### Abstract

I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar supersymmetry which can be implemented exactly in the lattice theory. Using these ideas a lattice action for N = 4 super Yang-Mills in four dimensions can be written down which is gauge invariant, free of fermion doublers and respects one out of a total of 16 continuum supersymmetries. It is shown how these exact symmetries together with the large point group symmetry of the lattice strongly constrain the possible counterterms needed to renormalize the theory and hence determine how much residual fine tuning will be needed to restore all supersymmetries in the continuum limit. We report on progress to study these renormalization effects at one loop. We go on to give examples of applications of these supersymmetric lattice theories to explore the connections between gauge theories and gravity.

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

Journal | Proceedings of Science |

Volume | 105 |

State | Published - Jan 1 2010 |

Event | 28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy Duration: Jun 14 2010 → Jun 19 2010 |

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### ASJC Scopus subject areas

- General

### Cite this

**Twisted lattice supersymmetry and applications to AdS/CFT.** / Catterall, Simon M.

Research output: Contribution to journal › Conference article

}

TY - JOUR

T1 - Twisted lattice supersymmetry and applications to AdS/CFT

AU - Catterall, Simon M

PY - 2010/1/1

Y1 - 2010/1/1

N2 - I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar supersymmetry which can be implemented exactly in the lattice theory. Using these ideas a lattice action for N = 4 super Yang-Mills in four dimensions can be written down which is gauge invariant, free of fermion doublers and respects one out of a total of 16 continuum supersymmetries. It is shown how these exact symmetries together with the large point group symmetry of the lattice strongly constrain the possible counterterms needed to renormalize the theory and hence determine how much residual fine tuning will be needed to restore all supersymmetries in the continuum limit. We report on progress to study these renormalization effects at one loop. We go on to give examples of applications of these supersymmetric lattice theories to explore the connections between gauge theories and gravity.

AB - I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar supersymmetry which can be implemented exactly in the lattice theory. Using these ideas a lattice action for N = 4 super Yang-Mills in four dimensions can be written down which is gauge invariant, free of fermion doublers and respects one out of a total of 16 continuum supersymmetries. It is shown how these exact symmetries together with the large point group symmetry of the lattice strongly constrain the possible counterterms needed to renormalize the theory and hence determine how much residual fine tuning will be needed to restore all supersymmetries in the continuum limit. We report on progress to study these renormalization effects at one loop. We go on to give examples of applications of these supersymmetric lattice theories to explore the connections between gauge theories and gravity.

UR - http://www.scopus.com/inward/record.url?scp=85055316854&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055316854&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055316854

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -