Comments on double field theory and diffeomorphisms
A bstract As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a ‘gauge orbit’ in the coordinate space. The diffeomorphism symmetry then...
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| Published in | The journal of high energy physics Vol. 2013; no. 6; pp. 1 - 28 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer-Verlag
01.06.2013
Springer Nature B.V |
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| Online Access | Get full text |
| ISSN | 1029-8479 1029-8479 |
| DOI | 10.1007/JHEP06(2013)098 |
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| Abstract | A
bstract
As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a ‘gauge orbit’ in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually
(i)
consistent with the standard exponential map, and further
(ii)
compatible with the full covariance of the ‘semi-covariant’ derivatives and curvatures after projectors are properly imposed. |
|---|---|
| AbstractList | A
bstract
As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a ‘gauge orbit’ in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually
(i)
consistent with the standard exponential map, and further
(ii)
compatible with the full covariance of the ‘semi-covariant’ derivatives and curvatures after projectors are properly imposed. As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a 'gauge orbit' in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually (i) consistent with the standard exponential map, and further (ii) compatible with the full covariance of the 'semi-covariant' derivatives and curvatures after projectors are properly imposed. |
| ArticleNumber | 98 |
| Author | Park, Jeong-Hyuck |
| Author_xml | – sequence: 1 givenname: Jeong-Hyuck surname: Park fullname: Park, Jeong-Hyuck email: park@sogang.ac.kr organization: Department of Applied Mathematics and Theoretical Physics, Department of Physics, Sogang University |
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bstract
As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue... As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a... |
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| SubjectTerms | Classical and Quantum Gravitation Derivatives Elementary Particles Field theory Gages Gauges High energy physics Mathematical analysis Orbits Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory Transformations (mathematics) |
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| Title | Comments on double field theory and diffeomorphisms |
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