Symmetries of Maldacena-Wilson loops from integrable string theory /
نام عام مواد
[Book]
نام نخستين پديدآور
Hagen Münkler.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Springer,
تاریخ نشرو بخش و غیره
[2018]
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource
فروست
عنوان فروست
Springer theses
يادداشت کلی
متن يادداشت
Doctoral Thesis accepted by the Humboldt-University Berlin, Berlin, Germany.
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references.
یادداشتهای مربوط به مندرجات
متن يادداشت
Intro; Supervisor's Foreword; Abstract; Publications; Acknowledgements; Contents; 1 Introduction; References; 2 Symmetries, Fields and Loops; 2.1 Symmetries; 2.1.1 Conformal Symmetry; 2.1.2 =4 Superconformal Symmetry; 2.1.3 Yangian Symmetry; 2.2 =4 Supersymmetric Yang-Mills Theory; 2.3 The AdS/CFT Correspondence; 2.3.1 Anti-de Sitter Space; 2.3.2 The Correspondence; 2.4 The Maldacena-Wilson Loop; 2.4.1 Wilson Loops in Gauge Theories; 2.4.2 The Maldacena-Wilson Loop; 2.4.3 The Strong-Coupling Description; 2.4.4 The Circular Maldacena-Wilson Loop; 2.4.5 The Duality to Scattering Amplitudes
متن يادداشت
4.3 Large Symmetry Transformations4.3.1 Analytical Deformations; 4.3.2 Numerical Deformations; 4.4 Infinitesimal Symmetry Transformations; 4.4.1 Variations of the Boundary Curves; 4.4.2 Evaluation of Conserved Charges; 4.5 Minimal Surfaces in S5; References; 5 Away from Strong Coupling; 5.1 Transferring Variations; 5.2 Transferring Generators; References; 6 Semisymmetric Space Models; 6.1 The String Action; 6.2 Integrability; 6.3 Master Symmetry; 6.4 Bonus Symmetries; References; 7 Minimal Surfaces in Superspace; 7.1 Poincaré Coordinates for the Supercoset; 7.2 The Superconformal Boundary
متن يادداشت
7.3 The Bulk Expansion7.3.1 Equations of Motion; 7.3.2 Virasoro Constraints; 7.3.3 Variation of the Minimal Area; 7.4 Yangian Symmetry; 7.4.1 Level Zero; 7.4.2 Level One; References; 8 Conclusion and Outlook; References; Appendix; A.1 Spinor Conventions; A.1.1 Four-Dimensional Minkowski Space; A.1.2 Six-Dimensional Euclidean Space; A.1.3 Ten-Dimensional Minkowski Space; A.2 The Fundamental Representation of mathfraku(2,2 vert4); A.3 Matrix-Valued Differential Forms; A.4 Transformation of the Local Term; A.5 Densities of the Yangian Generators; A.5.1 Level Zero; A.5.2 Level 1; References
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality. This duality is a modern concept that asserts an exact duality between conformally invariant quantum field theories and string theories in higher dimensional Anti-de Sitter spaces, and in this way provides a completely new tool for the study of strongly coupled quantum field theories. In this setting, the book focuses on the Wilson loop, an important observable in four-dimensional maximally supersymmetric gauge theory. The dual string description using minimal surfaces enables a systematic study of the hidden symmetries of the loop. The book presents major findings, including the discovery of a master symmetry for strings in general symmetric spaces, its relation to the Yangian symmetry algebra and its action on the minimal surfaces appearing in the dual string description of the Wilson loop. Moreover, it clarifies why certain symmetries are not present on the gauge theory side for purely bosonic Wilson loops and, lastly, how the supersymmetrization of the minimal surface problem for type IIB superstrings can be undertaken. As such, it substantially increases our understanding and use of infinite dimensional symmetries occurring in the AdS/CFT correspondence.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783030036058
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783030036041
شماره استاندارد بين المللي کتاب و موسيقي
9783030036065
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Loops (Group theory)
موضوع مستند نشده
String models.
موضوع مستند نشده
Symmetry (Mathematics)
موضوع مستند نشده
Loops (Group theory)
موضوع مستند نشده
Mathematical modelling.
موضوع مستند نشده
MATHEMATICS-- Geometry-- General.
موضوع مستند نشده
Statistical physics.
موضوع مستند نشده
String models.
موضوع مستند نشده
Symmetry (Mathematics)
مقوله موضوعی
موضوع مستند نشده
MAT-- 012000
موضوع مستند نشده
PHS
موضوع مستند نشده
PHS
رده بندی ديویی
شماره
516
.
1
ويراست
23
رده بندی کنگره
شماره رده
QA174
.
7
.
S96
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )