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 |
---|---|---|---|---|---|---|---|---|---|
46694 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7205 | 0.9585 | 0.7517 | [M:[0.827, 0.827, 0.673, 0.673, 0.692], q:[0.75, 0.423], qb:[0.423, 0.404], phi:[0.5]] | [M:[[1, 1], [-1, 0], [1, 0], [-1, -1], [0, -2]], 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 |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -4 | 2*t^2.019 + t^2.076 + 4*t^2.481 + t^2.538 + t^3. + t^3.462 + 6*t^4.038 + 2*t^4.095 + t^4.152 + 8*t^4.5 + 6*t^4.557 + t^4.614 + 10*t^4.962 + 6*t^5.019 + 2*t^5.076 + 6*t^5.481 + 2*t^5.538 + 2*t^5.943 - 4*t^6. + 8*t^6.057 + 6*t^6.114 + 2*t^6.171 + t^6.228 - t^6.462 + 20*t^6.519 + 14*t^6.576 + 6*t^6.633 + t^6.69 + 16*t^6.981 + 20*t^7.038 + 8*t^7.095 + 2*t^7.152 + 16*t^7.443 + 16*t^7.5 + 8*t^7.557 + 3*t^7.614 + 10*t^7.962 - 6*t^8.019 + 12*t^8.076 + 8*t^8.133 + 6*t^8.19 + 2*t^8.247 + t^8.304 + 2*t^8.424 - 20*t^8.481 + 19*t^8.538 + 28*t^8.595 + 14*t^8.652 + 6*t^8.709 + t^8.766 - 6*t^8.943 - t^4.5/y - (2*t^6.519)/y - t^6.576/y - (2*t^6.981)/y + t^7.038/y + (2*t^7.095)/y + (8*t^7.5)/y + (6*t^7.557)/y + t^7.614/y + (6*t^7.962)/y + (8*t^8.019)/y + t^8.076/y + t^8.424/y + (8*t^8.481)/y - t^8.538/y - (2*t^8.595)/y - t^8.652/y + (4*t^8.943)/y - t^4.5*y - 2*t^6.519*y - t^6.576*y - 2*t^6.981*y + t^7.038*y + 2*t^7.095*y + 8*t^7.5*y + 6*t^7.557*y + t^7.614*y + 6*t^7.962*y + 8*t^8.019*y + t^8.076*y + t^8.424*y + 8*t^8.481*y - t^8.538*y - 2*t^8.595*y - t^8.652*y + 4*t^8.943*y | g1*t^2.019 + t^2.019/(g1*g2) + t^2.076/g2^2 + (2*t^2.481)/g1 + 2*g1*g2*t^2.481 + t^2.538/g2 + t^3. + g2*t^3.462 + 2*g1^2*t^4.038 + (2*t^4.038)/(g1^2*g2^2) + (2*t^4.038)/g2 + t^4.095/(g1*g2^3) + (g1*t^4.095)/g2^2 + t^4.152/g2^4 + 4*t^4.5 + (2*t^4.5)/(g1^2*g2) + 2*g1^2*g2*t^4.5 + (3*t^4.557)/(g1*g2^2) + (3*g1*t^4.557)/g2 + t^4.614/g2^3 + (3*t^4.962)/g1^2 + 4*g2*t^4.962 + 3*g1^2*g2^2*t^4.962 + 3*g1*t^5.019 + (3*t^5.019)/(g1*g2) + (2*t^5.076)/g2^2 + (3*t^5.481)/g1 + 3*g1*g2*t^5.481 + (2*t^5.538)/g2 + (g2*t^5.943)/g1 + g1*g2^2*t^5.943 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + 2*g1^3*t^6.057 + (2*t^6.057)/(g1^3*g2^3) + (2*t^6.057)/(g1*g2^2) + (2*g1*t^6.057)/g2 + (2*t^6.114)/(g1^2*g2^4) + (2*t^6.114)/g2^3 + (2*g1^2*t^6.114)/g2^2 + t^6.171/(g1*g2^5) + (g1*t^6.171)/g2^4 + t^6.228/g2^6 - g2*t^6.462 + 6*g1*t^6.519 + (4*t^6.519)/(g1^3*g2^2) + (6*t^6.519)/(g1*g2) + 4*g1^3*g2*t^6.519 + (4*t^6.576)/(g1^2*g2^3) + (6*t^6.576)/g2^2 + (4*g1^2*t^6.576)/g2 + (3*t^6.633)/(g1*g2^4) + (3*g1*t^6.633)/g2^3 + t^6.69/g2^5 + (5*t^6.981)/g1 + (3*t^6.981)/(g1^3*g2) + 5*g1*g2*t^6.981 + 3*g1^3*g2^2*t^6.981 + 6*g1^2*t^7.038 + (6*t^7.038)/(g1^2*g2^2) + (8*t^7.038)/g2 + (4*t^7.095)/(g1*g2^3) + (4*g1*t^7.095)/g2^2 + (2*t^7.152)/g2^4 + (4*t^7.443)/g1^3 + (4*g2*t^7.443)/g1 + 4*g1*g2^2*t^7.443 + 4*g1^3*g2^3*t^7.443 + 6*t^7.5 + (5*t^7.5)/(g1^2*g2) + 5*g1^2*g2*t^7.5 + (4*t^7.557)/(g1*g2^2) + (4*g1*t^7.557)/g2 + (3*t^7.614)/g2^3 + (3*t^7.962)/g1^2 + 4*g2*t^7.962 + 3*g1^2*g2^2*t^7.962 - 2*g1*t^8.019 - t^8.019/(g1^3*g2^2) - (2*t^8.019)/(g1*g2) - g1^3*g2*t^8.019 + 3*g1^4*t^8.076 + (3*t^8.076)/(g1^4*g2^4) + (2*t^8.076)/(g1^2*g2^3) + (2*t^8.076)/g2^2 + (2*g1^2*t^8.076)/g2 + (2*t^8.133)/(g1^3*g2^5) + (2*t^8.133)/(g1*g2^4) + (2*g1*t^8.133)/g2^3 + (2*g1^3*t^8.133)/g2^2 + (2*t^8.19)/(g1^2*g2^6) + (2*t^8.19)/g2^5 + (2*g1^2*t^8.19)/g2^4 + t^8.247/(g1*g2^7) + (g1*t^8.247)/g2^6 + t^8.304/g2^8 + (g2*t^8.424)/g1^2 + g1^2*g2^3*t^8.424 - (8*t^8.481)/g1 - (2*t^8.481)/(g1^3*g2) - 8*g1*g2*t^8.481 - 2*g1^3*g2^2*t^8.481 + 5*g1^2*t^8.538 + (4*t^8.538)/(g1^4*g2^3) + (5*t^8.538)/(g1^2*g2^2) + t^8.538/g2 + 4*g1^4*g2*t^8.538 + (6*t^8.595)/(g1^3*g2^4) + (8*t^8.595)/(g1*g2^3) + (8*g1*t^8.595)/g2^2 + (6*g1^3*t^8.595)/g2 + (4*t^8.652)/(g1^2*g2^5) + (6*t^8.652)/g2^4 + (4*g1^2*t^8.652)/g2^3 + (3*t^8.709)/(g1*g2^6) + (3*g1*t^8.709)/g2^5 + t^8.766/g2^7 - (3*g2*t^8.943)/g1 - 3*g1*g2^2*t^8.943 - t^4.5/y - (g1*t^6.519)/y - t^6.519/(g1*g2*y) - t^6.576/(g2^2*y) - t^6.981/(g1*y) - (g1*g2*t^6.981)/y + t^7.038/(g2*y) + t^7.095/(g1*g2^3*y) + (g1*t^7.095)/(g2^2*y) + (4*t^7.5)/y + (2*t^7.5)/(g1^2*g2*y) + (2*g1^2*g2*t^7.5)/y + (3*t^7.557)/(g1*g2^2*y) + (3*g1*t^7.557)/(g2*y) + t^7.614/(g2^3*y) + t^7.962/(g1^2*y) + (4*g2*t^7.962)/y + (g1^2*g2^2*t^7.962)/y + (4*g1*t^8.019)/y + (4*t^8.019)/(g1*g2*y) + t^8.076/(g2^2*y) + (g2^2*t^8.424)/y + (4*t^8.481)/(g1*y) + (4*g1*g2*t^8.481)/y - (g1^2*t^8.538)/y - t^8.538/(g1^2*g2^2*y) + t^8.538/(g2*y) - t^8.595/(g1*g2^3*y) - (g1*t^8.595)/(g2^2*y) - t^8.652/(g2^4*y) + (2*g2*t^8.943)/(g1*y) + (2*g1*g2^2*t^8.943)/y - t^4.5*y - g1*t^6.519*y - (t^6.519*y)/(g1*g2) - (t^6.576*y)/g2^2 - (t^6.981*y)/g1 - g1*g2*t^6.981*y + (t^7.038*y)/g2 + (t^7.095*y)/(g1*g2^3) + (g1*t^7.095*y)/g2^2 + 4*t^7.5*y + (2*t^7.5*y)/(g1^2*g2) + 2*g1^2*g2*t^7.5*y + (3*t^7.557*y)/(g1*g2^2) + (3*g1*t^7.557*y)/g2 + (t^7.614*y)/g2^3 + (t^7.962*y)/g1^2 + 4*g2*t^7.962*y + g1^2*g2^2*t^7.962*y + 4*g1*t^8.019*y + (4*t^8.019*y)/(g1*g2) + (t^8.076*y)/g2^2 + g2^2*t^8.424*y + (4*t^8.481*y)/g1 + 4*g1*g2*t^8.481*y - g1^2*t^8.538*y - (t^8.538*y)/(g1^2*g2^2) + (t^8.538*y)/g2 - (t^8.595*y)/(g1*g2^3) - (g1*t^8.595*y)/g2^2 - (t^8.652*y)/g2^4 + (2*g2*t^8.943*y)/g1 + 2*g1*g2^2*t^8.943*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 |
---|---|---|---|---|---|---|---|---|
47072 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7076 | 0.9351 | 0.7567 | [M:[0.8199, 0.8199, 0.6801, 0.6801, 0.7206, 1.1397], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]] | 2*t^2.04 + t^2.162 + 4*t^2.46 + t^3. + 2*t^3.419 + 6*t^4.081 + 2*t^4.202 + t^4.323 + 8*t^4.5 + 4*t^4.621 + 10*t^4.919 + 2*t^5.04 + t^5.162 + 8*t^5.46 + 2*t^5.581 + 6*t^5.879 - 5*t^6. - 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 |
---|---|---|---|---|---|---|---|---|---|
46341 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6999 | 0.9187 | 0.7619 | [M:[0.823, 0.823, 0.677, 0.677], q:[0.75, 0.427], qb:[0.427, 0.396], phi:[0.5]] | 2*t^2.031 + 4*t^2.469 + t^2.562 + t^3. + t^3.438 + t^3.876 + 6*t^4.062 + 8*t^4.5 + 2*t^4.593 + 10*t^4.938 + 6*t^5.031 + t^5.124 + 6*t^5.469 + t^5.562 + 4*t^5.907 - 4*t^6. - t^4.5/y - t^4.5*y | detail |