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 |
---|---|---|---|---|---|---|---|---|---|
55209 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.5856 | 0.6996 | 0.8371 | [X:[1.4115], M:[1.0885, 1.0576, 0.9115, 0.5885, 1.177, 1.0], q:[0.2942, 0.6173], qb:[0.6482, 0.7942], phi:[0.4115]] | [X:[[2]], M:[[-2], [10], [2], [-2], [-4], [0]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.735 + t^3. + t^3.173 + t^3.265 + t^3.531 + t^3.796 + t^3.969 + t^4.062 + t^4.235 + t^4.327 + t^5.124 + t^5.469 - t^6. - t^6.093 + t^6.265 + t^6.346 + t^6.531 + t^6.704 + t^6.796 + 2*t^6.969 + 2*t^7.062 + t^7.327 + t^7.407 + t^7.5 + 2*t^7.593 + t^7.765 + 2*t^7.858 + t^8.111 + 2*t^8.124 + t^8.204 + t^8.296 + t^8.389 + t^8.654 - 2*t^8.735 - t^8.827 + t^8.92 - t^4.235/y + t^7.062/y - t^7.407/y + t^8.735/y + t^8.907/y - t^4.235*y + t^7.062*y - t^7.407*y + t^8.735*y + t^8.907*y | g1^2*t^2.735 + t^3. + g1^10*t^3.173 + t^3.265/g1^2 + t^3.531/g1^4 + t^3.796/g1^6 + g1^4*t^3.969 + t^4.062/g1^8 + g1^2*t^4.235 + t^4.327/g1^10 + t^5.124/g1^16 + g1^4*t^5.469 - t^6. - t^6.093/g1^12 + t^6.265/g1^2 + g1^20*t^6.346 + t^6.531/g1^4 + g1^6*t^6.704 + t^6.796/g1^6 + 2*g1^4*t^6.969 + (2*t^7.062)/g1^8 + t^7.327/g1^10 + g1^12*t^7.407 + t^7.5 + (2*t^7.593)/g1^12 + t^7.765/g1^2 + (2*t^7.858)/g1^14 + g1^18*t^8.111 + (2*t^8.124)/g1^16 + g1^6*t^8.204 + t^8.296/g1^6 + t^8.389/g1^18 + t^8.654/g1^20 - 2*g1^2*t^8.735 - t^8.827/g1^10 + t^8.92/g1^22 - (g1^2*t^4.235)/y + t^7.062/(g1^8*y) - (g1^12*t^7.407)/y + (g1^2*t^8.735)/y + (g1^12*t^8.907)/y - g1^2*t^4.235*y + (t^7.062*y)/g1^8 - g1^12*t^7.407*y + g1^2*t^8.735*y + g1^12*t^8.907*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 |
---|---|---|---|---|---|---|---|---|
56865 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{7}$ | 0.5939 | 0.7132 | 0.8328 | [X:[1.4083], M:[1.0917, 1.0415, 0.9083, 0.5917, 1.1834, 1.0, 0.9083], q:[0.2958, 0.6125], qb:[0.6626, 0.7958], phi:[0.4083]] | 2*t^2.725 + t^3. + t^3.125 + t^3.55 + t^3.825 + t^3.95 + t^4.1 + t^4.225 + t^4.375 + t^5.201 + 3*t^5.45 + t^5.725 + t^5.849 - 2*t^6. - t^4.225/y - t^4.225*y | detail | |
56864 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{7}$ | 0.5943 | 0.7181 | 0.8276 | [X:[1.4259], M:[1.0741, 1.1293, 0.9259, 0.5741, 1.1483, 1.0, 0.8707], q:[0.2871, 0.6388], qb:[0.5836, 0.7871], phi:[0.4259]] | t^2.612 + t^2.778 + t^3. + t^3.222 + t^3.445 + t^3.667 + t^3.89 + t^4.055 + t^4.112 + t^4.278 + t^4.779 + t^5.224 + t^5.39 + t^5.555 + t^5.612 - t^6. - t^4.278/y - t^4.278*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 |
---|---|---|---|---|---|---|---|---|---|
47003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail |