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Topological String Theory and Related Topics
from
Monday, June 3, 2019 (8:00 AM)
to
Friday, June 14, 2019 (6:00 PM)
Monday, June 3, 2019
9:00 AM
Registration
Registration
9:00 AM  9:30 AM
Room: 42004
9:30 AM
A review on nonperturbative topological string theory and its applications

Alba Grassi
(U)
A review on nonperturbative topological string theory and its applications
Alba Grassi
(U)
9:30 AM  10:30 AM
Room: 4/3006  TH Conference Room
In this talk I will review a nonperturbative definition of topological string theory and discuss some of its applications. I will explain how this construction is related to blowup equations (see talk by Gu), the Hofstadter butterfly problem (see talk by Hatsuda) and the theory of Painlevé equations (see talks by Marshakov, Teschner and Del Monte
10:30 AM
Coffee Break
Coffee Break
10:30 AM  11:00 AM
Room: 4/2011  TH common room
11:00 AM
Electrons on the honeycomb lattice and topological strings

Yasuyuki Hatsuda
(Department of Physics, Rikkyo University)
Electrons on the honeycomb lattice and topological strings
Yasuyuki Hatsuda
(Department of Physics, Rikkyo University)
11:00 AM  11:30 AM
Room: 4/3006  TH Conference Room
I would like to briefly review our recent works on an application of topological string theory to 2d electron system. I will explain how to generalize this idea to the case of honeycomb lattice.
11:30 AM
Solving refined BPS invariants with blowup equations

Jie Gu
(University of Geneva)
Solving refined BPS invariants with blowup equations
Jie Gu
(University of Geneva)
11:30 AM  12:00 PM
Room: 4/3006  TH Conference Room
6:00 PM
Cocktail
Cocktail
6:00 PM  7:00 PM
Tuesday, June 4, 2019
9:00 AM
Topological String and String effective couplings

Kumar Narain
(ICTP)
Topological String and String effective couplings
Kumar Narain
(ICTP)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
We will review the relation between Topological String Theory and the physical string couplings in the context of Type II string theories. Mapping the problem to physical string couplings allows one to study their dual heterotic theories that give rise to Schwinger like formulae for the singularity structures due to the appearance of massless BPS states. In this context we also discuss the refined topological string and present some new perspectives and open questions.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
The Geometry Behind Topological Amplitudes

Carlo Angelantonj
The Geometry Behind Topological Amplitudes
Carlo Angelantonj
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
Wednesday, June 5, 2019
9:00 AM
Topological strings, knots and quivers

Piotr Sulkowski
Topological strings, knots and quivers
Piotr Sulkowski
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
I will review a recently discovered correspondence between topological strings (and knots and their invariants in particular) and quiver representation theory.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
Identifying matter in Ftheory via the topological string

AmirKian KashaniPoor
Identifying matter in Ftheory via the topological string
AmirKian KashaniPoor
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
2:00 PM
Resurgence, Matrices, and Strings (TH Colloquium)

Ricardo Pina Schiappa De Carvalho
(Universidade de Lisboa (PT))
Resurgence, Matrices, and Strings (TH Colloquium)
Ricardo Pina Schiappa De Carvalho
(Universidade de Lisboa (PT))
2:00 PM  3:15 PM
Room: 4/3006  TH Conference Room
Perturbation theory is generically divergent, leading to series with zero radius of convergence. When such asymptotic perturbativeseries are resurgent, this problem can be tackled by extending the perturbative series into a nonperturbative transseries, in a specified fashion. Resurgent transseries may then be used to go beyond perturbation theory in generic problems across theoretical physics, and address diverse nonperturbative phenomena. This colloquium will cover a brief introduction to resurgence and transseries, with some illustrative applications within (zerodimensional) gauge theories (i.e., matrix models) and (topological) stringtheoretic settings
Thursday, June 6, 2019
9:00 AM
Topological String on Elliptic CalabiYau 3folds and 6d SCFT

Albrecht Klemm
(Institut fuer Theoretische Physik)
Topological String on Elliptic CalabiYau 3folds and 6d SCFT
Albrecht Klemm
(Institut fuer Theoretische Physik)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
We describe four methods to solve the topological string on elliptic CalabiYau manifolds and its relation to 6d SCFT.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
BPS variation of Hodge structure

Murad Alim
(University of Hamburg)
BPS variation of Hodge structure
Murad Alim
(University of Hamburg)
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
The existence, decay and formation of BPS boundstates in N=2 theories are controlled by the central charge function through the notion of Pistability. In this talk I will describe the variation of the central charge over the moduli space of a given theory introducing a notion of BPS variation of Hodge structure. This description leads to exact results, giving exact descriptions of the walls of marginal stability and sheds new light on the attractor flow as a tool to solve the BPS problem. This is based on joint work with Florian Beck, Anna Biggs and Daniel Bryan.
Friday, June 7, 2019
9:00 AM
Triality in Little String Theories

Stefan Hohenegger
(Centre National de la Recherche Scientifique (FR))
Triality in Little String Theories
Stefan Hohenegger
(Centre National de la Recherche Scientifique (FR))
9:00 AM  9:45 AM
Room: 4/3006  TH Conference Room
I discuss a class of little string theories (LSTs) with eight supercharges on the worldvolume of N M5branes probing a transverse Z_M orbifold. These Mbrane configurations compactified on a circle are dual to M D5branes intersecting N NS5branes on T^2 x R^{7,1} as well as to Ftheory compactified on a toric CalabiYau threefold X_{N,M}. I argue that the Kähler cone of X_{N,M} admits three regions associated with weakly coupled quiver gauge theories of gauge groups [U(N)]^M, [U(M)]^N and [U(NM/k)]^k where k=gcd(N,M). These provide lowenergy descriptions of different LSTs. The duality between the first two gauge theories is well known and is a consequence of the Sduality between D5 and NS5branes or the Tduality of the LSTs. The triality involving the third gauge theory is new and I demonstrate it using several examples. Finally, I argue that triality implies a dihedral symmetry for the theories with M=1, which acts intrinsically nonperturbative from a gauge theory perspective.
9:45 AM
Coffee Break
Coffee Break
9:45 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
Chiral algebras, instanton strings, and hidden symmetries

Guglielmo Lockhart
Chiral algebras, instanton strings, and hidden symmetries
Guglielmo Lockhart
10:30 AM  11:15 AM
Room: 4/3006  TH Conference Room
I will discuss a class of 2d NLSMs which describe D3 branes wrapped on a twosphere and probing an Ftheory singularity. The chiral algebras of the NLSMs turn out to be a very useful tool. For one choice of twisting, the resulting NLSMs describe 6d instanton strings, and the chiral algebras encode BPS invariants of elliptic threefolds. A different choice of twist leads to NSLMs on minuscule varieties; in one notable example, the chiral algebra of the NLSM describes the ghost sector of the pure spinor superstring, and our construction reveals the existence of a hidden E6 symmetry.
Saturday, June 8, 2019
Sunday, June 9, 2019
Monday, June 10, 2019
9:00 AM
Cluster integrable systems, supersymmetric gauge theories and topological strings

Andrei Marshakov
(Center for Advanced Studies, Skoltech)
Cluster integrable systems, supersymmetric gauge theories and topological strings
Andrei Marshakov
(Center for Advanced Studies, Skoltech)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
Painlevé/Gauge theory correspondence on the torus

Fabrizio Del Monte
(SISSA, Trieste)
Painlevé/Gauge theory correspondence on the torus
Fabrizio Del Monte
(SISSA, Trieste)
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
In the last few years there have been many new results connecting (linear quiver) N=2 class S theories, and the topological strings that engineeer them, to the theory of isomonodromic deformations on the sphere and their qdeformations. The aim of this talk is to show how this connection can be extended beyond the case of genus zero, which corresponds to circular quiver gauge theories, including adjoint hypermultiplets in the description. We will see how the genus one case displays new qualitative features that are absent on the sphere, due to the possibility of various inequivalent vector bundles, and how this actually provides new interesting relations satisfied by the 4d all genus Topological String partition function.
11:00 AM
Partition functions from quantum curves

Joerg Teschner
(DESY)
Partition functions from quantum curves
Joerg Teschner
(DESY)
11:00 AM  11:30 AM
Room: 4/3006  TH Conference Room
In joint work with I. Coman and E. Pomoni we had recently proposed a definition of the topological string partition functions for the local CalabiYau manifolds used in the geometric engineering of N=2, d=4 class S field theories. The main goal of my talk will be to review this proposal, and to explain how the exact WKB method provides a crucial ingredient. We thereby arrive at a fully nonperturbative construction of the partition functions from the classical curves describing the relevant Bmodel backgrounds.
Tuesday, June 11, 2019
9:00 AM
GromovWittenFloer theory and mirror symmetry

YongGeun Oh
(Postec)
GromovWittenFloer theory and mirror symmetry
YongGeun Oh
(Postec)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
In this talk I will first review the Lagrangian Floer theory in the general context of openclosed TFT in two dimensions and then explain its application to the mirror symmetry of compact toric manifolds. In particular, I will explain construction of a natural isomorphism between the Frobenius manifold structures of the (big) quantum cohomology of a toric manifold and of Saito's theory of singularities of the potential function constructed via the bulkdeformed Floer cohomology. Our proof of the isomorphism involves the openclosed GromovWitten theory of oneloop. This talk is based on a series of joint works with Fukaya, Ohta and Ono.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
The general theory of Btype LanduGinburg models

Calin Lazaroiu
(Institute for Basic Science, Center for Geometry and Physics)
The general theory of Btype LanduGinburg models
Calin Lazaroiu
(Institute for Basic Science, Center for Geometry and Physics)
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
I give a very brief review of the main points of my recent work on the constructive field theory of the most general class of Btype LandauGinzburg models, stressing the conceptually important parts while avoiding most of the mathematical details.
11:00 AM
Open intersection numbers, matrix models and Wconstraints

Alexander Alexandrov
(CGP IBS)
Open intersection numbers, matrix models and Wconstraints
Alexander Alexandrov
(CGP IBS)
11:00 AM  11:30 AM
Room: 4/3006  TH Conference Room
In their recent work R. Panharipande, J. Solomon and R. Tessler constructed intersection theory on the moduli spaces of Riemann surfaces with boundaries. The goal of my talk is to describe the generating function of this theory, which is a simplest example of the open topological string model, in terms of matrix models and integrable hierarchies. The geometrical description of the open theory is much more complicated then the closed one, however, on the level of matrix models and integrable systems the difference is not so dramatic and the open case can be described by a natural deformation of the KontsevichWitten model.
Wednesday, June 12, 2019
9:00 AM
Bounding Chains in Open GromovWitten Theory

Jake Solomon
(Hebrew University)
Bounding Chains in Open GromovWitten Theory
Jake Solomon
(Hebrew University)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
I will discuss an approach to establishing the foundations of open GromovWitten theory based on bounding chains and Fukaya Ainfinity algebras.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
Periods and quasiperiods of modular forms and the mirror quintic at the conifold

Emanuel Scheidegger
(Universitaet Augsburg)
Periods and quasiperiods of modular forms and the mirror quintic at the conifold
Emanuel Scheidegger
(Universitaet Augsburg)
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
We exhibit a relation between the analytic continuation of the periods of the mirror quintic to the conifold and periods and quasiperiods of a certain weight 4 Hecke eigenform associated to the mirror quintic. To explain this, we review the theory of periods of modular forms and extend it to quasiperiods.
6:00 PM
Cocktail
Cocktail
6:00 PM  7:00 PM
Thursday, June 13, 2019
9:00 AM
BV quantization and special coordinates in quantum field theory

JaeSuk Park
(Postec)
BV quantization and special coordinates in quantum field theory
JaeSuk Park
(Postec)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
We show that there is a universal algebraic structure, closely related with that of the WDVV equation, governing quantum correlation functions of every quantum field theory based on the BV quantization scheme.
10:00 AM
Coffee Break
Coffee Break
10:00 AM  10:30 AM
Room: 4/2011  TH common room
10:30 AM
Sphere partition function and the refined swampland distance conjecture

Johanna Knapp
(TU Wien)
Sphere partition function and the refined swampland distance conjecture
Johanna Knapp
(TU Wien)
10:30 AM  11:00 AM
Room: 4/3006  TH Conference Room
The sphere partition function of the gauged linear sigma model computes the exact metric on the Kaehler moduli space of a CalabiYau. We use this to test the refined swampland distance conjecture for examples of oneparameter CalabiYau threefolds with exotic hybrid points. This is joint work with David Erkinger.
11:00 AM
Modularity from Monodromy

Thorsten Schimannek
(University of Vienna)
Modularity from Monodromy
Thorsten Schimannek
(University of Vienna)
11:00 AM  11:30 AM
Room: 4/3006  TH Conference Room
We discuss the relation between certain autoequivalences of the category of Bbranes on elliptic CalabiYau threefolds and modular properties of the corresponding topological string partition function. This suggests a geometric explanation and generalization of recent conjectures on the appearance of lattice Jacobi forms. In particular, we will shed light on the special case where the fibration does not have a section but only multisections.
Friday, June 14, 2019
9:00 AM
Matrix Factorizations and Homological Mirror Symmetry

Wolfgang Lerche
(CERN)
Matrix Factorizations and Homological Mirror Symmetry
Wolfgang Lerche
(CERN)
9:00 AM  10:00 AM
Room: 4/3006  TH Conference Room
I will review how matrix factorizations can be used to do computations in homological mirror symmetry and show that a crucial ingredient is a generalization of Saito's residue pairings to boundaries.