# Non-standard symmetries and quantum anomalies

## Abstract

Quantum anomalies are investigated on curved spacetimes. The intimate relation between Killing-Yano tensors and non-standard symmetries is pointed out. The gravitational anomalies are absent if the hidden symmetry is associated to a Killing-Yano tensor. The axial anomaly in a background gravitational field is directly related with the index of the Dirac operator. In the Dirac theory on curved spaces, Killing-Yano tensors generate Dirac-type operators involved in interesting algebraic structures. The general results are applied to the 4-dimensional Euclidean Taub-NUT space.

- Authors:

- Depart. Theoretical Physics National Institute for Physics and Nuclear Engineering P.O. Box MG-6, Magurele, Bucharest (Romania)

- Publication Date:

- OSTI Identifier:
- 21149172

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1030; Journal Issue: 1; Conference: SCADRON70: Workshop on scalar mesons and related topics honoring Michael Scadron's 70. birthday, Lisbon (Portugal), 11-16 Feb 2008; Other Information: DOI: 10.1063/1.2973504; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; DIRAC EQUATION; DIRAC OPERATORS; EUCLIDEAN SPACE; FIELD ALGEBRA; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATIONAL FIELDS; QUANTUM CHROMODYNAMICS; SPACE-TIME; SYMMETRY BREAKING; TENSORS

### Citation Formats

```
Visinescu, Anca, and Visinescu, Mihai.
```*Non-standard symmetries and quantum anomalies*. United States: N. p., 2008.
Web. doi:10.1063/1.2973504.

```
Visinescu, Anca, & Visinescu, Mihai.
```*Non-standard symmetries and quantum anomalies*. United States. doi:10.1063/1.2973504.

```
Visinescu, Anca, and Visinescu, Mihai. Sun .
"Non-standard symmetries and quantum anomalies". United States.
doi:10.1063/1.2973504.
```

```
@article{osti_21149172,
```

title = {Non-standard symmetries and quantum anomalies},

author = {Visinescu, Anca and Visinescu, Mihai},

abstractNote = {Quantum anomalies are investigated on curved spacetimes. The intimate relation between Killing-Yano tensors and non-standard symmetries is pointed out. The gravitational anomalies are absent if the hidden symmetry is associated to a Killing-Yano tensor. The axial anomaly in a background gravitational field is directly related with the index of the Dirac operator. In the Dirac theory on curved spaces, Killing-Yano tensors generate Dirac-type operators involved in interesting algebraic structures. The general results are applied to the 4-dimensional Euclidean Taub-NUT space.},

doi = {10.1063/1.2973504},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1030,

place = {United States},

year = {Sun Aug 31 00:00:00 EDT 2008},

month = {Sun Aug 31 00:00:00 EDT 2008}

}

DOI: 10.1063/1.2973504

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