Twisted supersymmetry and non-anticommutative superspace

Matthias Ihl; Christian Saemann

doi:10.1088/1126-6708/2006/01/065

Twisted supersymmetry and non-anticommutative superspace

Matthias Ihl, Christian Saemann

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.

Original language	English
Journal	Journal of High Energy Physics
Volume	2006
DOIs	https://doi.org/10.1088/1126-6708/2006/01/065
Publication status	Published - Jan 2006

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abstract = "We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.",

author = "Matthias Ihl and Christian Saemann",

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AU - Saemann, Christian

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N2 - We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.

AB - We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.

U2 - 10.1088/1126-6708/2006/01/065

DO - 10.1088/1126-6708/2006/01/065

M3 - Article

SN - 1126-6708

VL - 2006

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -

Twisted supersymmetry and non-anticommutative superspace

Abstract

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