Closed superstring field theory and its applications

Lacroix, Corinne de; Erbin, Harold; Kashyap, Sitender Pratap; Sen, Ashoke; Verma, Mritunjay

doi:10.1142/s0217751x17300216

Cited by 108 publications

(199 citation statements)

References 177 publications

(420 reference statements)

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“…Our goal in this paper will be to give a general proof of the subleading soft graviton theorem in any perturbative quantum field theory that includes gravity and gives S-matrix elements free from infrared and ultraviolet divergences. At present the only known candidates for such theories are heterotic and type II string field theories [54] in backgrounds with five or more non-compact flat space-time dimensions. 1 Our strategy will be the same one followed in [55], with the difference that instead of the classical action we work with the one particle irreducible (1PI) effective action.…”

Section: Introductionmentioning

confidence: 99%

Subleading soft graviton theorem for loop amplitudes

Sen

2017

J. High Energ. Phys.

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Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the subleading soft graviton theorem in these theories to all orders in perturbation theory for S-matrix elements of arbitrary number of finite energy external states but only one external soft graviton. We also prove the leading soft graviton theorem for arbitrary number of finite energy external states and arbitrary number of soft gravitons. Since our analysis is based on general properties of one particle irreducible effective action, the results are valid in any theory of quantum gravity that gives finite result for the S-matrix order by order in perturbation theory without violating general coordinate invariance.

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Section: Introductionmentioning

confidence: 99%

Subleading soft graviton theorem for loop amplitudes

Sen

2017

J. High Energ. Phys.

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“…Recently there has been substantial interest in a different kind of string field theory based on a dynamical field in the small Hilbert space. Such theories are easier to quantize, and provide a useful framework for taming infrared divergences in superstring perturbation theory [3]. Nevertheless, the Berkovits formulation continues to be intriguing.…”

Section: Jhep10(2017)057 1 Introductionmentioning

confidence: 99%

Superstring field theory and the Wess-Zumino-Witten action

Erler

2017

J. High Energ. Phys.

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We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting cyclic A ∞ structures together with a hierarchy of higher-form potentials analogous to the Maurer-Cartan elements which appear in the conventional Wess-Zumino-Witten action. We apply this formalism to get a better understanding of symmetries of open superstring field theory and the structure of interactions in the Ramond sector, describing an interesting connection between Ramond vertices and Feynman diagrams.

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“…If such a theory were to exist we could hope to have multiple dual descriptions which would allow us to study the strong coupling limit of string theory and unify the different formulations. For a brief overview, see [92,93,94]. While there has been tremendous successes along this direction, such as formulating open string theory as a Chern-Simons theory, there is still much that is unknown such as a good description of closed string field theory.…”

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confidence: 99%

The String Landscape, the Swampland, and the Missing Corner

Vafa¹,

Brennan²,

Carta³

2018

Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)

142

209

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We give a brief overview of the string landscape and techniques used to construct string compactifications. We then explain how this motivates the notion of the swampland and review a number of conjectures that attempt to characterize theories in the swampland. We also compare holography in the context of superstrings with the similar, but much simpler case of topological string theory. For topological strings, there is a direct definition of topological gravity based on a sum over a "quantum gravitational foam." In this context, holography is the statement of an identification between a gravity and gauge theory, both of which are defined independently of one another. This points to a missing corner in string dualities which suggests the search for a direct definition of quantum theory of gravity rather than relying on its strongly coupled holographic dual as an adequate substitute (Based on TASI 2017 lectures given by C. Vafa). Theoretical Advanced Study Institute in Elementary PoS(TASI2017)015The String Landscape, the Swampland, and the Missing Corner Cumrun VafaThese lecture notes from TASI 2017 give a brief overview of some of the open problems in string theory. We will be generally motivated by the philosophy that string theory is ultimately supposed to describe the fundamental laws of our universe. String theory is so versatile that it can be used to study a wide array of physical problems such as various topics in condensed matter and quark-gluon plasma or aspects of quantum fields theories in diverse dimensions. Much of the recent work using string theory has been focused on using its properties to solve specific problems rather than developing our understanding of string theory as a fundamental description of our universe. Here we aim to discuss topics which we hope will be useful in bringing string theory closer to observable aspects of fundamental physics.With this philosophy in mind, we will begin these lectures by reviewing some of what we know about string theory and its possible application to the universe by describing some generalities about the space of low energy theories theories coming from string theory compactifications: this is called the "string landscape." Supersymmetry plays a key organizing principle in this context. This will naturally lead us to investigate the question of how we know a priori if a low energy theory is in the landscape or it is not. The set of low energy physics models which look consistent but ultimately are not when coupled to gravity, is called the "swampland." Finding simple criteria to distinguish the swampland from the landscape is of great importance. In particular such criteria can lead to concrete predictions for our universe as we will discuss later. We review a number of conjectures which are aimed at distinguishing the swampland from the landscape.The string landscape and the swampland will be the topic of the first two lectures. In the third lecture, which is on a somewhat disjoint topic, we review critically where we are in our current understanding o...

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Closed superstring field theory and its applications

Cited by 108 publications

References 177 publications

Subleading soft graviton theorem for loop amplitudes

Subleading soft graviton theorem for loop amplitudes

Superstring field theory and the Wess-Zumino-Witten action

The String Landscape, the Swampland, and the Missing Corner

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