| Sep 18 (Tue) |
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| 10:00 - 11:00 |
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Yasuyuki Hatsuda (Rikkyo) |
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Instantons in the Hofstdater butterfly
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I will talk about recent developments a novel relation between topological string theory on local Calabi-Yau manifolds and 2d lattice electron systems in a magnetic field. In particular, I will discuss instanton effects in the weak magnetic flux limit for these models.
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| 11:15 - 12:15 |
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Gabi Zafrir (Kavli IPMU) |
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D-type Conformal Matter and SU/USp Quivers [file]
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We consider the compactification of 6d N = (1,0) SCFTs to 4d on tubes and tori with fluxes in the global symmetry, with the objective of trying to determine the resulting 4d theories. We propose to deal with this problem by fist reducing to 5d where effective low-energy gauge theory descriptions can be used. In this talk I'll detail this procedure illuminating its strengths and weaknesses. Particularly, I will also show how this procedure can be used to make progress on this problem for the case when the 6d SCFT is the D-type conformal matter theory.
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| (Break) |
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| 13:30 - 14:30 |
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Rui-Dong Zhu (Tokyo) |
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Elliptic (refined) topological vertex and 6d AGT relation [file]
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The topological vertex formalism is a convenient but powerful approach to the 5d/q-2d duality.
Especially we can find an algebra associated to the topological vertex with an R-matrix equipped on.
I will report on a parallel formulation of 6d gauge theories using an elliptic version of the refined topological vertex.
The corresponding algebra in this formalism is the so-called elliptic Ding-Iohara-Miki algebra defined by Saito.
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| 15:00 - 16:00 |
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Yuji Sugimoto (OCAMI) |
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Refined geometric transition and qq-characters [file]
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I will talk about geometric transition in the refined topological string and the relation to the qq-character. The refined topological string is useful to study 5d N = 1 supersymmetric gauge theory, and the brane in the topological string corresponds to the surface defect in gauge theory. To obtain the partition function of the refined topological string with brane, the geometric transition is powerful. Though the suggested way to operate the refined geometric transition has passed through several checks, it is additionally found in this paper that when we put the brane in certain position, the result calculated by the known method is inconsistent. We provide the modified formula involving this point. We then apply our prescription of the refined geometric transition to proposing the stringy description of doubly quantized Seiberg-Witten curves called qq-characters in certain cases.
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| Sep 19 (Wed) |
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| 10:00 - 11:00 |
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Seok Kim (SNU) |
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Deconfining vortices on M2-branes
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We discuss the N3/2 degrees of freedom from a QFT describing multiple M2-branes, and related topics.
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| 11:15 - 12:15 |
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Kento Sugiyama (Shizuoka) |
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Multi-cut Solutions in Chern-Simons Matrix Models [file]
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We study the Chern-Simons matrix models at large N. In general, the behaviors of matrix models at large N are characterized by solutions of saddle point equations of matrix eigenvalues. In this talk, we show the existence of novel types of multi-cut solutions in the Chern-Simons matrix models and propose an ansatz which may allow us to derive the analytic expressions for all these solutions. These solutions might also be related to the non-perturbative effects in string theories/M-theory. In particular, we show the relations between our novel multi-cut solutions and the D2-brane instanton in the ABJM matrix model.
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| (Break) |
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| 13:30 - 14:30 |
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Kotaro Tamaoka (Osaka) |
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Conformal blocks and AdS geometries [file]
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We study AdS space representation of conformal blocks in general dimension, called geodesic Witten diagrams (GWDs). The conformal blocks are basis of correlation functions in CFT and solutions of conformal Casimir equations. First, we show GWDs with various representation satisfy the conformal Casimir equation with the aid of the embedding formalism. Then we introduce and compute a generalized entanglement entropy by using the GWDs. We argue that the generalized one gives the entanglement wedge cross section, a generalization of the minimal surface.
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| 15:00 - 16:00 |
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Ryo Yokokura (Keio) |
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Ghost-free vector superfield actions in supersymmetric higher-derivative theories [file]
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We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional N = 1 global supersymmetric theories. We discuss possible building blocks for a ghost-free action and explicitly show that their bosonic parts have no ghost mode and the auxiliary field does not propagate. Higher-derivative terms yield higher powers of the auxiliary field in the actions, and the D-term equations of motion consequently admit multiple solutions in general. We confirm that the well-known supersymmetric Dirac-Born-Infeld action falls into this class. We further give another example in which the standard quadratic kinetic term (Maxwell term) is corrected by a quartic term of the field strength. We also discuss possible couplings to matter fields and a deformed D-term potential. This talk is based on JHEP 1709 (2017) 143 [arXiv:1708.05129].
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| Sep 20 (Thu) |
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| 10:00 - 11:00 |
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Jaewon Song (KIAS) |
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Landscape of simple SCFTs in 4d [file]
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We explore the infrared fixed points of four-dimensional N = 1 supersymmetric SU(2) gauge theory coupled to an adjoint and two fundamental chiral multiplets under all possible relevant deformations and F-term couplings to gauge-singlet chiral multiplets. We find 35 fixed points, including the N = 2 Argyres-Douglas theories H0 and H1. The theory with minimal central charge a is identical to the mass-deformed H0 theory. In addition, we find 30 candidate fixed point theories possessing unphysical operators--including one with very small central charges that need further investigation.
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| 11:15 - 12:15 |
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Yuya Kusuki (YITP) |
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Light cone structure of Virasoro blocks [file]
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The light cone OPE limit provides a significant amount of information regarding CFT. We started with the light cone bootstrap in the general CFT2 with c > 1. For this purpose, we needed an explicit asymptotic form of the Virasoro blocks in the limit z -> 1. Although unknown until now, in this study, we numerically computed them by the Zamolodchikov recursion relation and also analytically computed a part of them by studying the pole structure of the fusion matrix (or crossing kernel). Applying this result to the light cone bootstrap, we obtained the universal binding energy at a large angular momentum in AdS3. We can also provide a universal form of the Regge limit of the Virasoro blocks from the analysis of the light cone singularity. This Regge limit revealed a universal dynamics of n-th Renyi entropy and OTOCs.
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| (Break) |
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| 13:30 - 14:30 |
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Yasha Neiman (OIST) |
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dS/CFT in the causal patch: Hamiltonian structure for free higher-spin field
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I will describe an ongoing research program aimed at understanding the higher-spin model of dS/CFT. In particular, I am interested in how Lorentzian physics in a dS observer's causal patch can emerge from the Euclidean boundary theory. I will present the current state of the art, where the commutators and Hamiltonian of linearized bulk fields can be expressed purely in boundary language.
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| 15:00 - 17:00 |
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Free discussion |
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