17 research outputs found
Full Phase Diagram of a UV Completed Yang-Mills-Chern-Simons Matter Theory
We study the large phase diagram of an asymptotically free UV completion
of super-Yang-Mills-Chern-Simons theory coupled to a
single massive fundamental scalar multiplet with a quartic superpotential
coupling. We compute the effective superpotential at small gauge coupling
, and combine this with previous results in the literature
to obtain the full phase diagram in this regime. We find that tuning the UV
parameters allows us to reach various phases and fixed points of Chern-Simons
theory that were recently discovered using large techniques, as well as new
phases that characterize the Yang-Mills theory. We also conjecture the form of
the phase diagram for general values of and for finite .Comment: 48 pages + appendices, 11 figure
Supersymmetric Gauge Theories from String Theory
The subject of this thesis are various ways to construct four-dimensional
quantum field theories from string theory. In a first part we study the
generation of a supersymmetric Yang-Mills theory, coupled to an adjoint chiral
superfield, from type IIB string theory on non-compact Calabi-Yau manifolds,
with D-branes wrapping certain subcycles. The low energy limit of this
non-Abelian gauge theory can be obtained from a second non-compact Calabi-Yau
geometry, which is related to the first one through a geometric transition. In
particular, the effective superpotential governing the vacuum structure of the
gauge theory can be obtained from integrals on a Calabi-Yau manifold. These
integrals in turn are related to matrix model quantities and one therefore can
use the matrix model to learn something about the gauge theory vacua. The
second part of this work covers the generation of four-dimensional
supersymmetric gauge theories, carrying several important characteristic
features of the standard model, from compactifications of eleven-dimensional
supergravity on G_2-manifolds. We discuss anomaly cancellation through inflow
in the case of conical singularities, present an explicit compact manifold with
two conical singularities and weak G_2-holonomy, and review the anomaly
cancellation mechanism in the context of M-theory on the interval.Comment: PhD-thesis; 224 pages, 17 figure
LIPIcs, Volume 274, ESA 2023, Complete Volume
LIPIcs, Volume 274, ESA 2023, Complete Volum
On deformations and quantization in topological string theory
Die Untersuchung der Moduli RÀumen von N = (2,2) Superkonformen Feldtheorien und der allgemeineren N = (2,2) Supersymmetrischen Quanten Feldtheorien ist ein langjÀhriges und vielseitiges Forschungsgebiet. Diese Dissertation konzentriert sich auf gewisse allgemeine Aspekte des erwÀhnten Studiums, und stellt Entwicklungen von allgemeinen Methoden im Rahmen der Topologischen String Theorie dar. Die vorliegende Arbeit besteht aus zwei Teilen.
Der erste Teil befasst sich mit Aspekten der geschlossenen Topologischen String Theorie und kulminiert in den Inhalt von [52], wo die geometrische Struktur der Topologischen anti-Topologischen Moduli RĂ€umen von N = (2, 2) Superkonformen Feldtheorien mit Zentral Ladung c = 9, angesichts eines allgemeinen Quantisieung-Rahmens [31, 32] wiederentdeckt wird. Aus dieser Sichtweise erhĂ€lt man, als Spezialfall, eine klare Einsicht der âholomorphic anomaly equationâ von [6]. Diese Arbeit könnte als eine natĂŒrliche Erweiterung von frĂŒheren Untersuchungen in Ă€hnlicher Richtung betrachtet werden, insbesondere vom grundlegenden Artikel [104].
Der zweite Teil befasst sich mit Aspekten der Untersuchung der Offenen und Geschlossenen Moduli RĂ€umen von Topologischen Konformen Feldtheorien auf Genus Null. Insbesondere, ist hier eine Exposition von [13] enthalten, wo allgemeine Resultate ĂŒber die Klassifizierung und Berechnung von âbulk-inducedâ Deformationen von Offenen Topologischen Konformen Feldtheorien erhalten wurden. Letzteres wurde durch eine kohĂ€rente algebraische Methode erreicht was sich auf den definierenden Lâ und Aâ beteiligten Strukturen bezieht. Teilweise ist die letztere Untersuchung auf beliebige Affine B-twisted Landau Ginzburg Modelle beschrĂ€nkt. Nachfolgend wird weitere originelle Arbeit dargestellt was die Topologische String-Feld-Theoretische Struktur von B-twisted Landau Ginzburg Modellen vollendet. Insbesondere wird eine âoff-shellâ Erweiterung der Kapustin-Li Formel von [41, 49] gegeben. Diese âoff-shellâ Formel bezeichnet einen konsolidierenden Baustein der algebraischen Herangehensweise zur Berechnung des Effektiven Superpotentials von B-twisted Affine Landau Ginzburg Modellen, und kann damit als eine natĂŒrliche Entwicklung von der grundlegenden Arbeit [12] betrachtet werden.The study of moduli spaces of N = (2, 2) superconformal field theories and more generally of N = (2, 2) supersymmetric quantum field theories, has been a longstanding, multifaceted area of research. In this thesis we focus on certain selected general aspects of this study and develop general techniques within the framework of topological string theory. This work is naturally divided into two parts.
The first is concerned with aspects of closed topological string theory, and culminates with the content of [52], where the geometrical structure of the topological anti-topological moduli spaces of N = (2,2) superconformal field theories with central charge c = 9 is rediscovered in the light of quantization, within a general framework ([31, 32]). From this point of view, one thus obtains, as a special case, a clear understanding of the holomorphic anomaly equation of [6]. This work can be viewed as a natural continuation of earlier studies in the same direction, most notably the seminal paper [104].
The second part is concerned with aspects of the study of the open and closed moduli space of topological conformal field theories at genus zero. In particular, it contains an exposition of [13], where general results on the classification and computation of bulk- induced deformations of open topological conformal field theories were obtained from a coherent algebraic approach, drawing from the defining Lâ and Aâ structures involved. In part, the latter investigation is restricted to arbitrary affine B-twisted Landau Ginzburg models. Subsequently, further original work is presented that completes the topological string field theory structure of B-twisted Landau Ginzburg models, providing in particular an off-shell extension of the Kapustin-Li pairing of [41, 49]. This off-shell pairing constitutes a consolidating building block in the algebraic approach to the computation of the effective superpotential of B-twisted affine Landau Ginzburg models pioneered in [12]