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 |
---|---|---|---|---|---|---|---|---|---|
2446 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7105 | 0.8815 | 0.806 | [M:[0.9165, 1.0278, 1.0835, 0.8608, 0.9165, 0.9722, 0.9165], q:[0.5139, 0.5696], qb:[0.4026, 0.5696], phi:[0.4861]] | [M:[[-6], [2], [6], [-10], [-6], [-2], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -6 | t^2.582 + 3*t^2.749 + 3*t^2.916 + t^3.874 + t^4.208 + 2*t^4.375 + t^4.542 + 2*t^4.709 + 3*t^4.876 + t^5.165 + 3*t^5.332 + 7*t^5.499 + 8*t^5.666 + 4*t^5.833 - 6*t^6. - 3*t^6.167 - t^6.334 + t^6.456 - 2*t^6.501 + 3*t^6.623 + 4*t^6.79 + 2*t^6.957 + 7*t^7.124 + 7*t^7.291 + 3*t^7.458 + 7*t^7.625 + 2*t^7.747 + 4*t^7.792 + 3*t^7.914 - 6*t^7.959 + 8*t^8.081 - 2*t^8.126 + 14*t^8.248 + 14*t^8.415 + 8*t^8.582 - 8*t^8.749 - 23*t^8.916 - t^4.458/y - t^7.041/y - (2*t^7.208)/y - t^7.375/y + t^7.542/y + (2*t^7.709)/y + t^7.876/y + (3*t^8.332)/y + (6*t^8.499)/y + (9*t^8.666)/y + (3*t^8.833)/y - t^4.458*y - t^7.041*y - 2*t^7.208*y - t^7.375*y + t^7.542*y + 2*t^7.709*y + t^7.876*y + 3*t^8.332*y + 6*t^8.499*y + 9*t^8.666*y + 3*t^8.833*y | t^2.582/g1^10 + (3*t^2.749)/g1^6 + (3*t^2.916)/g1^2 + t^3.874/g1^15 + t^4.208/g1^7 + (2*t^4.375)/g1^3 + g1*t^4.542 + 2*g1^5*t^4.709 + 3*g1^9*t^4.876 + t^5.165/g1^20 + (3*t^5.332)/g1^16 + (7*t^5.499)/g1^12 + (8*t^5.666)/g1^8 + (4*t^5.833)/g1^4 - 6*t^6. - 3*g1^4*t^6.167 - g1^8*t^6.334 + t^6.456/g1^25 - 2*g1^12*t^6.501 + (3*t^6.623)/g1^21 + (4*t^6.79)/g1^17 + (2*t^6.957)/g1^13 + (7*t^7.124)/g1^9 + (7*t^7.291)/g1^5 + (3*t^7.458)/g1 + 7*g1^3*t^7.625 + (2*t^7.747)/g1^30 + 4*g1^7*t^7.792 + (3*t^7.914)/g1^26 - 6*g1^11*t^7.959 + (8*t^8.081)/g1^22 - 2*g1^15*t^8.126 + (14*t^8.248)/g1^18 + (14*t^8.415)/g1^14 + (8*t^8.582)/g1^10 - (8*t^8.749)/g1^6 - (23*t^8.916)/g1^2 - t^4.458/(g1*y) - t^7.041/(g1^11*y) - (2*t^7.208)/(g1^7*y) - t^7.375/(g1^3*y) + (g1*t^7.542)/y + (2*g1^5*t^7.709)/y + (g1^9*t^7.876)/y + (3*t^8.332)/(g1^16*y) + (6*t^8.499)/(g1^12*y) + (9*t^8.666)/(g1^8*y) + (3*t^8.833)/(g1^4*y) - (t^4.458*y)/g1 - (t^7.041*y)/g1^11 - (2*t^7.208*y)/g1^7 - (t^7.375*y)/g1^3 + g1*t^7.542*y + 2*g1^5*t^7.709*y + g1^9*t^7.876*y + (3*t^8.332*y)/g1^16 + (6*t^8.499*y)/g1^12 + (9*t^8.666*y)/g1^8 + (3*t^8.833*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
4488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.6998 | 0.8603 | 0.8134 | [M:[0.9418, 1.0194, 1.0582, 0.903, 0.9418, 0.9806, 0.9418, 1.097], q:[0.5097, 0.5485], qb:[0.4321, 0.5485], phi:[0.4903]] | 3*t^2.825 + 3*t^2.942 + t^3.291 + t^4.063 + t^4.296 + 2*t^4.413 + t^4.529 + 2*t^4.646 + 3*t^4.762 + 4*t^5.651 + 8*t^5.767 + 4*t^5.884 - 6*t^6. - t^4.471/y - t^4.471*y | detail | |
4490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.731 | 0.9201 | 0.7945 | [M:[0.9227, 1.0258, 1.0773, 0.8712, 0.9227, 0.9742, 0.9227, 0.6932], q:[0.5129, 0.5644], qb:[0.4098, 0.5644], phi:[0.4871]] | t^2.08 + t^2.614 + 3*t^2.768 + 3*t^2.923 + t^4.159 + t^4.229 + 2*t^4.384 + t^4.539 + 3*t^4.693 + 6*t^4.848 + 3*t^5.002 + t^5.227 + 3*t^5.382 + 7*t^5.536 + 8*t^5.691 + 4*t^5.845 - 6*t^6. - t^4.461/y - t^4.461*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 |
---|---|---|---|---|---|---|---|---|---|
1382 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.7035 | 0.8675 | 0.8109 | [M:[0.9322, 1.0226, 1.0678, 0.887, 0.9322, 0.9774], q:[0.5113, 0.5565], qb:[0.4209, 0.5565], phi:[0.4887]] | t^2.661 + 2*t^2.797 + 3*t^2.932 + t^3.203 + t^3.992 + t^4.263 + 2*t^4.398 + t^4.534 + 2*t^4.669 + 3*t^4.805 + t^5.322 + 2*t^5.458 + 4*t^5.593 + 5*t^5.729 + 5*t^5.864 - 4*t^6. - t^4.466/y - t^4.466*y | detail |