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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880 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6855 | 0.8928 | 0.7678 | [M:[0.8171, 1.1829, 0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]] | [M:[[2], [-2], [2], [-2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.049 + 2*t^2.451 + 2*t^2.524 + t^3. + 2*t^3.476 + t^3.951 + 2*t^4.024 + 4*t^4.098 + 4*t^4.5 + 4*t^4.573 + 3*t^4.902 + 4*t^4.976 + 5*t^5.049 + 2*t^5.451 + 6*t^5.524 + 2*t^5.927 + t^6. + 2*t^6.073 + 6*t^6.146 + 2*t^6.402 + 4*t^6.476 + 10*t^6.549 + 8*t^6.622 + 6*t^6.951 + 6*t^7.024 + 9*t^7.098 + 4*t^7.354 + 4*t^7.427 + 6*t^7.5 + 12*t^7.573 + 3*t^7.902 + 6*t^7.976 + 4*t^8.049 + 4*t^8.122 + 9*t^8.195 + 2*t^8.378 - 2*t^8.451 + 12*t^8.598 + 12*t^8.671 + 3*t^8.854 + 4*t^8.927 - t^4.5/y - (2*t^6.549)/y - t^6.951/y + t^7.098/y + (4*t^7.5)/y + (4*t^7.573)/y + t^7.902/y + (4*t^7.976)/y + (4*t^8.049)/y + (4*t^8.451)/y + (6*t^8.524)/y - (3*t^8.598)/y + (4*t^8.927)/y - t^4.5*y - 2*t^6.549*y - t^6.951*y + t^7.098*y + 4*t^7.5*y + 4*t^7.573*y + t^7.902*y + 4*t^7.976*y + 4*t^8.049*y + 4*t^8.451*y + 6*t^8.524*y - 3*t^8.598*y + 4*t^8.927*y | (2*t^2.049)/g1^2 + 2*g1^2*t^2.451 + (2*t^2.524)/g1 + t^3. + 2*g1*t^3.476 + g1^2*t^3.951 + (2*t^4.024)/g1 + (4*t^4.098)/g1^4 + 4*t^4.5 + (4*t^4.573)/g1^3 + 3*g1^4*t^4.902 + 4*g1*t^4.976 + (5*t^5.049)/g1^2 + 2*g1^2*t^5.451 + (6*t^5.524)/g1 + 2*g1^3*t^5.927 + t^6. + (2*t^6.073)/g1^3 + (6*t^6.146)/g1^6 + 2*g1^4*t^6.402 + 4*g1*t^6.476 + (10*t^6.549)/g1^2 + (8*t^6.622)/g1^5 + 6*g1^2*t^6.951 + (6*t^7.024)/g1 + (9*t^7.098)/g1^4 + 4*g1^6*t^7.354 + 4*g1^3*t^7.427 + 6*t^7.5 + (12*t^7.573)/g1^3 + 3*g1^4*t^7.902 + 6*g1*t^7.976 + (4*t^8.049)/g1^2 + (4*t^8.122)/g1^5 + (9*t^8.195)/g1^8 + 2*g1^5*t^8.378 - 2*g1^2*t^8.451 + (12*t^8.598)/g1^4 + (12*t^8.671)/g1^7 + 3*g1^6*t^8.854 + 4*g1^3*t^8.927 - t^4.5/y - (2*t^6.549)/(g1^2*y) - (g1^2*t^6.951)/y + t^7.098/(g1^4*y) + (4*t^7.5)/y + (4*t^7.573)/(g1^3*y) + (g1^4*t^7.902)/y + (4*g1*t^7.976)/y + (4*t^8.049)/(g1^2*y) + (4*g1^2*t^8.451)/y + (6*t^8.524)/(g1*y) - (3*t^8.598)/(g1^4*y) + (4*g1^3*t^8.927)/y - t^4.5*y - (2*t^6.549*y)/g1^2 - g1^2*t^6.951*y + (t^7.098*y)/g1^4 + 4*t^7.5*y + (4*t^7.573*y)/g1^3 + g1^4*t^7.902*y + 4*g1*t^7.976*y + (4*t^8.049*y)/g1^2 + 4*g1^2*t^8.451*y + (6*t^8.524*y)/g1 - (3*t^8.598*y)/g1^4 + 4*g1^3*t^8.927*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 |
---|---|---|---|---|---|---|---|---|
1370 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7062 | 0.9336 | 0.7565 | [M:[0.8189, 1.1811, 0.8189, 0.6811, 0.6811, 0.6811], q:[0.75, 0.4311], qb:[0.4095, 0.4095], phi:[0.5]] | 3*t^2.043 + 2*t^2.457 + 2*t^2.522 + t^3. + 2*t^3.478 + 2*t^4.022 + 7*t^4.086 + 6*t^4.5 + 6*t^4.565 + 3*t^4.914 + 4*t^4.978 + 6*t^5.043 + 2*t^5.457 + 8*t^5.522 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*y | detail | |
2048 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6994 | 0.9174 | 0.7624 | [M:[0.8254, 1.1746, 0.8254, 0.6746, 0.6746, 0.8373], q:[0.75, 0.4246], qb:[0.4127, 0.4127], phi:[0.5]] | 2*t^2.024 + 2*t^2.476 + 3*t^2.512 + t^3. + t^3.488 + t^3.976 + 2*t^4.012 + 4*t^4.048 + 4*t^4.5 + 6*t^4.536 + 3*t^4.952 + 6*t^4.988 + 8*t^5.024 + 2*t^5.476 + 5*t^5.512 - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y | detail |