Supergravity actions with integral forms

被引：35

作者：

Castellani, L. ^{[1
,2
]}

Catenacci, R. ^{[1
]}

Grassi, P. A. ^{[1
,2
]}

机构：

[1] Univ Piemonte Orientale, Dipartimento Sci & Innovaz Tecnol, I-15121 Alessandria, Italy

[2] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy

来源：

NUCLEAR PHYSICS B | 2014年 / 889卷

关键词：

GROUP MANIFOLD; SUPERSPACE;

D O I：

10.1016/j.nuclphysb.2014.10.023

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Integral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical approach to supergravity and its variational principle are reformulated and clarified in this language. Central in our analysis is the Poincare dual of a bosonic manifold embedded into a supermanifold. Finally, using integral forms we provide a proof of Gates' so-called "Ectoplasmic Integration Theorem", relating superfield actions to component actions. (C) 2014 Published by Elsevier B.V.

引用

页码：419 / 442

页数：24

共 24 条

[11]

FRIEDAN D, 1986, NUCL PHYS B, V271, P93

[12]

Gates Jr S.J., DUBNA 1997 SUPERSYMM, P46

[13] Ectoplasm and superspace integration measures for 2D supergravity with four spinorial supercurrents [J].

Gates, S. James, Jr. ;

Tartaglino-Mazzucchelli, Gabriele .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (09)

[14]

Gates SJ, 1998, PHYS LETT B, V421, P203, DOI 10.1016/S0370-2693(97)01557-8

[15] Ectoplasm has no topology [J].

Gates, SJ .

NUCLEAR PHYSICS B, 1999, 541 (03) :615-650

[16]

Grassi P.A., ARXIVHEPTH0412272

[17]

Grassi P.A., ARXIV07122600V2HEPTH

[18]

Griffiths P., 1994, Wiley Classics Library, DOI [10.1002/9781118032527, DOI 10.1002/9781118032527]

[19] AN ALTERNATIVE MINIMAL OFF-SHELL VERSION OF N=1 SUPERGRAVITY [J].

SOHNIUS, MF ;

WEST, PC .

PHYSICS LETTERS B, 1981, 105 (05) :353-357

[20]

Voronov F. F., 1988, SOVIET MATH DOKL, V37, P96

← 1 2 3 →