann algebras and the representations of the algebra are made into representations of the group. We construct invariant sesquilinear forms that are positive definite for the Wess‐Zumino algebra over the complex field. We define irreducible superfields for any spin J as specific realizations of such representations. All superfields appearing in the literature are either equivalent to one of these or built up out of these superfields.

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Super-gauge transformations

Cited by 607 publications

References 6 publications

The soft supersymmetry-breaking Lagrangian: theory and applications

The soft supersymmetry-breaking Lagrangian: theory and applications

Kappa-symmetry of Green–Schwarz actions in coset superspaces

Superfields as Representations

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