New N=4 Superfields and Sigma-models

I.T. Ivanov; M. Rocek; U. Lindstrom

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New N=4 Superfields and Sigma-models

I.T. Ivanov, U. Lindstrom, M. Rocek

High Energy Physics - Theory · Submitted 19 Jan 1994

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets.

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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.53 · mentions code or data availability 0.02.

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In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets. These multiplets may make it possible to circumvent no-go theorems about N=4 superspace formulations of WZWN-models.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets.	contribution 1.00	0.96	0.47	asserted 1.00
s1	These multiplets may make it possible to circumvent no-go theorems about N=4 superspace formulations of WZWN-models.	interpretation 1.00	0.17	0.28	hedged possibility 1.00

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The paper

Original abstract

In this note, we construct new representations of D=2, N=4 supersymmetry which do not involve chiral or twisted chiral multiplets. These multiplets may make it possible to circumvent no-go theorems about N=4 superspace formulations of WZWN-models.

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14 arXiv papers cite this in 23 sentences

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Papers citing it · 11 sentences without a confident label

Builds on it 2 papers

Generalizing the flat case of [ref] , 2D curved PS depends on extra $ℂP^1×ℂP^1$ coordinates; for this reason we call the superspace and supermultiplets bi-projective.[For 2D $=(4,4)$ supersymmetry HS has been introduced in [ref] .

2D N=(4,4) superspace supergravity and bi-projective superfields · Introduction · 0.97
These supermultiplets are a curved-superspace extension of the 2D multiplets introduced in the flat case in [ref] .

On 2D N=(4,4) superspace supergravity · Curved bi-projective superspace · 0.94

Compares with it 2 papers

This coincides with the action principle given in [ref] .

2D N=(4,4) superspace supergravity and bi-projective superfields · Action principle · 0.98
This also ties in with the question of how the conditions for invariance that we have described relate to those found in [ref] , where $(4,4)$ models with auxiliary fields are discussed.

Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures · Discussion · 0.85

Cites it as background 6 papers

Projective superspace has been introduced also for two-dimensional $=(4,4)$ supersymmetry [ref] .

2D N=(4,4) superspace supergravity and bi-projective superfields · Introduction · 0.93
Starting instead from a $(2,2)$ superspace formulation, the procedure typically first involves a reduction to $(1,1)$ to bring out the sigma model feature, a procedure that in some cases also involves eliminating auxiliary fields [ref] , [ref] .

Yano F structures and extended Supersymmetry · Introduction · 0.82
Previously the question of $(4,4)$ supersymmetry has been partly addressed, in doubly projective superspace, for $(4,4)$ multiplets containing $(2,2)$ semichiral and $(2,2)$ auxiliary fields in [ref] .

Sigma models with non-commuting complex structures and extended supersymmetry · The complement of ker$[J_(+),J_(-)]$. A first look. · 0.81

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