Details
| Original language | English |
|---|---|
| Pages (from-to) | 133-143 |
| Number of pages | 11 |
| Journal | Journal of high energy physics |
| Volume | 8 |
| Issue number | 9 |
| Publication status | Published - 29 Sept 2004 |
Abstract
It was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same supermanifold. Moreover, for the supertwistor space ℂP3|4 as target space, it has been demonstrated that hCS theory on ℂP3|4 is equivalent to self-dual N = 4 super Yang-Mills (SYM) theory in four dimensions. We consider as target spaces for the B-model the weighted projective spaces WℂP 3|2(1, 1, 1, 1|p, q) with two fermionic coordinates of weight p and q, respectively -which are CY supermanifolds for p + q = 4 - and discuss hCS theory on them. By using twistor techniques, we obtain certain field theories in four dimensions which are equivalent to hCS theory. These theories turn out to be self-dual truncations of N = 4 SYM theory or of its twisted (topological) version.
Keywords
- Chern-Simons Theories, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 8, No. 9, 29.09.2004, p. 133-143.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Topological B-model on weighted projective spaces and self-dual models in four dimensions
AU - Popov, Alexander D.
AU - Wolf, Martin
PY - 2004/9/29
Y1 - 2004/9/29
N2 - It was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same supermanifold. Moreover, for the supertwistor space ℂP3|4 as target space, it has been demonstrated that hCS theory on ℂP3|4 is equivalent to self-dual N = 4 super Yang-Mills (SYM) theory in four dimensions. We consider as target spaces for the B-model the weighted projective spaces WℂP 3|2(1, 1, 1, 1|p, q) with two fermionic coordinates of weight p and q, respectively -which are CY supermanifolds for p + q = 4 - and discuss hCS theory on them. By using twistor techniques, we obtain certain field theories in four dimensions which are equivalent to hCS theory. These theories turn out to be self-dual truncations of N = 4 SYM theory or of its twisted (topological) version.
AB - It was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same supermanifold. Moreover, for the supertwistor space ℂP3|4 as target space, it has been demonstrated that hCS theory on ℂP3|4 is equivalent to self-dual N = 4 super Yang-Mills (SYM) theory in four dimensions. We consider as target spaces for the B-model the weighted projective spaces WℂP 3|2(1, 1, 1, 1|p, q) with two fermionic coordinates of weight p and q, respectively -which are CY supermanifolds for p + q = 4 - and discuss hCS theory on them. By using twistor techniques, we obtain certain field theories in four dimensions which are equivalent to hCS theory. These theories turn out to be self-dual truncations of N = 4 SYM theory or of its twisted (topological) version.
KW - Chern-Simons Theories
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=23044471047&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2004/09/007
DO - 10.1088/1126-6708/2004/09/007
M3 - Article
AN - SCOPUS:23044471047
VL - 8
SP - 133
EP - 143
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 9
ER -