Reona Arai, Tokyo Institute of Technology
[cancelled] Finite N corrections to the Schur index from D3-brane analysis in AdS_5/CFT_4
Meeting room 1, Kenkyu honkan 1F
We study the AdS/CFT correspondence by using the Schur index, which is the special limit of the superconformal index. Most of this talk, we focus on the correspondence between 4d N=4 U(N) SYM and Type IIB superstring theory on AdS_5×S^5. The agreement of the index at large N limit has confirmed by Kinney et al., but the case of finite N was a long mystery for last decade. In this talk, we propose a calculation method of the index on AdS side for finite N. The key point is to consider D3-branes wrapping three-cycles in S^5. We explicitly calculate contributions of these wrapping D3-branes to the index by analyzing fluctuations on the D3-branes. As far as we checked numerically, our results correctly reproduce the index on CFT side. We also try to apply our method to 4d S-fold theories, which are generalizations of the orientifold theories and have N=3 supersymmetry. Since it is known that S-fold theories have no Lagrangian description, we have to calculate the index on AdS side based on AdS/CFT correspondence. For some special cases, the supersymmetry is enhanced to N=4, and we use this phenomenon as a check for our prediction. You can also see our results are consistent with the supersymmetry enhancement.
Axel Perez-Obiol, Kochi Univ. of Technology
Coulomb 1D problem with general connection condition at the origin and non-Rydberg spectra
Seminar room, Kenkyu honkan 3F
We consider the solution of the quantum Coulomb problem in one dimension with the most general connection condition at the origin. The divergence of the derivative of the wave function at the origin invalidates the standard current conservation approach. We explore two approaches, Wronskian self-adjoint extension method and cutoff regularization method, and establish their mutual relations, thereby clarifying the physical contents of the connection parameters. We show how to realize exotic non-Loudon connection conditions, entailing the realization of non-Rydberg spectrum.
Masafumi Fukuma, Kyoto University
Tempered Lefschetz thimble method: the basics and applications
Seminar room, Kenkyu honkan 3F
The tempered Lefschetz thimble method (TLTM) [arXiv:1703.00861] is a parallel-tempering algorithm towards solving the numerical sign problem. It uses the flow time of the antiholomorphic gradient flow as a tempering parameter, and is expected to tame both the sign and ergodicity problems simultaneously that exist intrinsically in thimble methods. In this talk, we elaborate on the basics of TLTM, and apply the method to various problems, including the (0+1)-dimensional finite-density Thirring model and the quantum Monte Carlo simulation of the Hubbard model away from half filling.
Masafumi Fukuma, Kyoto University
Sign problem in Monte Carlo simulations and the tempered Lefschetz thimble method
Seminar room, Kenkyu honkan 3F, slides (kek.jp only)
When numerically estimating observables on a large-scale system with a complex-valued action, one needs an exponentially long computational time for precise estimation. After reviewing various approaches to this “sign problem”, we explain “the tempered Lefschetz thimble method”, which was introduced by MF and N. Umeda in [arXiv:1703.00861]. We argue that this has a potential to be a universal solution to the sign problem, by explicitly showing that this algorithm gives correct estimates for problems that have been difficult by other algorithms.
Matthew Dodelson, IPMU
High energy behavior of Mellin amplitudes
Seminar room, Kenkyu honkan 3F
I will describe recent work with Ooguri, in which we obtained bounds on the Mellin amplitude at high energies. I’ll start with a general overview of Mellin space, and then move on to our derivation of the bounds. The bounds are obtained by demanding that position space correlators don’t have spurious singularities. At the end I might talk about related ongoing work on black holes, if I have time.
Tomomi Sunayama, IPMU
Cosmology with Subaru Prime Focus Spectrograph (PFS)
Meeting room 1, Kenkyu honkan 1F
PFS (Prime Focus Spectrograph), a next generation facility instruments on the Subaru telescope, is a wide-field, massively multiplexed, and optical & near-infrared spectrograph. In the PFS cosmology survey, emission line galaxies (ELGs) in the wide redshift range from z= 0.6to2.4 over 1400 square-degree will be observed. The unique redshift range for the PFS cosmology survey is at z>2. We envision that we will start our survey from 2022, and I will describe strategies to achieve the scientific goals as well as the possible systematic problems for future fiber-fed spectroscopic surveys.
Po-Yen Tseng, Yonsei University
Light gauge boson interpretation for muon g-2 and J-PARC KOTO anomalies
Meeting room 3, Kenkyu honkan 1F
We discuss a list of possible light gauge boson interpretations for the long-standing experimental anomaly in $(g-2)\mu$ and also recent anomalous excess in $KL \rightarrow \pi^0 + \text{(invisible)}$ events at the J-PARC KOTO experiment. We consider two models: i) $L\mu – L\tau$ gauge boson with heavy vector-like quarks and ii) $(L\mu – L\tau) + \epsilon (B3 – L\tau)$ gauge boson in the presence of right-handed neutrinos. When the light gauge boson has mass close to the neutral pion in order to satisfy the Grossman-Nir bound, the models successfully explain the anomalies simultaneously while satisfying all known experimental constraints. We extensively provide the future prospect of suggested models.
Tatsuhiro Misumi, Akita University
Central-branch Wilson fermion, Spin chain and Aoki phase
Meeting room 1, Kenkyu honkan 1F In this talk, we first discuss the central-branch Wilson fermion, which is defined by imposing a specific relation between the mass and the Wilson parameter [1]. This setup gives two massless Dirac fermions in the continuum limit, and it turns out that no fine-tuning of m is required because the extra U(1) symmetry at the central branch prohibits the additive mass renormalization [2,3]. We show that Dirac determinant is positive semi-definite and this formulation is free from the sign problem, so the Monte Carlo simulation of the path integral is possible. By identifying the symmetry at low energy, we find that this lattice model has the mixed ’t Hooft anomaly between the extra U(1) symmetry, lattice translation, and lattice rotation, which means that the trivially gapped phase is forbidden at the central branch [4]. We discuss its relation to the anomaly of half-integer anti-ferromagnetic spin chains, so our lattice gauge theory is suitable for numerical simulation of Haldane conjecture. We also argue that it gives new and strict understanding on parity-broken phase (Aoki phase) of 2d Wilson fermion [4]. Furthermore, we show that our study can be extended to 4d lattice QCD with Wilson fermion, leading to a novel insight into the question which of Aoki-phase or Sharpe-Singleton scenarios is valid.
In this talk, we first discuss the central-branch Wilson fermion, which is defined by imposing a specific relation between the mass and the Wilson parameter [1]. This setup gives two massless Dirac fermions in the continuum limit, and it turns out that no fine-tuning of m is required because the extra U(1) symmetry at the central branch prohibits the additive mass renormalization [2,3]. We show that Dirac determinant is positive semi-definite and this formulation is free from the sign problem, so the Monte Carlo simulation of the path integral is possible. By identifying the symmetry at low energy, we find that this lattice model has the mixed ’t Hooft anomaly between the extra U(1) symmetry, lattice translation, and lattice rotation, which means that the trivially gapped phase is forbidden at the central branch [4]. We discuss its relation to the anomaly of half-integer anti-ferromagnetic spin chains, so our lattice gauge theory is suitable for numerical simulation of Haldane conjecture. We also argue that it gives new and strict understanding on parity-broken phase (Aoki phase) of 2d Wilson fermion [4]. Furthermore, we show that our study can be extended to 4d lattice QCD with Wilson fermion, leading to a novel insight into the question which of Aoki-phase or Sharpe-Singleton scenarios is valid.
[References]
[1] M. Creutz, T. Kimura, T. Misumi, Phys. Rev. D83 (2011) 094506, [arXiv:1101.4239].
[2] T. Kimura, S. Komatsu, T. Misumi, T. Noumi, S. Torii, S. Aoki, JHEP 01 (2012) 048, [arXiv:1111.0402].
[3] T. Misumi, PoS LATTICE2012 (2012) 005, [arXiv:1211.6999].
[4] T. Misumi, Y. Tanizaki, [arXiv:1910:09604].
Sanefumi Moriyama, Osaka City University
ABJM Matrix Model and 2D Toda Lattice Hierarchy
Meeting room 1, Kenkyu honkan 1F
It was known that the worldvolume of multiple M2-branes is described by 3D supersymmetric Chern-Simons theory (known as ABJM theory). After moving to the grand canonical ensemble, it was found in our previous works that the vacuum expectation values of half-BPS Wilson loops in the ABJM theory satisfy Giambelli relations and Jacobi-Trudi relations, which imply integrability directly. To investigate the integrable structure, we further defined two-point functions in ABJM matrix model and identified the structure as 2D Toda lattice hierarchy. In this talk I will give an overview of the recent progress on integrability in the ABJM theory.
Noriyuki Sogabe, Keio U
Triangle anomalies and nonrelativistic Nambu-Goldstone modes of generalized global symmetries
Meeting room 1, Kenkyu honkan 1F In massless QCD coupled to QED in an external magnetic field, a photon with the linear polarization in the direction of the external magnetic field mixes with the charge neutral pion through the triangle anomaly, leading to one gapless mode with the quadratic dispersion relation ω?k^2 and one gapped mode. In this talk, we show that this gapless mode can be interpreted as the so-called type-B Nambu-Goldstone (NG) mode associated with the spontaneous breaking of the generalized global symmetries and that its presence is solely dictated by the anomalous commutator in the symmetry algebra. We also argue a possible realization of such nonrelativistic NG modes in 3-dimensional Dirac semimetals.
