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 |
---|---|---|---|---|---|---|---|---|---|
4780 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4329 | 0.5098 | 0.8491 | [X:[1.5385, 1.5385, 1.3846], M:[0.4615, 0.7692, 0.4615, 0.7692, 1.2308, 0.9231, 1.2308], q:[1.1538, 0.3846], qb:[0.3846, 0.8462], phi:[0.3077]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 951/2197, c: 1120/2197, X1: 20/13, X2: 20/13, X3: 18/13, M1: 6/13, M2: 10/13, M3: 6/13, M4: 10/13, M5: 16/13, M6: 12/13, M7: 16/13, q1: 15/13, q2: 5/13, qb1: 5/13, qb2: 11/13, phi1: 4/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}M_{2}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.308 + t^2.769 + 2*t^3.231 + t^4.154 + t^4.615 + t^5.077 + 3*t^5.538 - 2*t^6. + 3*t^6.462 - t^6.923 + 3*t^7.846 - t^8.308 + 2*t^8.769 - t^3.923/y - t^6.692/y + t^7.154/y + t^8.077/y + (2*t^8.538)/y - t^3.923*y - t^6.692*y + t^7.154*y + t^8.077*y + 2*t^8.538*y | t^2.308 + t^2.769 + 2*t^3.231 + t^4.154 + t^4.615 + t^5.077 + 3*t^5.538 - 2*t^6. + 3*t^6.462 - t^6.923 + 3*t^7.846 - t^8.308 + 2*t^8.769 - t^3.923/y - t^6.692/y + t^7.154/y + t^8.077/y + (2*t^8.538)/y - t^3.923*y - t^6.692*y + t^7.154*y + t^8.077*y + 2*t^8.538*y |
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 |
---|---|---|---|---|---|---|---|---|
6404 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}M_{8}$ | 0.4258 | 0.4979 | 0.8552 | [X:[1.5385, 1.5385, 1.3846], M:[0.4615, 0.7692, 0.4615, 0.7692, 1.2308, 0.9231, 1.2308, 1.0769], q:[1.1538, 0.3846], qb:[0.3846, 0.8462], phi:[0.3077]] | t^2.308 + 3*t^3.231 + t^4.154 + t^4.615 + 3*t^5.538 - 4*t^6. - t^3.923/y - t^3.923*y | detail | {a: 14967/35152, c: 8751/17576, X1: 20/13, X2: 20/13, X3: 18/13, M1: 6/13, M2: 10/13, M3: 6/13, M4: 10/13, M5: 16/13, M6: 12/13, M7: 16/13, M8: 14/13, q1: 15/13, q2: 5/13, qb1: 5/13, qb2: 11/13, phi1: 4/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
2639 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{7}$ | 0.6651 | 0.8251 | 0.8061 | [M:[0.9459, 0.8133, 0.9459, 0.8133, 1.1867, 0.7469, 1.1867], q:[0.6475, 0.4066], qb:[0.4066, 0.7801], phi:[0.4398]] | t^2.241 + t^2.44 + t^2.639 + 2*t^2.838 + 2*t^3.56 + 2*t^3.759 + t^4.283 + 3*t^4.482 + t^4.681 + 2*t^4.88 + 3*t^5.079 + t^5.204 + t^5.278 + 2*t^5.476 + 3*t^5.675 + 2*t^5.801 - t^6. - t^4.319/y - t^4.319*y | detail |