Some aspects of Dirac-harmonic maps with curvature term
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Cites background or result from "Some aspects of Dirac-harmonic maps..."
...[2] V. Branding, Some aspects of Dirac-harmonic maps with curvature term, Differential Geometry and its Applications, 40 (2015), 1–13....
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...9) are different from those in [2]) , we nevertheless need to go through all the details here....
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...1) in [2] for a similar tensor where, however, the real part of the third term 〈ψ, eα · ∇̃eβψ〉 is not taken....
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...The proof we give here is different from that in [2]....
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...[3] V. Branding, Energy estimates for the supersymmetric nonlinear sigma model and applications, Potential Anal....
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Cites background from "Some aspects of Dirac-harmonic maps..."
...Its full action contains additional terms: Considering also a curvature term that is quartic in the spinors one is led to Dirac-harmonic maps with curvature term, see [3, 11] and also [7]....
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References
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"Some aspects of Dirac-harmonic maps..." refers background in this paper
...Moreover, it should be noted that this equation also appears in the context of the spinorial representation of surfaces in R3 [16] and the Thirring model in quantum field theory [21]....
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673 citations
"Some aspects of Dirac-harmonic maps..." refers methods in this paper
...In addition, we want to apply Adam’s inequality on Morrey spaces (see [1], Theorem 3....
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...In particular, if f = 0, then φ ∈ W 2,p loc for all p ∈ [1, 2) and φ ∈ W 1,q loc for all q ∈ [1,∞)....
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379 citations
"Some aspects of Dirac-harmonic maps..." refers background in this paper
...Using an estimate for harmonic functions (see [17], Lemma 3....
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323 citations
"Some aspects of Dirac-harmonic maps..." refers methods in this paper
...Using the symmetries of the target Sn it is possible to write the equation for φ in such a form that one may apply the classical Wente Lemma [24] yielding the continuity of the map φ similar to [11], Prop....
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...Using the symmetries of the target S it is possible to write the equation for φ in such a form that one may apply the classical Wente Lemma [24] yielding the continuity of the map φ similar to [11], Prop....
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150 citations
"Some aspects of Dirac-harmonic maps..." refers background in this paper
...However, the full nonlinear supersymmetric σ-model in physics contains additional terms, which are not captured by the analysis of Dirac-harmonic maps, see [15], [8] for the physical background....
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