ON THE UNIQUENESS OF STRING THEORY

We show that bosonic strings may be viewed as a particular class of vacua for N=1 superstrings, and N=1 superstrings may be viewed as a particular class of vacua for N=2 strings. Continuing this line of string hierarchies, we are led to search for a universal string theory which includes all the rest as a special vacuum selection.

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On the existence of the global conformal gauge in string theory

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09399-9 ◽

2021 ◽

Vol 81 (7) ◽

Author(s):

M. O. Katanaev

Keyword(s):

String Theory ◽

Global Existence ◽

Bosonic Strings ◽

Crucial Role ◽

Riemannian Metric ◽

Positive Definite ◽

Two Dimensional ◽

Lorentzian Metric ◽

Long Time ◽

Conformal Gauge

AbstractThe global conformal gauge is playing the crucial role in string theory providing the basis for quantization. Its existence for two-dimensional Lorentzian metric is known locally for a long time. We prove that if a Lorentzian metric is given on a plain then the conformal gauge exists globally on the whole $${{\mathbb {R}}}^2$$ R 2 . Moreover, we prove the existence of the conformal gauge globally on the whole worldsheets represented by infinite strips with straight boundaries for open and closed bosonic strings. The global existence of the conformal gauge on the whole plane is also proved for the positive definite Riemannian metric.

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THE INVARIANT CHARGES OF THE NAMBU–GOTO STRING THEORY: QUANTIZATION OF NON-ADDITIVE COMPOSITION LAWS

International Journal of Modern Physics A ◽

10.1142/s0217751x04016957 ◽

2004 ◽

Vol 19 (01) ◽

pp. 115-147 ◽

Cited By ~ 5

Author(s):

K. POHLMEYER ◽

M. TRUNK

Keyword(s):

Quantum Theory ◽

String Theory ◽

Minkowski Space ◽

Bosonic Strings ◽

Selection Rules ◽

Dimensional Minkowski Space ◽

Composition Laws

We examine and implement the concept of non-additive composition laws in the quantum theory of closed bosonic strings moving in (3+1)-dimensional Minkowski space. Such laws supply exact selection rules for the merging and splitting of closed strings.

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THE FOUR-POINT FUNCTION ON A SURFACE OF INFINITE GENUS

Modern Physics Letters A ◽

10.1142/s021773239400112x ◽

1994 ◽

Vol 09 (14) ◽

pp. 1299-1307 ◽

Cited By ~ 2

Author(s):

SIMON DAVIS

Keyword(s):

String Theory ◽

Bosonic Strings ◽

Infinite Number ◽

Moduli Space ◽

Ground State ◽

Point Function ◽

Intermediate States ◽

Space Approach

The four-point function arising in the scattering of closed bosonic strings in their tachyonic ground state is evaluated on a surface of infinite genus. The amplitude has poles corresponding to physical intermediate states and divergences at the boundary of moduli space, but no new types of divergences result from the infinite number of handles. The implications for the universal moduli space approach to string theory are briefly discussed.

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CONSTRUCTION OF AN IDENTICALLY NILPOTENT BRS CHARGE IN THE KATO–OGAWA STRING THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x99000713 ◽

1999 ◽

Vol 14 (09) ◽

pp. 1357-1377 ◽

Cited By ~ 4

Author(s):

MITSUO ABE ◽

NOBORU NAKANISHI

Keyword(s):

Field Equation ◽

String Theory ◽

Quantum Gravity ◽

Bosonic Strings ◽

Open String ◽

Indefinite Metric ◽

Two Dimensional ◽

Conformal Gauge ◽

Wightman Functions ◽

Artificial Introduction

In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of finite length; the open-string case is nothing but the Kato–Ogawa string theory. The field-equation anomaly found previously, which means a slight violation of a field equation at the level of Wightman functions, remains existent in the finite-string cases. By using this fact, a BRS charge nilpotent even for D≠26 is explicitly constructed in the framework of the Kato–Ogawa string theory. The FP-ghost vacuum structure of the Kato–Ogawa theory is made more transparent; the appearance of half-integral ghost numbers and the artificial introduction of an indefinite metric are avoided.

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