### Abstract

We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of \adss superstring in terms of supercoset currents. The resulting set of classically equivalent, integrable Lagrangian equations of motion has the advantage of involving only a physical number of degrees of freedom and yet being 2d Lorentz invariant. The corresponding reduced theory action may be written as a gauged WZW model coupled to fermions with further bosonic and fermionic potential terms. Since the \adss superstring sigma model is conformally invariant, its classical relation to the reduced theory may extend to the quantum level only if the latter is, in fact, UV finite. This theory is power counting renormalizable with the only possible divergences being of potential type. We explicitly verify its 1-loop finiteness and show that the 2-loop divergences are, in general, scheme dependent and vanish in dimensional reduction scheme. We expect that the reduced theory is finite to all orders in the loop expansion.

Original language | English (US) |
---|---|

Article number | 078 |

Journal | Journal of High Energy Physics |

Volume | 2009 |

Issue number | 4 |

DOIs | |

State | Published - Jul 6 2009 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{5}×S

_{5}S

^{5}superstring theory.

*Journal of High Energy Physics*,

*2009*(4), [078]. https://doi.org/10.1088/1126-6708/2009/04/078

}

_{5}×S

_{5}S

^{5}superstring theory',

*Journal of High Energy Physics*, vol. 2009, no. 4, 078. https://doi.org/10.1088/1126-6708/2009/04/078

**UV finiteness of Pohlmeyer-reduced form of the AdS _{5}×S _{5}S ^{5} superstring theory.** / Roiban, R.; Tseytlin, A. A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - UV finiteness of Pohlmeyer-reduced form of the AdS 5×S 5S 5 superstring theory

AU - Roiban, R.

AU - Tseytlin, A. A.

PY - 2009/7/6

Y1 - 2009/7/6

N2 - We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of \adss superstring in terms of supercoset currents. The resulting set of classically equivalent, integrable Lagrangian equations of motion has the advantage of involving only a physical number of degrees of freedom and yet being 2d Lorentz invariant. The corresponding reduced theory action may be written as a gauged WZW model coupled to fermions with further bosonic and fermionic potential terms. Since the \adss superstring sigma model is conformally invariant, its classical relation to the reduced theory may extend to the quantum level only if the latter is, in fact, UV finite. This theory is power counting renormalizable with the only possible divergences being of potential type. We explicitly verify its 1-loop finiteness and show that the 2-loop divergences are, in general, scheme dependent and vanish in dimensional reduction scheme. We expect that the reduced theory is finite to all orders in the loop expansion.

AB - We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of \adss superstring in terms of supercoset currents. The resulting set of classically equivalent, integrable Lagrangian equations of motion has the advantage of involving only a physical number of degrees of freedom and yet being 2d Lorentz invariant. The corresponding reduced theory action may be written as a gauged WZW model coupled to fermions with further bosonic and fermionic potential terms. Since the \adss superstring sigma model is conformally invariant, its classical relation to the reduced theory may extend to the quantum level only if the latter is, in fact, UV finite. This theory is power counting renormalizable with the only possible divergences being of potential type. We explicitly verify its 1-loop finiteness and show that the 2-loop divergences are, in general, scheme dependent and vanish in dimensional reduction scheme. We expect that the reduced theory is finite to all orders in the loop expansion.

UR - http://www.scopus.com/inward/record.url?scp=84855327117&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855327117&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2009/04/078

DO - 10.1088/1126-6708/2009/04/078

M3 - Article

AN - SCOPUS:84855327117

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 078

ER -

_{5}×S

_{5}S

^{5}superstring theory. Journal of High Energy Physics. 2009 Jul 6;2009(4). 078. https://doi.org/10.1088/1126-6708/2009/04/078