Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory

被引：294

作者：

Gaiotto, Davide ^{[1
]}

Moore, Gregory W. ^{[2
,3
]}

Neitzke, Andrew ^{[1
]}

机构：

[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

[2] Rutgers State Univ, NHETC, Piscataway, NJ 08855 USA

[3] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 299卷 / 01期

关键词：

HYPERKAHLER METRICS; MODULI SPACE; DUALITY; STABILITY; GEOMETRY;

D O I：

10.1007/s00220-010-1071-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the BPS instanton corrections to the hyperkahler metric of the moduli space of the theory on R-3 x S-1. The wall-crossing formula reduces to the statement that this metric is continuous. Our construction of the metric uses a four-dimensional analogue of the two-dimensional tt* equations.

引用

页码：163 / 224

页数：62

共 50 条

[1] Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
Davide Gaiotto
Gregory W. Moore
Andrew Neitzke
Communications in Mathematical Physics, 2010, 299 : 163 - 224
[2] Three-dimensional dynamics of four-dimensional topological BF theory with boundary
Amoretti, A.
Blasi, A.
Maggiore, N.
Magnoli, N.
NEW JOURNAL OF PHYSICS, 2012, 14
[3] Three-dimensional and four-dimensional printing in otolaryngology
Irene Chiesa
Carmelo De Maria
Giovanni Vozzi
Riccardo Gottardi
MRS Bulletin, 2023, 48 : 676 - 687
[4] Three-dimensional and four-dimensional printing in otolaryngology
Chiesa, Irene
De Maria, Carmelo
Vozzi, Giovanni
Gottardi, Riccardo
MRS BULLETIN, 2023, 48 (06) : 676 - 687
[5] Four-dimensional Yang-Mills theory with a three-dimensional fermion membrane
Yamamoto, Arata
PHYSICS LETTERS B, 2011, 696 (03) : 305 - 307
[6] Four-Dimensional Entropy from Three-Dimensional Gravity
Carlip, S.
PHYSICAL REVIEW LETTERS, 2015, 115 (07)
[7] Four-dimensional Electromagnetic Field Theory
Tomilin, A. K.
2017 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM - SPRING (PIERS), 2017, : 1414 - 1420
[8] The assessment of fetal neurobehavior by three-dimensional and four-dimensional ultrasound
Kurjak, Asim
Tikvica, Ana
Stanojevic, Milan
Miskovic, Berivoj
Ahmed, Baldreldeen
Azumendi, Guillermo
Di Renzo, Gian Carlo
JOURNAL OF MATERNAL-FETAL & NEONATAL MEDICINE, 2008, 21 (10): : 675 - 684
[9] Three-dimensional and four-dimensional ultrasound applications in fetal medicine
Yagel, Simcha
Cohen, Sarah M.
Messing, Baruch
Valsky, Dan V.
CURRENT OPINION IN OBSTETRICS & GYNECOLOGY, 2009, 21 (02) : 167 - 174
[10] Three-dimensional and Four-dimensional Ultrasound: Techniques and Abdominal Applications
Kim, Se Hyung
Choi, Byung Ihn
JOURNAL OF MEDICAL ULTRASOUND, 2007, 15 (04) : 228 - 242

← 1 2 3 4 5 →