Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ). Duality and Poincaré Lemma

By X. Bekaert, Nicolas Boulanger. 2002

229 citations recorded by the source corpus.

Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we have studied the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D, ℝ). We have proven a generalization of the Poincaré lemma which enables us to solve the above-mentioned problems in a systematic and unified way.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f4ab1461ff422a9051a783d026cc3ce77fb12431

How researchers see this paper

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In Mathematical Physics

1. P. Sundell
2. Nicolas Boulanger

In Nuclear and High Energy Physics

1. Nicolas Boulanger
2. P. Sundell
3. C. Iazeolla
4. E. D. Skvortsov
5. S. Giombi
6. Xi Yin
7. X. Bekaert
8. M. Taronna

Citations in the corpus

• Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism (2008, background): “In the case of Λ = 0 = M2 it was shown in [42] that the primary Bianchi identity for a generalized Riemann tensor sitting in an sl(D)-type Θ and obeying ∇ [1] K (Θ) ≡ 0 , (4.”