Conveners
Strings & Mathematical physics session on Zoom and in Main Auditorium.
- Georgios Papathanasiou
- Pedro Liendo
Strings & Mathematical physics session on Zoom and in Main Auditorium.
- Pedro Liendo
- Fabian Rühle
Mr
Christoph Dlapa
(Max Planck Institute for Physics)
24/09/2020, 13:45
Strings & Mathematical Physics
Differential equations are a powerful tool for computing Feynman integrals. Their solution is straightforward if one can find a transformation to a certain ‘canonical’ form, where the answer is manifestly given in terms of iterated integrals, such as multiple polylogarithms. An algorithmic way to construct the necessary transformation is therefore highly desired, and recent years have seen...
Niklas Henke
(DESY)
24/09/2020, 14:05
Strings & Mathematical Physics
Using the symbol bootstrap, loop amplitudes of planar $\mathcal{N}=4$ SYM theory can be obtained from their alphabet, the list of their singularities. The elements of this alphabet, the letters, coincide with the variables of certain cluster algebras. However, at eight and more particles these cluster algebras become infinite, whereas it is believed that the amplitudes only have finitely many...
Mr
Christoph Nega
(Bethe Center for Theoretical Physics)
24/09/2020, 14:25
Strings & Mathematical Physics
Using the Gelfand-Kapranov-Zelevinsk\u{\i} system for the primitive cohomology
of an infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop
order minus one, we completely clarify the analytic structure of all banana amplitudes with arbitrary
masses. In particular, we find that the leading logarithmic structure in the high energy regime, which ...
Mr
Anders Schreiber
(Brown University)
24/09/2020, 14:45
Strings & Mathematical Physics
A key challenge in the study of scattering amplitudes of $\mathcal{N}=4$ super-Yang-Mills theory is to understand their analytic structure. Symbols, a central tool in this topic, are known to contain particular cluster coordinates of $Gr(4,n)$ together with certain algebraic functions of cluster coordinates. In my talk, I will present an algorithm for computing symbol alphabets by solving...
Mr
Julian Miczajka
(Humboldt-Universität zu Berlin)
24/09/2020, 15:30
Strings & Mathematical Physics
Much of the calculational progress in $\mathcal{N}=4$ Super-Yang-Mills theory has been due to its integrability in the planar limit, which presents itself in form of an infinite-dimensional symmetry of Yangian-type. Recently it has been found that certain classes of ubiquituous massive Feynman diagrams feature a similar dual-conformal Yangian symmetry. I report on this progress and show how...
Dr
Markus Dierigl
(UPenn)
24/09/2020, 15:50
Strings & Mathematical Physics
In this talk I will summarize recent results on the fate of center 1-form symmetries in six and eight dimensions. In particular, I will discuss their interplay between other gauged higher-form symmetries causing obstructions to the gauging of the discrete center 1-form symmetries, which would result in non-simply connected non-Abelian gauge groups. In this way we can find previously unknown...
Dr
Daniel Kläwer
(Mainz University)
24/09/2020, 16:10
Strings & Mathematical Physics
We revisit infinite distance limits in the Kähler moduli space of F-theory compactifications to 4D with $\mathcal{N}=1$ supersymmetry. At the classical level, it is known that the existence of certain such limits imposes the structure of a rational or genus-one fibration on the three-dimensional base. As the fiber volume vanishes in the limit, wrapping the D3 brane on it gives rise to an...
Mrs
Nicole Righi
(DESY)
24/09/2020, 16:30
Strings & Mathematical Physics
I will present a mechanism for realising hybrid inflation using two axion fields with a purely non-perturbatively generated scalar potential. I will show that such model generates observationally viable slow-roll inflation for a wide range of initial conditions while accommodating certain Swampland conjectures. I will focus mainly on two possible avenues to embed harmonic hybrid inflation in...
Dr
Paul-Konstantin Oehlmann
(Uppsala University)
24/09/2020, 16:50
Strings & Mathematical Physics
In this work we consider pairs of elliptic Calabi-Yau threefolds, related by mirror symmetry that factorizes between fiber and base.
Extending work of Berglund and Mayr, this allows us to deduce the mirror dual base and fibration structures which we use to build up a dictionary between two different F-theory SUGRA theories:
The mirror acts as a quotient on the base while local gauge group...
Dr
Ignacio A. Reyes
(Max Planck Institute, Potsdam)
24/09/2020, 17:10
Strings & Mathematical Physics
Recent progress in our understanding of the black hole information paradox has lead to a new prescription for calculating entanglement entropies, which involves special subsystems in regions where gravity is dynamical, called *quantum extremal islands*. We present a simple holographic framework where the emergence of these islands can be understood in terms of the standard Ryu-Takayanagi...
