Topological Yang-Mills symmetry

Baulieu, Laurent; Singer, I. M.

doi:10.1016/0920-5632(88)90366-0

Cited by 213 publications

(368 citation statements)

References 2 publications

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“…As we have seen in Section 3, the fields of the topological gravity multiplet have a nice geometrical interpretation in terms of linear deformations around the gravitational instanton 4 , which seems quite analogous to that of the fields of the topological Yang-Mills theory in four dimensions for the gauge instantons [11,16]. The manifolds involved in our analysis admit self-dual abelian connections, which can be naturally included in our topological model.…”

Section: Remarks and Conclusionmentioning

confidence: 86%

Topological Gravity versus Supergravity on Manifolds with Special Holonomy

Baulieu¹,

Tanzini²

2002

J. High Energy Phys.

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We construct a topological theory for euclidean gravity in four dimensions, by enforcing self-duality conditions on the spin connection. The corresponding topological symmetry is associated to the SU(2)×diffeomor-phism×U(1) invariance. The action of this theory is that of d = 4, N = 2 supergravity, up to a twist. The topological field theory is SU(2) ⊂ SO(4) invariant, but the full SO(4) invariance is recovered after untwist. This suggest that the topological gravity is relevant for manifolds with special holonomy. The situation is comparable to that of the topological Yang-Mills theory in eight dimensions, for which the SO(8) invariance is broken down to Spin(7), but is recovered after untwisting the topological theory.

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Section: Remarks and Conclusionmentioning

confidence: 86%

Topological Gravity versus Supergravity on Manifolds with Special Holonomy

Baulieu¹,

Tanzini²

2002

J. High Energy Phys.

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“…It was pointed out that quantized version of four-dimensional topological Yang-Mills action with instanton gauge fixing led to N = 2 twisted super Yang-Mills action [1][2][3][4][5]. The twisting procedure generates matter fermions from the ghost-related fermions by relating the spin of matter fermion and internal R symmetry of N = 2 SUSY algebra.…”

Section: Introductionmentioning

confidence: 99%

N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

2005

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We propose N = 4 twisted superspace formalism in four dimensions by introducing Dirac-Kähler twist. In addition to the BRST charge as a scalar counter part of twisted supercharge we find vector and tensor twisted supercharges. By introducing twisted chiral superfield we explicitly construct off-shell twisted N = 4 SUSY invariant action. We can propose variety of supergauge invariant actions by introducing twisted vector superfield. We may, however, need to find further constraints to identify twisted N = 4 super Yang-Mills action. We propose a superconnection formalism of twisted superspace where constraints play a crucial role. It turns out that N = 4 superalgebra of Dirac-Kähler twist can be decomposed into N = 2 sectors. We can then construct twisted N = 2 super Yang-Mills actions by the superconnection formalism of twisted superspace in two and four dimensions.

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“…It should be noted that these parameters are only defined modulo derivative terms. In fixing the topological gauge of (1) we follow the lead of Balieau and Singer [22]. In particular we will assume as a "topological" gauge conditions that F 5 is the dual with respect to 13 dimensions of F 4 ∧ F 4 :…”

Section: Ordinary Matter As Topological Ghosts ?mentioning

confidence: 99%

“…In addition we will introduce the same set of ghost fields for the self-dual F 4 's as introduced in ref. 22 to gauge fix 4-dimensional topological Yang-Mills theory. F or the gauge fixed lagrangian we propose (8) denote additional terms involving the ghost of ghost fields indicated in eq.…”

Section: Ordinary Matter As Topological Ghosts ?mentioning

confidence: 99%

A Unique Theory of Gravity and Matter

Chapline

1999

Chaos, Solitons & Fractals

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The author has previously suggested that the ground state for 4-dimensional quantum gravity can be represented as a condensation of nonlinear gravitons connected by Dirac strings. In this note we suggest that the low-lying excitations of this state can be described by a quasitopological action of the form d z 13 ∫ F 4 ∧ F 5 ∧ F 4 , corresponding to a trilinear coupling of solotonic 8-branes and 7-branes. It is shown that when the excitations associated with F 5 are neglected, the effective action can be interpreted as a theory of conformal gravity in four dimensions. This in turn suggests that ordinary gravity as well supersymmetric matter and phenomenological gauge symmetries arise from the spontaneous breaking of topological invariance. The possibly deep mathematical significance of this theory is also noted.

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Topological Yang-Mills symmetry

Cited by 213 publications

References 2 publications

Topological Gravity versus Supergravity on Manifolds with Special Holonomy

Topological Gravity versus Supergravity on Manifolds with Special Holonomy

N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

A Unique Theory of Gravity and Matter

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