# Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments

## Abstract

We discuss the options for parity assignments in (on-shell) N=2 five-dimensional Yang-Mills-Einstein supergravity theories (YMESGTs) coupled to tensor and hypermultiplets on the orbifold spacetime M{sub 4}xS{sup 1}/Z{sub 2}. Along the lines of orbifold-grand unified theories (GUTs), we allow for general breaking of the five-dimensional gauge group at the orbifold fixed points. We then extend the discussion to the case where the orbifold is S{sup 1}/(Z{sub 2}xZ{sub 2}). We do not presume the existence of fields with support only at fixed points. As in the familiar case of (rigid) super-Yang-Mills theories on such orbifolds, only bulk hypermultiplets can lead to chiral multiplets in complex representations of the gauge group on the boundaries. Massless chiral multiplets coming from bulk vector or tensor multiplets can potentially be used as Higgs supermultiplets, though a 'doublet-triplet' splitting via parity assignments is not available for the tensor sector. We also find parity assignments for objects other than fields that appear in the Lagrangian, which will partially determine the structure of interactions of the boundary theories. Assigning odd parities to the scalar sector of vector/tensor multiplets requires the four-dimensional boundary moduli spaces to lie on the boundary of the classical Kaehler cone, which corresponds to collapsed Calabi-Yaumore »

- Authors:

- Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

- Publication Date:

- OSTI Identifier:
- 20782696

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.065025; (c) 2006 The American Physical Society; 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; CHIRALITY; COMPACTIFICATION; GRAND UNIFIED THEORY; HIGGS BOSONS; HIGGS MODEL; LAGRANGIAN FUNCTION; PARITY; SCALARS; SPACE; SPACE-TIME; SUPERGRAVITY; SUPERMULTIPLETS; TRIPLETS; VECTORS; YANG-MILLS THEORY

### Citation Formats

```
McReynolds, Sean.
```*Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.065025.

```
McReynolds, Sean.
```*Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments*. United States. doi:10.1103/PHYSREVD.73.065025.

```
McReynolds, Sean. Wed .
"Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments". United States.
doi:10.1103/PHYSREVD.73.065025.
```

```
@article{osti_20782696,
```

title = {Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments},

author = {McReynolds, Sean},

abstractNote = {We discuss the options for parity assignments in (on-shell) N=2 five-dimensional Yang-Mills-Einstein supergravity theories (YMESGTs) coupled to tensor and hypermultiplets on the orbifold spacetime M{sub 4}xS{sup 1}/Z{sub 2}. Along the lines of orbifold-grand unified theories (GUTs), we allow for general breaking of the five-dimensional gauge group at the orbifold fixed points. We then extend the discussion to the case where the orbifold is S{sup 1}/(Z{sub 2}xZ{sub 2}). We do not presume the existence of fields with support only at fixed points. As in the familiar case of (rigid) super-Yang-Mills theories on such orbifolds, only bulk hypermultiplets can lead to chiral multiplets in complex representations of the gauge group on the boundaries. Massless chiral multiplets coming from bulk vector or tensor multiplets can potentially be used as Higgs supermultiplets, though a 'doublet-triplet' splitting via parity assignments is not available for the tensor sector. We also find parity assignments for objects other than fields that appear in the Lagrangian, which will partially determine the structure of interactions of the boundary theories. Assigning odd parities to the scalar sector of vector/tensor multiplets requires the four-dimensional boundary moduli spaces to lie on the boundary of the classical Kaehler cone, which corresponds to collapsed Calabi-Yau 2-cycles at the orbifold fixed points in a compactification of 11-dimensional supergravity. There is an ambiguity in how to affect odd parity for the field-independent C{sub IJK} tensor of the 5D theory, which may admit a classical interpretation as Calabi-Yau 4-cycles collapsing to either 2- or 0-cycles.},

doi = {10.1103/PHYSREVD.73.065025},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}