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This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some…

代数几何 · 数学 2007-05-23 Paul S. Aspinwall

Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

高能物理 - 理论 · 物理学 2010-12-03 Sumit R. Das , Cesar Gomez

Any N=2 superconformal gauge theory (including N=4 SYM) contains a set of local operators made only out of fields in the N=2 vector multiplet that is closed under renormalization to all loops, namely the SU(2,1|2) sector. For planar N=4 SYM…

高能物理 - 理论 · 物理学 2015-03-04 Elli Pomoni

We review some examples of heterotic/type II string duality which shed light on the infrared dynamics of string compactifications with N=2 and N=1 supersymmetry in four dimensions.

高能物理 - 理论 · 物理学 2007-05-23 Shamit Kachru

We analyze U(N) Born-Infeld gauge theory in two spacetime dimensions. We derive the exact energy spectrum on the circle and show that it reduces to N relativistic fermions on a dual space. This contrasts to the Yang-Mills case that reduces…

高能物理 - 理论 · 物理学 2014-04-24 Alexios P. Polychronakos

Since the background fields of the string low energy action are supposed to be the long range manifestation of a condensate of strings, the addition of world sheet actions to the low energy effective action needs some string theoretic…

高能物理 - 理论 · 物理学 2016-08-24 S. P. de Alwis , K. Sato

The Ward identities of the $W_{\infty}$ symmetry in 2D string theory in the tachyon background are studied in the continuum approach. Comparing the solutions with the matrix model results, it is verified that 2D string amplitudes are…

高能物理 - 理论 · 物理学 2007-05-23 Ken-ji Hamada

We consider the low energy effective action corresponding to the 1-loop, planar, dilatation operator in the scalar sector of N=4 SU(N) SYM theory. For a general class of non-holomorphic ``long'' operators, of bare dimension L>>1, it is a…

高能物理 - 理论 · 物理学 2009-09-17 M. Kruczenski , A. Tseytlin

We study tree level scattering amplitudes of four massless states in the double scaled little string theory, and compare them to perturbative loop amplitudes in six-dimensional super-Yang-Mills theory. The little string amplitudes are…

高能物理 - 理论 · 物理学 2015-06-22 Chi-Ming Chang , Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in four dimension. NCYM derived from the…

高能物理 - 理论 · 物理学 2007-05-23 Hiroyuki Takata

We study the large charge sector of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Specifically, we consider correlation functions of two large charge insertions and several…

高能物理 - 理论 · 物理学 2022-04-07 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

高能物理 - 理论 · 物理学 2020-11-11 Dibakar Roychowdhury

String representations of the Wilson loop are constructed in the SU(N)-version of compact QED in three and four dimensions. This is done exactly in the case of the fundamental Wilson loop and in the large-N limit in the case of the adjoint…

高能物理 - 理论 · 物理学 2010-04-15 Dmitri Antonov

A reformulation of the superconformal Ward identities that combines all the superconformal currents and the associated parameters in one multiplet is given for theories with rigid N=1 or N=2 supersymmetry. This form of the Ward Identities…

高能物理 - 理论 · 物理学 2009-10-30 P. S. Howe , P. C. West

We propose a duality between the large-N gauged harmonic oscillator and a novel string theory in two dimensions.

高能物理 - 理论 · 物理学 2009-11-10 Nissan Itzhaki , John McGreevy

I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed…

高能物理 - 理论 · 物理学 2008-02-03 Neil Marcus

We discuss duality between Type IIA string theory, eleven-dimensional supergravity, and heterotic string theory in four spacetime dimensions with $N=1$ supersymmetry. We find theories whose infrared limit is trivial at enhanced symmetry…

高能物理 - 理论 · 物理学 2009-07-09 J. A. Harvey , D. A. Lowe , A. Strominger

Two dimensional Non-Commutative Open String (NCOS) theory, well-defined perturbatively, may also be studied at strong coupling and for large D-string charge by making use of the Holographic duality. We analyze the zero mode dynamics of a…

高能物理 - 理论 · 物理学 2014-11-18 Vatche Sahakian

The Tseytlin duality symmetric string makes manifest the $O(n,n)$ T-duality symmetry on the worldsheet at the expense of manifest Lorentz invariance. Here we consider the two-loop renormalisation of this model in the context of…

高能物理 - 理论 · 物理学 2021-10-28 Neil B. Copland , Giacomo Piccinini , Daniel C. Thompson

Based on our previous studies of the BRST cohomology of the critical N=2 strings, we construct the loop measure and make explicit the role of the spectral flow at arbitrary genus and Chern class, in a holomorphic field basis. The spectral…

高能物理 - 理论 · 物理学 2007-05-23 S. V. Ketov