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 |
---|---|---|---|---|---|---|---|---|---|
50810 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6996 | 0.86 | 0.8135 | [M:[1.0188, 0.9061, 0.9437, 1.0563, 0.9437, 1.0188], q:[0.5469, 0.4343], qb:[0.5469, 0.5094], phi:[0.4906]] | [M:[[2], [-10], [-6], [6], [-6], [2]], q:[[5], [-7]], qb:[[5], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.718 + 2*t^2.831 + t^2.944 + 2*t^3.056 + t^3.169 + t^4.078 + t^4.303 + 2*t^4.416 + t^4.528 + 2*t^4.641 + 3*t^4.753 + t^5.437 + 2*t^5.549 + 2*t^5.662 + 3*t^5.775 + 4*t^5.887 - 2*t^6. + t^6.113 + t^6.225 - t^6.338 + t^6.796 + 2*t^6.909 + 2*t^7.021 + 3*t^7.134 + 4*t^7.247 + 4*t^7.359 + 4*t^7.472 + 4*t^7.584 + 3*t^7.697 + 2*t^7.81 + t^7.922 + 2*t^8.155 + 2*t^8.268 + 3*t^8.38 + 5*t^8.493 + 4*t^8.606 + 2*t^8.718 - t^8.944 - t^4.472/y - t^7.19/y - t^7.303/y + t^7.416/y - t^7.528/y + t^7.641/y + t^7.753/y + (2*t^8.549)/y + (2*t^8.662)/y + (4*t^8.775)/y + (5*t^8.887)/y - t^4.472*y - t^7.19*y - t^7.303*y + t^7.416*y - t^7.528*y + t^7.641*y + t^7.753*y + 2*t^8.549*y + 2*t^8.662*y + 4*t^8.775*y + 5*t^8.887*y | t^2.718/g1^10 + (2*t^2.831)/g1^6 + t^2.944/g1^2 + 2*g1^2*t^3.056 + g1^6*t^3.169 + t^4.078/g1^15 + t^4.303/g1^7 + (2*t^4.416)/g1^3 + g1*t^4.528 + 2*g1^5*t^4.641 + 3*g1^9*t^4.753 + t^5.437/g1^20 + (2*t^5.549)/g1^16 + (2*t^5.662)/g1^12 + (3*t^5.775)/g1^8 + (4*t^5.887)/g1^4 - 2*t^6. + g1^4*t^6.113 + g1^8*t^6.225 - g1^12*t^6.338 + t^6.796/g1^25 + (2*t^6.909)/g1^21 + (2*t^7.021)/g1^17 + (3*t^7.134)/g1^13 + (4*t^7.247)/g1^9 + (4*t^7.359)/g1^5 + (4*t^7.472)/g1 + 4*g1^3*t^7.584 + 3*g1^7*t^7.697 + 2*g1^11*t^7.81 + g1^15*t^7.922 + (2*t^8.155)/g1^30 + (2*t^8.268)/g1^26 + (3*t^8.38)/g1^22 + (5*t^8.493)/g1^18 + (4*t^8.606)/g1^14 + (2*t^8.718)/g1^10 - t^8.944/g1^2 - t^4.472/(g1*y) - t^7.19/(g1^11*y) - t^7.303/(g1^7*y) + t^7.416/(g1^3*y) - (g1*t^7.528)/y + (g1^5*t^7.641)/y + (g1^9*t^7.753)/y + (2*t^8.549)/(g1^16*y) + (2*t^8.662)/(g1^12*y) + (4*t^8.775)/(g1^8*y) + (5*t^8.887)/(g1^4*y) - (t^4.472*y)/g1 - (t^7.19*y)/g1^11 - (t^7.303*y)/g1^7 + (t^7.416*y)/g1^3 - g1*t^7.528*y + g1^5*t^7.641*y + g1^9*t^7.753*y + (2*t^8.549*y)/g1^16 + (2*t^8.662*y)/g1^12 + (4*t^8.775*y)/g1^8 + (5*t^8.887*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 |
---|---|---|---|---|---|---|---|---|
56038 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6952 | 0.8518 | 0.8161 | [M:[1.0129, 0.9354, 0.9612, 1.0388, 0.9612, 1.0129, 1.0388], q:[0.5323, 0.4548], qb:[0.5323, 0.5065], phi:[0.4935]] | t^2.806 + t^2.884 + t^2.961 + 2*t^3.039 + 2*t^3.116 + t^4.209 + t^4.364 + 2*t^4.442 + t^4.519 + 2*t^4.597 + 3*t^4.675 + t^5.612 + t^5.69 + 2*t^5.845 + 3*t^5.922 - 2*t^6. - t^4.481/y - t^4.481*y | detail | |
56039 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6979 | 0.8568 | 0.8146 | [M:[1.0168, 0.9159, 0.9495, 1.0505, 0.9495, 1.0168, 1.0168], q:[0.5421, 0.4411], qb:[0.5421, 0.5084], phi:[0.4916]] | t^2.748 + 2*t^2.849 + 3*t^3.05 + t^3.151 + t^4.121 + t^4.323 + 2*t^4.424 + t^4.525 + 2*t^4.626 + 3*t^4.727 + t^5.495 + 2*t^5.596 + t^5.697 + 2*t^5.798 + 5*t^5.899 - 4*t^6. - t^4.475/y - t^4.475*y | detail | |
56040 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7056 | 0.8717 | 0.8095 | [M:[1.0242, 0.8789, 0.9273, 1.0727, 0.9273, 1.0242, 0.9273], q:[0.5606, 0.4152], qb:[0.5606, 0.5121], phi:[0.4879]] | t^2.637 + 3*t^2.782 + t^2.927 + 2*t^3.073 + t^3.955 + t^4.246 + 2*t^4.391 + t^4.536 + 2*t^4.682 + 3*t^4.827 + t^5.273 + 3*t^5.419 + 5*t^5.564 + 4*t^5.709 + 5*t^5.855 - 4*t^6. - t^4.464/y - t^4.464*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 |
---|---|---|---|---|---|---|---|---|---|
48100 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.7014 | 0.8635 | 0.8123 | [M:[1.0207, 0.8965, 0.9379, 1.0621, 0.9379], q:[0.5517, 0.4276], qb:[0.5517, 0.5103], phi:[0.4897]] | t^2.69 + 2*t^2.814 + 2*t^2.938 + t^3.062 + t^3.186 + t^4.034 + t^4.283 + 2*t^4.407 + t^4.531 + 2*t^4.655 + 3*t^4.779 + t^5.379 + 2*t^5.503 + 3*t^5.627 + 4*t^5.752 + 4*t^5.876 - 2*t^6. - t^4.469/y - t^4.469*y | detail |