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 |
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542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6062 | 0.7779 | 0.7793 | [M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]] | [M:[[4], [-12], [-4], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -3 | 3*t^2.239 + 2*t^3.043 + 2*t^3.13 + 2*t^3.674 + t^3.761 + 3*t^4.391 + 6*t^4.478 + 6*t^5.283 + 4*t^5.369 + 5*t^5.913 - 3*t^6. + t^6.087 + 4*t^6.174 + 3*t^6.261 + 5*t^6.631 + 10*t^6.717 + 2*t^6.804 + 3*t^7.435 + 11*t^7.522 + 6*t^7.609 + 4*t^8.065 + 6*t^8.152 - 12*t^8.239 + 3*t^8.326 + 8*t^8.413 + 5*t^8.5 + 5*t^8.783 + 6*t^8.87 + 14*t^8.957 - t^4.522/y - t^6.761/y + t^7.391/y + (4*t^7.478)/y - t^7.565/y - t^7.652/y + (7*t^8.283)/y + (6*t^8.369)/y + (6*t^8.913)/y - t^4.522*y - t^6.761*y + t^7.391*y + 4*t^7.478*y - t^7.565*y - t^7.652*y + 7*t^8.283*y + 6*t^8.369*y + 6*t^8.913*y | 3*g1*t^2.239 + (2*t^3.043)/g1^4 + (2*t^3.13)/g1^12 + 2*g1^7*t^3.674 + t^3.761/g1 + 3*g1^10*t^4.391 + 6*g1^2*t^4.478 + (6*t^5.283)/g1^3 + (4*t^5.369)/g1^11 + 5*g1^8*t^5.913 - 3*t^6. + t^6.087/g1^8 + (4*t^6.174)/g1^16 + (3*t^6.261)/g1^24 + 5*g1^11*t^6.631 + 10*g1^3*t^6.717 + (2*t^6.804)/g1^5 + 3*g1^6*t^7.435 + (11*t^7.522)/g1^2 + (6*t^7.609)/g1^10 + 4*g1^17*t^8.065 + 6*g1^9*t^8.152 - 12*g1*t^8.239 + (3*t^8.326)/g1^7 + (8*t^8.413)/g1^15 + (5*t^8.5)/g1^23 + 5*g1^20*t^8.783 + 6*g1^12*t^8.87 + 14*g1^4*t^8.957 - t^4.522/(g1^2*y) - t^6.761/(g1*y) + (g1^10*t^7.391)/y + (4*g1^2*t^7.478)/y - t^7.565/(g1^6*y) - t^7.652/(g1^14*y) + (7*t^8.283)/(g1^3*y) + (6*t^8.369)/(g1^11*y) + (6*g1^8*t^8.913)/y - (t^4.522*y)/g1^2 - (t^6.761*y)/g1 + g1^10*t^7.391*y + 4*g1^2*t^7.478*y - (t^7.565*y)/g1^6 - (t^7.652*y)/g1^14 + (7*t^8.283*y)/g1^3 + (6*t^8.369*y)/g1^11 + 6*g1^8*t^8.913*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 |
---|---|---|---|---|---|---|---|---|
850 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.5739 | 0.7444 | 0.771 | [M:[0.9091, 1.2727, 1.0909, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 3*t^2.182 + 4*t^3.273 + 6*t^3.818 + 6*t^4.364 + 11*t^5.455 + 6*t^6. - t^4.636/y - t^4.636*y | detail | {a: 6111/10648, c: 3963/5324, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
851 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.587 | 0.7429 | 0.7902 | [M:[0.9864, 1.0409, 1.0136, 0.7466, 1.2534], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | 2*t^2.24 + 2*t^3.041 + 2*t^3.123 + 2*t^3.678 + 2*t^3.76 + 3*t^4.398 + 3*t^4.48 + 4*t^5.281 + 2*t^5.363 + 3*t^5.918 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
852 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6254 | 0.8129 | 0.7694 | [M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]] | 4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. - t^4.523/y - t^4.523*y | detail | |
1899 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6244 | 0.811 | 0.77 | [M:[0.9923, 1.023, 1.0077, 0.7481, 0.7634], q:[0.7481, 0.2596], qb:[0.4885, 0.4885], phi:[0.5038]] | 3*t^2.244 + t^2.29 + 2*t^3.023 + 2*t^3.069 + t^3.71 + t^3.756 + 3*t^4.443 + 6*t^4.489 + 3*t^4.534 + t^4.58 + 6*t^5.267 + 6*t^5.313 + 2*t^5.359 + 2*t^5.954 - 2*t^6. - t^4.511/y - t^4.511*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
344 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6064 | 0.7787 | 0.7788 | [M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^4.522/y - t^4.522*y | detail |