- 10:00 - 11:00 Coffee in 39/40 AA 04
- The venue for the morning session is 22 AA 04.
- 11:00 - 11:50
Gerard Watts (KCL)
- 11:50 - 12:40 Louise Anderson
Generalised geometry and consistent truncations
- 12:40 - 14:00 Lunch
- The venue for the afternoon session is 22 AA 04.
- 14:00 - 14:50 Charles Young (Hertfordshire)
Affine Gaudin models and hypergeometric integrals of motion
- 14:50 - 15:40 Ines Aniceto (Jagiellonian)
From asymptotics to exact results in physics and mathematics
- 15:40 - 16:10 Tea & Coffee in 39/40 AA 04
- 16:10 - 17:00 Roberto Sisca (Surrey)
The universal geometry of heterotic vacua
- Gerard Watts (King's College, University of London)
- Louise Anderson (Imperial College, University of London)
- Generalised geometry and consistent truncations
- Consistent truncations of gravitational theories is a subject with a long history, and the classification of all possible consistent truncations is still an open problem. The language of generalised geometry offers a convenient way to study consistent truncations of supergravity by reformulating the problem in terms of a geometrical one. In this talk, I will introduce the framework of generalised geometry, and show how this can be used to find some new examples of manifolds with suitable properties to admit consistent truncations of supergravity.
- Charles Young (University of Hertfordshire)
- Affine Gaudin models and hypergeometric integrals of motion
- To any Kac-Moody algebra, one can associate a quantum Gaudin model. For algebras of finite type, the Bethe ansatz for these models has led to some rather deep mathematical results: notably, isomorphisms between the commutative algebra of Hamiltonians (called the Gaudin or Bethe algebra) and algebras of functions on spaces of "opers" (roughly, certain ordinary differential operators) for the Langlands dual algebra. One would like analogous results for affine-type Gaudin models, since they are closely related (in various ways) to integrable quantum field theories. In work in progress, Sylvain Lacroix, Benoit Vicedo and I introduce a notion of "affine opers" and show that the functions on the space of such opers take the form of certain hypergeometric-type integrals. We conjecture that these integrals yield eigenvalues of a new hierarchy of higher affine Gaudin Hamiltonians, and furthermore make a conjecture about the form of such Hamiltonians. I will describe this conjecture, and give some supporting evidence coming from GKO-type coset constructions of the Virasoro and W3 algebras.
- Ines Aniceto (Jagiellonian University)
- From asymptotics to exact results in physics and mathematics
- In order to study the weakly coupled regime of some given quantum theory we often make use of perturbative expansions of the physical quantities of interest. But such expansions are often divergent, and defined only as asymptotic series. This divergence is connected to the existence of nonperturbative contributions, i.e. instanton effects not captured by a perturbative analysis. The same asymptotic behaviour is also seen in a wide range of mathematical problems, such as the perturbative study of nonlinear systems described by differential of finite difference equations.
The theory of resurgence perfectly captures this perturbative/non-perturbative connection and its consequences. Moreover, it allows us to construct a full non-perturbative solution from perturbative data. In this talk, I will analyse essential role of resurgence theory, coupled to exponentially accurate numerical methods, to go beyond the perturbative results and obtain (analytically and numerically) nonperturbative data. I will exemplify how these techniques can be applied to a wide range of problems, from observables in gauge and string theories to asymptotic solutions of NLODEs.
- Roberto Sisca (University of Surrey)
- The universal geometry of heterotic vacua
We are interested in heterotic vacua at large radius. These vacua have parameters which are coordinates for a related geometry, known as the moduli space. Our interest is in how the moduli space geometry is modified by α' corrections.
We do this by considering a “universal geometry”, which is a fibration of the heterotic vacua over their moduli space. This is a surprisingly useful thing to do: it simplifies and unifies results recently found with more conventional methods, just as special relativity did for electromagnetism. It is also a powerful computational tool, which we have used to elegantly derive new results about the quantum corrected moduli space geometry.
Local Venue and Travel Information
Trains. There is a fast train from London (Waterloo) to Guildford which takes about 40 minutes.
See the south west trains schedule and the Unversity of Surrey
travel information website for further train and bus information.
It is a 15 minute walk from the train station to the University of Surrey
Exit the train station towards Guildford town centre. Turn left and walk along Walnut Tree Close for about 5 minutes. Take the first non-trivial left and walk along the bridge over the railway to reach the
university campus. Turn right and walk up the hill with the lake on your right. The AA building is next to Senate House at the top of this hill.
Parking. The university has a limited number of visitors parking spots, which should be requested in advance by contacting Andrea Prinsloo (firstname.lastname@example.org). There is also a large public car park adjacent to the university campus (its location is shown on this
Venues. On arrival, please go to 39/40 AA 04 (on the 4th floor of the AA building) for coffee and snacks, which will be available from 10:00 onwards. The venue for the morning and afternoon sessions 22 AA 04. The AA building is shown on this University of Surrey Stag Hill
campus map. Lunch will take place on campus.
After the meeting, participants are most welcome to join us for drinks and/or dinner in Guildford town centre.
Please contact Andrea Prinsloo (email@example.com) in 29b AA 04 or Alessandro Torrielli (firstname.lastname@example.org) in 33 AA 04 for any further local information.
The meeting is partially supported by a London Mathematical Society Joint Research Groups grant.
Limited funds are available to help with travel expenses of participants with no other source of funding. We hope that this will encourage postgraduate students and postdocs to attend the meeting.
Please email Clare Dunning (email@example.com) in advance if you would like to apply for support.
- List of Registered Participants
- Andrea Prinsloo (Surrey)
- Alessandro Torrielli (Surrey)
- Clare Dunning (Kent)
- Gerard Watts (KCL)
- Louise Anderson (Imperial)
- Charles Young (Hertfordshire)
- Ines Aniceto (Jagiellonian)
- Roberto Sisca (Surrey)
- Istvan Szecsenyi (City)
- Andrea Fontanella (Surrey)
- Carlo Meneghelli (Oxford)
- Benoit Vicedo (York)
- Jan Gutowski (Surrey)
- Steffen Krusch (Kent)
- Neal Carr (Kent)
- Aimilios Pagouropoulos (KCL)
- Paul Cook (KCL)
Go to the Department of Mathematics, University of Surrey home page.