Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
57999 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}X_{3}$ | 0.8949 | 0.9673 | 0.9252 | [X:[1.5789, 1.4737, 1.3684], M:[0.5263], q:[0.8947, 0.3684], qb:[0.3684, 1.1053], phi:[0.2105]] | [X:[[0], [0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 49107/54872, c: 26539/27436, X1: 30/19, X2: 28/19, X3: 26/19, M1: 10/19, q1: 17/19, q2: 7/19, qb1: 7/19, qb2: 21/19, phi1: 4/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}M_{1}^{2}\phi_{1}q_{2}\tilde{q}_{1}$ | -2 | t^2.21 + t^2.84 + t^3.47 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + 2*t^5.21 + 2*t^5.68 - 2*t^6. + 2*t^6.32 + 3*t^6.95 + t^7.26 + 2*t^7.42 + t^7.58 - 2*t^7.74 + 3*t^7.89 + 2*t^8.05 - t^8.21 - 2*t^8.37 + 4*t^8.53 + 2*t^8.68 - 4*t^8.84 + t^7.89/y^2 - t^8.84/y^2 - t^3.63/y - t^4.26/y - t^5.84/y - t^6.47/y - t^7.11/y - t^7.74/y - t^8.37/y - t^3.63*y - t^4.26*y - t^5.84*y - t^6.47*y - t^7.11*y - t^7.74*y - t^8.37*y + t^7.89*y^2 - t^8.84*y^2 | t^2.21 + t^2.84 + t^3.47 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.21/g1^3 + g1^3*t^5.21 + 2*t^5.68 - 2*t^6. + 2*t^6.32 + 3*t^6.95 + t^7.26 + t^7.42/g1^3 + g1^3*t^7.42 + t^7.58 - t^7.74/g1^3 - g1^3*t^7.74 + 3*t^7.89 + t^8.05/g1^3 + g1^3*t^8.05 - t^8.21 - t^8.37/g1^3 - g1^3*t^8.37 + 4*t^8.53 + t^8.68/g1^3 + g1^3*t^8.68 - 4*t^8.84 + t^7.89/y^2 - t^8.84/y^2 - t^3.63/y - t^4.26/y - t^5.84/y - t^6.47/y - t^7.11/y - t^7.74/y - t^8.37/y - t^3.63*y - t^4.26*y - t^5.84*y - t^6.47*y - t^7.11*y - t^7.74*y - t^8.37*y + t^7.89*y^2 - t^8.84*y^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
61245 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}X_{3}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.89 | 0.9591 | 0.928 | [X:[1.5789, 1.4737, 1.3684], M:[0.5263, 1.0526], q:[0.8947, 0.3684], qb:[0.3684, 1.1053], phi:[0.2105]] | t^2.21 + t^3.16 + t^3.47 + t^4.11 + t^4.42 + t^4.74 + 2*t^5.21 + t^5.37 + t^5.68 - 2*t^6. - t^3.63/y - t^4.26/y - t^5.84/y - t^3.63*y - t^4.26*y - t^5.84*y | detail | {a: 97677/109744, c: 52629/54872, X1: 30/19, X2: 28/19, X3: 26/19, M1: 10/19, M2: 20/19, q1: 17/19, q2: 7/19, qb1: 7/19, qb2: 21/19, phi1: 4/19} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
57300 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4314 | 1.6163 | 0.8856 | [X:[1.3772], M:[0.7785], q:[0.4449, 0.6249], qb:[0.4651, 0.5966], phi:[0.3114]] | t^2.336 + t^2.73 + t^2.803 + t^3.125 + t^3.27 + t^3.664 + t^4.059 + t^4.131 + t^4.204 + 2*t^4.599 + t^4.671 + t^4.993 + t^5.066 + 2*t^5.138 + t^5.46 + t^5.478 + t^5.515 + 2*t^5.533 + t^5.606 + t^5.855 + t^5.909 + t^5.927 - 2*t^6. - t^3.934/y - t^4.869/y - t^3.934*y - t^4.869*y | detail |