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Lattice Supersymmetry and Beyond

Europe/Copenhagen
Aud. A (Niels Bohr International Academy)

Aud. A

Niels Bohr International Academy

Hidenori Fukaya, Poul H. Damgaard, So Matsuura
Description
Lattice Supersymmetry and Beyond

24(Mon)-28(Fri) November 2008

Niels Bohr International Academy (Room: Aud. A )

-- NEWS --

Presentation slides can be downloaded ! (25 Nov 2008)

Timetable is uploaded ! (10 Nov 2008)

REGISTRATION is now open ! (15 Sep 2008)


Recently, there has been surprising progress in the program to define lattice gauge theories with exactly preserved supersymmetries. The new constructions have been based on new ideas from both field theory and string theory, including orbifolding, deconstruction, topological field theory, Eguchi-Kawai reduction and an intriguing connection to Dirac-Kahler fermions on the lattice. Almost all these different constructions have in common that they preserve only a subset of the continuum supersymmetries, and in fact links can be made between the different formulations so that they are indeed equivalent already at fixed lattice spacings. In this workshop we will focus on recent developments, and in particular look beyond, towards numerical simulations and towards applications in gauge-gravity dualities.

Shown above is one of the historical pictures at the NBIA.

Participants
  • Alan Luther
  • Alessandro D'Adda
  • Andrzej Wereszczynski
  • Charlotte Kristjansen
  • Falk Bruckmann
  • Fumihiko Sugino
  • Hidenori Fukaya
  • Hiroshi Suzuki
  • Jun Nishimura
  • Kim Splittorff
  • Michael Endres
  • Niels Obers
  • Noboru Kawamoto
  • Poul Henrik Damgaard
  • Poul Olesen
  • Rutger Boels
  • Shinji Hirano
  • Simon Catterall
  • So Matsuura
    • 09:00 10:00
      Registration 1h coffee room

      coffee room

      Niels Bohr International Academy

    • 10:00 10:30
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 12:30 13:30
      Lunch 1h Niels Bohr Institute Canteen

      Niels Bohr Institute Canteen

      Niels Bohr International Academy

    • 14:15 15:15
      Schwarzschild radius and black hole thermodynamics with alpha' corrections from simulations of SUSY matrix quantum mechanics 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      We present new results from our Monte Carlo simulation of SUSY matrix quantum mechanics with 16 supercharges at finite temperature. The internal energy can be fitted nicely to the behavior predicted from the dual black hole thermodynamics including the alpha' corrections. The temporal Wilson loop can also be predicted from the gravity side, and it is directly related to the Schwarzschild radius of the dual black hole geometry. Our results for the Wilson loop indeed confirm this prediction up to subleading terms anticipated from the alpha' corrections on the gravity side. All these results give us strong support and a firm basis for the idea to use matrix model simulations to study quantum gravity.
      Speaker: Prof. NISHIMURA
    • 15:30 16:00
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:00 10:30
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:30 11:30
      Numerical simulation of N=1 supersymmetric Yang-Mills theory using domain wall fermions 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      I will present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral limits without fine-tuning of operators. Results from this study will include measurements of the static potential, residual mass, gluino condensate as well as some preliminary measurements of the spectrum.
      Speaker: Dr ENDRES
    • 12:30 13:30
      Lunch 1h Niels Bohr Institute Canteen

      Niels Bohr Institute Canteen

      Niels Bohr International Academy

    • 14:15 15:15
      Supersymmetric lattices: theory and simulation 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      I discuss the connection between orbifolded and twisted constructions of supersymmetric lattices and present preliminary numerical results from simulations of Q=4 and Q=16 supercharge theories in a variety of dimensions.
      Speaker: Prof. CATTERALL
    • 15:30 16:00
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:00 10:30
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:30 11:30
      Some new ideas about lattice SUSY 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      I shall review the successful features of the so called "link approach" and analyse some points that have been criticized in the literature, in particular the link nature of supercharges and the use of modified Leibnitz rules. Some new ideas, that should allow, at least in some cases, to treat supersymmetry on the lattice exactly like a discrete translational symmetry, will be exposed.
      Speaker: Dr D'ADDA
    • 12:30 13:30
      Lunch 1h Niels Bohr Institute Canteen

      Niels Bohr Institute Canteen

      Niels Bohr International Academy

    • 14:15 15:15
      Lattice Supersymmetry from Blocking transformations 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Speaker: Dr BRUCKMANN
    • 15:30 16:00
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:00 10:30
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:30 11:30
      Relation among Supersymmetric Lattice Gauge Theories 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      Recently, several schemes to define gauge theories with exact supersymmetry on a space-time lattice have been developed. I will show that these seemingly different schemes are related with each other and the so-called orbifolding procedure gives the unifying framework. I will also mention on the supersymmetric Wilson loop in the orbifold lattice theory.
      Speaker: Dr MATSUURA
    • 12:30 13:30
      Lunch 1h Niels Bohr Institute Canteen

      Niels Bohr Institute Canteen

      Niels Bohr International Academy

    • 14:15 15:15
      2d N=(2,2) SYM in the machine 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      We numerically studied supersymmetric Ward-Takahashi identities ("PCSC" relation) in Sugino's lattice formulation of the two-dimensional N=(2,2) supersymmetric Yang-Mills theory with a scalar mass term. We obtained a clear evidence that full supersymmetry is restored in the continuum limit of this lattice model. This is a firm demonstration of, for the first time to our knowledge, realization of supersymmetry in lattice gauge theory. As physical application, we numerically observed that certain correlation functions related by supersymmetry exhibit a power-like behavior (which implies the absence of mass gap) and the static potential between probe charges in the fundamental representation is linearly-rising. The latter confining behavior appears distinct from a theoretical conjecture made in the '90s by Armoni, Frishman and Sonnenschein, although the static potential for larger distance has to be systematically explored to conclude real asymptotic behavior. This presentation is based on collaboration with Issaku Kanamori.
      Speaker: Dr SUZUKI
    • 15:30 16:00
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 18:30 20:30
      Workshop Dinner 2h [] ([])

      []

      []

    • 10:00 10:30
      Coffee & Tea 30m coffee room

      coffee room

      Niels Bohr International Academy

    • 10:30 11:30
      Ginsparg-Wilson formulation of 2D N=(2,2) SQCD with exact supersymmetry 1h Aud. A

      Aud. A

      Niels Bohr International Academy

      In this talk, I will discuss on lattice formulations of 2D N=(2,2) SQCD preservng one of the supercharges. In particular, the overlap Dirac operator, which satisfies the Ginsparg-Wilson relation, is introduced to the matter sector of the theory. It realizes the exact chiral flavor symmetry on the lattice, to make possible to define the lattice action for general number of the flavors of fundamental and anti-fundamental matter multiplets and for general twisted masses. Furthermore, superpotential terms can be introduced with exact holomorphic or anti-holomorphic structure on the lattice. I will also discuss the lattice formulation of matter multiplets charged only under the central U(1) (the overall U(1)) of the gauge group G=U(N), and then construct lattice models for gauged linear sigma models with exactly preserving one supercharge and their chiral flavor symmetry.
      Speaker: Dr SUGINO
    • 12:30 13:30
      Lunch 1h Niels Bohr Institute Canteen

      Niels Bohr Institute Canteen

      Niels Bohr International Academy

    • 15:30 16:30
      T talk at NBIA 1h coffee room

      coffee room

      Niels Bohr International Academy