# Strong Fields, Integrability and Strings

Created: | 2007-11-28 09:09 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | Two central theories in modern theoretical physics are gauge fields and strings. Quantum gauge fields form the basis of the standard model of elementary particle physics, and are also rich mathematically - indeed, a rigorous derivation of their spectrum is one of the Clay Institute's seven millennium prize problems in mathematics. String theory potentially unifies quantum physics with gravity, and has offered a rich vein of mathematical exploration for over thirty years. Right from the early days, when string theory was envisaged as a model of strongly interacting particles, and more recently exemplified in the AdS/CFT correspondence, it has been clear that there is a close and rather mysterious relationship between the two.
The programme starts with some open issues in QCD, the gauge theory of quarks and gluons. Both conceptual issues such as dynamical mass generation and color confinement, and phenomenological ones such as properties of the quark-gluon plasma studied in ultra-relativistic ion collisions and the nature of matter at high baryon density, can be tackled by a variety of non-perturbative approaches involving lattice simulations, the properties of topologically non-trivial solutions of the Yang-Mills field equations, or random matrix models.We then consider more theoretical questions, in particular involving supersymmetry and large-rank gauge groups, where pure N = 1 supersymmetric Yang-Mills theories (SYM) are directly connected with QCD. The increased analytic control offered by such models coupled with new techniques based on duality symmetries have enabled many exciting new, exact results in recent years, including bounds on transport coefficients which may potentially inform RHIC phenomenology. The same ideas, for varying degrees of supersymmetry, naturally recur in matrix models and string theory, and lead on to the central theme of the programme, the gauge/string correspondence. A recent feature of this has been the ubiquitous appearance of 'integrability', the exact solubility of certain classical and quantum models. Integrability appears on both sides of the AdS/CFT correspondence, with spin-chain techniques enabling the calculation of anomalous dimensions in the N = 4 SYM which match string states which are those of classical integrable systems, while the hidden symmetries of the full AdS string sigma models are yet to be unravelled. Another important recent development is the reformulation of weakly-coupled Yang-Mills theory as a string theory in twistor space, leading to a resurgence in the application of string-inspired techniques to perturbative calculations in gauge theories. The programme thus encompasses a broad sweep of interests and techniques, from strong-interaction phenomenology and lattice simulation through theoretical aspects of gauge fields and strings to integrability. In our view there has never been a more fertile time for workers from different ranges of this spectrum to interact and exchange ideas and insight. The programme will be supplemented by workshops on Deconfinement in QCD (in August) and Integrability and the gauge/string correspondence (December) and a school on Gauge fields and strings (September). |

# Media items

This collection contains 103 media items.

### Media items

#### AdS/YM integrability and the Ising Model

Gomez, C (Madrid)

Wednesday 14 November 2007, 11:30-12:45

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 6 Dec 2007

#### Algebraic aspects of the AdS/CFT S matrix

Spill, F (Imperial)

Thursday 13 December 2007, 16:10-16:30

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 7 Jan 2008

#### Anomalous dimensions at strong coupling: NNLO and beyond

Roiban, R (Penn State)

Tuesday 11 December 2007, 09:30-10:10

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 20 Dec 2007

#### Anomalous dimensions of local operators and Pomeron in N=4 SUSY

Lipatov, L (Petersburg Nuclear Physics Institute)

Thursday 13 December 2007, 10:15-10:55

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 7 Jan 2008

#### Applying the BES trick to QCD

Ferretti, G (Chalmers )

Tuesday 11 December 2007, 16:10-16:50

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 14 Dec 2007

#### Aspects of strongly coupled 2+1D Yang-Mills

Agarwal, A (AEI Potsdam)

Monday 19 November 2007, 11:30-12:45

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 20 Dec 2007

#### Baxter equations for super Yang-Mills theories

Belitsky, A (Arizona State)

Friday 14 December 2007, 09:30-10:10

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 7 Jan 2008

#### Black hole deconstruction

Taylor, M (Amsterdam)

Thursday 08 November 2007, 11:00-12:30

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 5 Dec 2007

#### Black holes in Yang Mills theory 1

Minwalla, S (TIFR)

Monday 24 September 2007, 09:45-11:00

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 9 Nov 2007

#### Black holes in Yang Mills theory 2

Minwalla, S (TIFR)

Tuesday 25 September 2007, 08:30-09:45

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 13 Nov 2007

#### Black holes in Yang Mills theory 3

Minwalla, S (TIFR)

Tuesday 25 September 2007, 15:45-17:00

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 13 Nov 2007

#### Black holes in Yang Mills theory 4

Minwalla, S (TIFR)

Wednesday 26 September 2007, 09:45-11:00

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 20 Nov 2007

#### Branes and field theory 1

Kutasov, D (Chicago)

Tuesday 18 September 2007, 15:45-17:00

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Sat 22 Sep 2007

#### Branes and field theory 2

Kutasov, D (Chicago)

Wednesday 19 September 2007, 14:00-15:15

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Sun 23 Sep 2007

#### Branes and field theory 3

Kutasov, D (Chicago)

Thursday 20 September 2007, 15:45-17:00

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 3 Oct 2007

#### Branes and field theory 4

Kutasov, D (Chicago)

Friday 21 September 2007, 08:30-09:45

Gauge Fields and Strings

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 5 Oct 2007

#### Classical and quantum aspects of integrable shocks

Corrigan, E (York)

Wednesday 12 December 2007, 10:15-10:55

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 3 Jan 2008

#### Collapsing the Bethe ansatz

Fendley, P (Oxford/Virginia)

Tuesday 11 December 2007, 15:30-16:10

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 19 Dec 2007

#### Conformal field theories with supergroup symmetry

Quella, T (Amsterdam)

Wednesday 21 November 2007, 11:30-12:45

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 20 Dec 2007

#### Correlation functions of quantum integrable models

Maillet, JM (ENS Lyon \& CNRS)

Monday 10 December 2007, 16:50-17:30

Integrability and the Gauge/String Correspondence

**Collection**:
Strong Fields, Integrability and Strings

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 14 Dec 2007