Numerical Analysis of Discretized ${\cal N}=(2,2)$ SYM on Polyhedra - INSPIRE

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Numerical Analysis of Discretized ${\cal N}=(2,2)$ SYM on Polyhedra

Syo Kamata
(
- Fudan U.
)
,
So Matsuura
(
- Keio U.
)
,
Tatsuhiro Misumi
(
- Akita U. and
- Keio U.
)
,
Kazutoshi Ohta
(
- Meiji Gakuin U.
)

Dec 6, 2016

7 pages

Part of Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016, 210

Published in:

PoS LATTICE2016 (2016) 210

Contribution to:

- Lattice 2016
, 210

Published: Dec 6, 2016 by SISSA

e-Print:

1612.01968 [hep-lat]

DOI:

10.22323/1.256.0210

View in:

ADS Abstract Service

reference search6 citations

Citations per year

Abstract: (arXiv)

We perform a numerical simulation of the two-dimensional

{\cal N}=(2,2)

supersymmetric Yang-Mills (SYM) theory on the discretized curved space. The

U(1)_{A}

anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phase-quenched (APQ) method", to make the partition function and observables well-defined by

U(1)_{A}

phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.

Note:

7 pages, 3 figures, 1 table, Proceedings of the 34th International Symposium on Lattice Field Theory (Lattice 2016), 24-30 July 2016, University of Southampton, UK

lattice field theory: supersymmetry
Yang-Mills: supersymmetry
dimension: 2
space-time: discrete
Ward-Takahashi identity
numerical calculations
partition function
zero mode
lattice
anomaly: axial

References(12)

Figures(8)

[1]

Precision test of the gauge/gravity duality in two-dimensional N=(8,8) SYM

Daisuke Kadoh
(
- Keio U.
)

- PoS LATTICE2016 (2017) 033
•
e-Print:
- 1702.01615
•
DOI:
- 10.22323/1.256.0033

[1]

Strings on the lattice and AdS/CFT

Valentina Forini
(
- Humboldt U., Berlin
)
,
Lorenzo Bianchi
(
- Hamburg U., Inst. Theor. Phys. II
)
,
Bjoern Leder
(
- Humboldt U., Berlin
)
,
Philipp Toepfer
(
- Humboldt U., Berlin
)
,
Edoardo Vescovi
(
- Humboldt U., Berlin and
- U. Sao Paulo (main)
)

- PoS LATTICE2016 (2016) 206
•
e-Print:
- 1702.02005
•
DOI:
- 10.22323/1.256.0206

[1]

S-duality in lattice super Yang-Mills

- PoS LATTICE2016 (2016) 209
•
e-Print:
- 1804.07792
•
DOI:
- 10.22323/1.256.0209

[1]

5D Maximally Supersymmetric Yang-Mills on the Lattice

Anosh Joseph
(
- ICTS, Bangalore and
- Cambridge U., DAMTP
)

- PoS LATTICE2016 (2016) 220
•
e-Print:
- 1610.03275
•
DOI:
- 10.22323/1.256.0220

[1]

Latest results from lattice N=4 supersymmetric Yang--Mills

- PoS LATTICE2016 (2016) 221
•
e-Print:
- 1611.06561
•
DOI:
- 10.22323/1.256.0221

[1]

Simulations of N=1 supersymmetric Yang-Mills theory with three colours

et al.

- PoS LATTICE2016 (2016) 222
•
e-Print:
- 1610.10097
•
DOI:
- 10.22323/1.256.0222

[1]

Spectroscopy of two dimensional N=2 Super Yang Mills theory

Daniel August
(
- Jena U., TPI
)
,
Björn Wellegehausen
(
- Giessen U. and
- Jena U., TPI
)
,
Andreas Wipf
(
- Jena U., TPI
)

- PoS LATTICE2016 (2016) 234
•
e-Print:
- 1611.00551
•
DOI:
- 10.22323/1.256.0234

[1]

Supergravity from Gauge Theory

Evan Berkowitz
(
- LLNL, Livermore
)

- PoS LATTICE2016 (2016) 238
•
e-Print:
- 1608.01951
•
DOI:
- 10.22323/1.256.0238

[2]

A Lattice formulation of superYang-Mills theories with exact supersymmetry

Fumihiko Sugino
(
- Seoul Natl. U.
)

- JHEP 01 (2004) 015
•
e-Print:
- hep-lat/0311021
•
DOI:
- 10.1088/1126-6708/2004/01/015

[3]

Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface

- PTEP 2014 (2014) 12, 123B01
•
e-Print:
- 1408.6998
•
DOI:
- 10.1093/ptep/ptu153

[4]

Lattice formulation for 2d = (2, 2), (4, 4) super Yang-Mills theories without admissibility conditions

So Matsuura
(
- Keio U.
)
,
Fumihiko Sugino
(
- Okayama Inst. Quantum Phys.
)

- JHEP 04 (2014) 088
•
e-Print:
- 1402.0952
•
DOI:
- 10.1007/JHEP04(2014)088

[5]

Anomaly and sign problem in $\mathcal{N}=(2,2)$ SYM on polyhedra: Numerical analysis

Syo Kamata
(
- Keio U.
)
,
So Matsuura
(
- Keio U.
)
,
Tatsuhiro Misumi
(
- Akita U. and
- Keio U.
)
,
Kazutoshi Ohta
(
- Meiji Gakuin U.
)

- PTEP 2016 (2016) 12, 123B01
•
e-Print:
- 1607.01260
•
DOI:
- 10.1093/ptep/ptw153