Group theory for unified model building

Slansky, R.

doi:10.1016/0370-1573(81)90092-2

Cited by 1,319 publications

(1,566 citation statements)

References 63 publications

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“…Furthermore, since σ takes representations to their complex conjugates, we can view it as a generalized charge conjugation operator of the type studied in [35], and therefore strings with σ holonomy should be thought of as Alice strings [32,33,34].…”

Section: -3 Strings Monodromy and The Color Gauge Groupmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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We study a system of N c D3-branes intersecting D7-branes and O7-planes in 1 + 1-dimensions. We use anomaly cancellation and string dualities to argue that there must be chiral fermion zero-modes on the D3-branes which are localized near the O7-planes. Away from the orientifold limit we verify this by using index theory as well as explicit construction of the zero-modes. This system is related to F-theory on K3 and heterotic matrix string theory, and the heterotic strings are related to Alice string defects in N = 4 Super-Yang-Mills. In the limit of large N c we find an AdS 3 dual of the heterotic matrix string CFT.

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Section: -3 Strings Monodromy and The Color Gauge Groupmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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“…As a consequence, its adjoint representation will be present in the antisymmetric part of the product 7 × 7. Indeed, we have [17]:…”

Section: The Algebra Gmentioning

confidence: 99%

W-algebras and superalgebras from constrained WZW models: A group theoretical classification

1993

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We present a classification of W algebras and superalgebras arising in Abelian as well as non Abelian Toda theories. Each model, obtained from a constrained WZW action, is related with an Sl(2) subalgebra (resp. OSp(1|2) superalgebra) of a simple Lie algebra (resp. superalgebra) G. However, the determination of an U(1) Y factor, commuting with Sl(2) (resp. OSp(1|2)), appears, when it exists, particularly useful to characterize the corresponding W algebra. The (super) conformal spin contents of each W (super)algebra is performed. The class of all the superconformal algebras (i.e. with conformal spins s ≤ 2) is easily obtained as a byproduct of our general results.

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“…To simplify the analysis m 2 χ and m 2 χ are taken to be equal in what follows. If the first non-vanishing terms in (12) …”

Section: Large Majorana Masses Of the Right-handed Neutrinosmentioning

confidence: 99%

“…A systematic study of quantum numbers of states in the fundamental and adjoint representations is conveniently performed using the Cartan-Weyl method [11,12]. In the framework of this method, each state is represented by its weight.…”

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confidence: 99%

Breaking ofB−Lin superstring inspiredE₆model

Kartavtsev¹

2005

J. Phys. G: Nucl. Part. Phys.

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Abstract. In the framework of the superstring inspired E 6 model, 'low-energy' extensions of the standard model compatible with leptogenesis are considered and masses of right-handed neutrinos in two scenarios allowed by long-lived protons are discussed. The presence of two additional generations allows breaking of B − L without generating nonzero vacuum expectation values of right-handed sneutrinos of the three known generations. After the symmetry breaking, right-handed neutrinos acquire Majorana masses M ν c ≃ 10 11 GeV. Within the framework of a simple discrete symmetry, assumptions made to provide a large mass of right-handed neutrinos are shown to be self-consistent. Supersymmetric structure of the theory ensures that large corrections, associated with the presence of a (super)heavy gauge field, cancel out.Breaking of B − L in superstring inspired E 6 model.

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Group theory for unified model building

Cited by 1,319 publications

References 63 publications

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

W-algebras and superalgebras from constrained WZW models: A group theoretical classification

Breaking ofB−Lin superstring inspiredE₆model

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Group theory for unified model building

Cited by 1,319 publications

References 63 publications

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

W-algebras and superalgebras from constrained WZW models: A group theoretical classification

Breaking ofB−Lin superstring inspiredE6model

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Product

Resources

About

Breaking ofB−Lin superstring inspiredE₆model