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 |
---|---|---|---|---|---|---|---|---|---|
884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 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]] | [M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [0, -2], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | 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. + 4*t^6.065 + 13*t^6.13 + 2*t^6.478 + 16*t^6.543 + 14*t^6.608 + 8*t^6.957 + 10*t^7.022 + 15*t^7.086 + 4*t^7.37 + 2*t^7.435 + 8*t^7.5 + 20*t^7.565 + 2*t^7.914 + 6*t^7.978 - t^8.043 + 8*t^8.108 + 22*t^8.173 + 2*t^8.392 - 6*t^8.457 - 2*t^8.522 + 28*t^8.586 + 26*t^8.651 - t^4.5/y - (3*t^6.543)/y - t^6.957/y + (3*t^7.086)/y + (6*t^7.5)/y + (6*t^7.565)/y + t^7.914/y + (4*t^7.978)/y + (5*t^8.043)/y + (5*t^8.457)/y + (8*t^8.522)/y - (6*t^8.586)/y + (4*t^8.935)/y - t^4.5*y - 3*t^6.543*y - t^6.957*y + 3*t^7.086*y + 6*t^7.5*y + 6*t^7.565*y + t^7.914*y + 4*t^7.978*y + 5*t^8.043*y + 5*t^8.457*y + 8*t^8.522*y - 6*t^8.586*y + 4*t^8.935*y | t^2.043/g1^2 + t^2.043/g2^2 + t^2.043/(g1*g2) + 2*g1*g2*t^2.457 + t^2.522/g1 + t^2.522/g2 + t^3. + g1*t^3.478 + g2*t^3.478 + t^4.022/g1 + t^4.022/g2 + t^4.086/g1^4 + t^4.086/g2^4 + t^4.086/(g1*g2^3) + (3*t^4.086)/(g1^2*g2^2) + t^4.086/(g1^3*g2) + 2*t^4.5 + (2*g1*t^4.5)/g2 + (2*g2*t^4.5)/g1 + t^4.565/g1^3 + t^4.565/g2^3 + (2*t^4.565)/(g1*g2^2) + (2*t^4.565)/(g1^2*g2) + 3*g1^2*g2^2*t^4.914 + 2*g1*t^4.978 + 2*g2*t^4.978 + (2*t^5.043)/g1^2 + (2*t^5.043)/g2^2 + (2*t^5.043)/(g1*g2) + 2*g1*g2*t^5.457 + (3*t^5.522)/g1 + (g1*t^5.522)/g2^2 + (3*t^5.522)/g2 + (g2*t^5.522)/g1^2 + g1^2*g2*t^5.935 + g1*g2^2*t^5.935 - t^6. + t^6.065/g1^3 + t^6.065/g2^3 + t^6.065/(g1*g2^2) + t^6.065/(g1^2*g2) + t^6.13/g1^6 + t^6.13/g2^6 + t^6.13/(g1*g2^5) + (3*t^6.13)/(g1^2*g2^4) + (3*t^6.13)/(g1^3*g2^3) + (3*t^6.13)/(g1^4*g2^2) + t^6.13/(g1^5*g2) + g1*t^6.478 + g2*t^6.478 + (3*t^6.543)/g1^2 + (2*g1*t^6.543)/g2^3 + (3*t^6.543)/g2^2 + (6*t^6.543)/(g1*g2) + (2*g2*t^6.543)/g1^3 + t^6.608/g1^5 + t^6.608/g2^5 + (2*t^6.608)/(g1*g2^4) + (4*t^6.608)/(g1^2*g2^3) + (4*t^6.608)/(g1^3*g2^2) + (2*t^6.608)/(g1^4*g2) + 3*g1^2*t^6.957 + 2*g1*g2*t^6.957 + 3*g2^2*t^6.957 + (3*t^7.022)/g1 + (2*g1*t^7.022)/g2^2 + (3*t^7.022)/g2 + (2*g2*t^7.022)/g1^2 + (2*t^7.086)/g1^4 + (2*t^7.086)/g2^4 + (3*t^7.086)/(g1*g2^3) + (5*t^7.086)/(g1^2*g2^2) + (3*t^7.086)/(g1^3*g2) + 4*g1^3*g2^3*t^7.37 + g1^2*g2*t^7.435 + g1*g2^2*t^7.435 + 2*t^7.5 + (3*g1*t^7.5)/g2 + (3*g2*t^7.5)/g1 + (4*t^7.565)/g1^3 + (g1*t^7.565)/g2^4 + (4*t^7.565)/g2^3 + (5*t^7.565)/(g1*g2^2) + (5*t^7.565)/(g1^2*g2) + (g2*t^7.565)/g1^4 + 2*g1^2*g2^2*t^7.914 + 2*g1*t^7.978 + (g1^2*t^7.978)/g2 + 2*g2*t^7.978 + (g2^2*t^7.978)/g1 - t^8.043/(g1*g2) + t^8.108/g1^5 + t^8.108/g2^5 + t^8.108/(g1*g2^4) + (2*t^8.108)/(g1^2*g2^3) + (2*t^8.108)/(g1^3*g2^2) + t^8.108/(g1^4*g2) + t^8.173/g1^8 + t^8.173/g2^8 + t^8.173/(g1*g2^7) + (3*t^8.173)/(g1^2*g2^6) + (3*t^8.173)/(g1^3*g2^5) + (6*t^8.173)/(g1^4*g2^4) + (3*t^8.173)/(g1^5*g2^3) + (3*t^8.173)/(g1^6*g2^2) + t^8.173/(g1^7*g2) + g1^3*g2^2*t^8.392 + g1^2*g2^3*t^8.392 - g1^2*t^8.457 - 4*g1*g2*t^8.457 - g2^2*t^8.457 - (2*t^8.522)/g1 + (g1*t^8.522)/g2^2 - (2*t^8.522)/g2 + (g2*t^8.522)/g1^2 + (3*t^8.586)/g1^4 + (2*g1*t^8.586)/g2^5 + (3*t^8.586)/g2^4 + (6*t^8.586)/(g1*g2^3) + (6*t^8.586)/(g1^2*g2^2) + (6*t^8.586)/(g1^3*g2) + (2*g2*t^8.586)/g1^5 + t^8.651/g1^7 + t^8.651/g2^7 + (2*t^8.651)/(g1*g2^6) + (4*t^8.651)/(g1^2*g2^5) + (6*t^8.651)/(g1^3*g2^4) + (6*t^8.651)/(g1^4*g2^3) + (4*t^8.651)/(g1^5*g2^2) + (2*t^8.651)/(g1^6*g2) - t^4.5/y - t^6.543/(g1^2*y) - t^6.543/(g2^2*y) - t^6.543/(g1*g2*y) - (g1*g2*t^6.957)/y + t^7.086/(g1*g2^3*y) + t^7.086/(g1^2*g2^2*y) + t^7.086/(g1^3*g2*y) + (2*t^7.5)/y + (2*g1*t^7.5)/(g2*y) + (2*g2*t^7.5)/(g1*y) + t^7.565/(g1^3*y) + t^7.565/(g2^3*y) + (2*t^7.565)/(g1*g2^2*y) + (2*t^7.565)/(g1^2*g2*y) + (g1^2*g2^2*t^7.914)/y + (2*g1*t^7.978)/y + (2*g2*t^7.978)/y + t^8.043/(g1^2*y) + t^8.043/(g2^2*y) + (3*t^8.043)/(g1*g2*y) + (g1^2*t^8.457)/y + (3*g1*g2*t^8.457)/y + (g2^2*t^8.457)/y + (3*t^8.522)/(g1*y) + (g1*t^8.522)/(g2^2*y) + (3*t^8.522)/(g2*y) + (g2*t^8.522)/(g1^2*y) - t^8.586/(g1^4*y) - t^8.586/(g2^4*y) - t^8.586/(g1*g2^3*y) - (2*t^8.586)/(g1^2*g2^2*y) - t^8.586/(g1^3*g2*y) + (2*g1^2*g2*t^8.935)/y + (2*g1*g2^2*t^8.935)/y - t^4.5*y - (t^6.543*y)/g1^2 - (t^6.543*y)/g2^2 - (t^6.543*y)/(g1*g2) - g1*g2*t^6.957*y + (t^7.086*y)/(g1*g2^3) + (t^7.086*y)/(g1^2*g2^2) + (t^7.086*y)/(g1^3*g2) + 2*t^7.5*y + (2*g1*t^7.5*y)/g2 + (2*g2*t^7.5*y)/g1 + (t^7.565*y)/g1^3 + (t^7.565*y)/g2^3 + (2*t^7.565*y)/(g1*g2^2) + (2*t^7.565*y)/(g1^2*g2) + g1^2*g2^2*t^7.914*y + 2*g1*t^7.978*y + 2*g2*t^7.978*y + (t^8.043*y)/g1^2 + (t^8.043*y)/g2^2 + (3*t^8.043*y)/(g1*g2) + g1^2*t^8.457*y + 3*g1*g2*t^8.457*y + g2^2*t^8.457*y + (3*t^8.522*y)/g1 + (g1*t^8.522*y)/g2^2 + (3*t^8.522*y)/g2 + (g2*t^8.522*y)/g1^2 - (t^8.586*y)/g1^4 - (t^8.586*y)/g2^4 - (t^8.586*y)/(g1*g2^3) - (2*t^8.586*y)/(g1^2*g2^2) - (t^8.586*y)/(g1^3*g2) + 2*g1^2*g2*t^8.935*y + 2*g1*g2^2*t^8.935*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
568 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 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]] | 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. - t^4.5/y - t^4.5*y | detail |