String coherent vertex operators of Neveu-Schwarz and Ramond states

Aldi, Alice; Firrotta, Maurizio

doi:10.1016/j.nuclphysb.2020.115050

Cited by 19 publications

(15 citation statements)

References 27 publications

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“…Maybe write d for A m 15 Useful discussions of the DDF operators also include [100,101]. See also [102][103][104][105][106][107][108] for further applicatio a di↵erent approach to excited string scattering, see [109]. In what follows, we explicitly work out the form of these vertex operators, essentially revie the construction in [99,43].…”

Section: Building Excited Statesmentioning

confidence: 99%

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

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Motivated by the desire to understand chaos in the S-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the “scattering equations”. We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

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Section: Building Excited Statesmentioning

confidence: 99%

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

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“…In this context, coherent states have been constructed in Refs. [24,25]. This will require a fermionic generalization of the Wick's theorem found here.…”

Section: Remarksmentioning

confidence: 95%

Normal ordering normal modes

Evslin

2021

Eur. Phys. J. C

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In a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing expectation values in the one-loop soliton ground state. The Hamiltonian of the theory, however, is usually normal ordered in the basis of operators which create plane waves. In this paper we find the Wick map between the two normal orderings. For concreteness, we restrict our attention to Schrodinger picture scalar fields in 1+1 dimensions, although we expect that our results readily generalize beyond this case. We find that plane wave ordered n-point functions of fields are sums of terms which factorize into j-point functions of zero modes, breather and continuum normal modes. We find a recursion formula in j and, for products of fields at the same point, we solve the recursion formula at all j.

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“…More recently, other interesting approaches have been proposed in the literature which deal with higher spin string states [30][31][32][33][34][35]. More works need to be done on higher spin string states, especially higher massive fermionic string states in the R-sector of superstrings, before one can fully understand the high-energy behavior of superstring theory.…”

Section: Introductionmentioning

confidence: 99%

Recent Developments of the Lauricella String Scattering Amplitudes and Their Exact SL(K + 3,C) Symmetry

2021

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In this review, we propose a new perspective to demonstrate the Gross conjecture regarding the high-energy symmetry of string theory. We review the construction of the exact string scattering amplitudes (SSAs) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory. These LSSAs form an infinite dimensional representation of the SL(K+3,C) group. Moreover, we show that the SL(K+3,C) group can be used to solve all the LSSAs and express them in terms of one amplitude. As an application in the hard scattering limit, the LSSA can be used to directly prove the Gross conjecture, which was previously corrected and proved by the method of the decoupling of zero norm states (ZNS). Finally, the exact LSSA can be used to rederive the recurrence relations of SSA in the Regge scattering limit with associated SL(5,C) symmetry and the extended recurrence relations (including the mass and spin dependent string BCJ relations) in the nonrelativistic scattering limit with the associated SL(4,C) symmetry discovered recently.

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String coherent vertex operators of Neveu-Schwarz and Ramond states

Cited by 19 publications

References 27 publications

Chaotic scattering of highly excited strings

Chaotic scattering of highly excited strings

Normal ordering normal modes

Recent Developments of the Lauricella String Scattering Amplitudes and Their Exact SL(K + 3,C) Symmetry

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