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 |
---|---|---|---|---|---|---|---|---|---|
946 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6971 | 0.8526 | 0.8176 | [M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 0.5721], phi:[0.488]] | [M:[[0], [-4], [0], [-4], [4]], q:[[2], [-2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{2}M_{5}$ | -1 | 2*t^2.856 + t^2.928 + 2*t^3. + t^3.144 + t^3.288 + 3*t^4.32 + 2*t^4.464 + 3*t^4.608 + t^4.752 + t^4.896 + t^5.712 + 2*t^5.784 + 2*t^5.856 + 2*t^5.928 - t^6. + t^6.072 + t^6.216 + t^6.288 + t^6.432 + t^6.577 + 4*t^7.176 + 3*t^7.248 + 5*t^7.32 - t^7.392 + 5*t^7.464 + t^7.536 + 5*t^7.608 - 2*t^7.68 + 4*t^7.752 + 4*t^7.896 - t^7.968 + 2*t^8.041 + t^8.185 + t^8.568 + 6*t^8.64 + 6*t^8.784 - 5*t^8.856 + 6*t^8.928 - t^4.464/y - t^7.32/y - t^7.392/y + t^7.536/y + t^7.608/y + t^8.712/y + (2*t^8.784)/y + (4*t^8.856)/y + (2*t^8.928)/y - t^4.464*y - t^7.32*y - t^7.392*y + t^7.536*y + t^7.608*y + t^8.712*y + 2*t^8.784*y + 4*t^8.856*y + 2*t^8.928*y | (2*t^2.856)/g1^4 + t^2.928/g1^2 + 2*t^3. + g1^4*t^3.144 + g1^8*t^3.288 + (3*t^4.32)/g1^5 + (2*t^4.464)/g1 + 3*g1^3*t^4.608 + g1^7*t^4.752 + g1^11*t^4.896 + t^5.712/g1^8 + (2*t^5.784)/g1^6 + (2*t^5.856)/g1^4 + (2*t^5.928)/g1^2 - t^6. + g1^2*t^6.072 + g1^6*t^6.216 + g1^8*t^6.288 + g1^12*t^6.432 + g1^16*t^6.577 + (4*t^7.176)/g1^9 + (3*t^7.248)/g1^7 + (5*t^7.32)/g1^5 - t^7.392/g1^3 + (5*t^7.464)/g1 + g1*t^7.536 + 5*g1^3*t^7.608 - 2*g1^5*t^7.68 + 4*g1^7*t^7.752 + 4*g1^11*t^7.896 - g1^13*t^7.968 + 2*g1^15*t^8.041 + g1^19*t^8.185 + t^8.568/g1^12 + (6*t^8.64)/g1^10 + (6*t^8.784)/g1^6 - (5*t^8.856)/g1^4 + (6*t^8.928)/g1^2 - t^4.464/(g1*y) - t^7.32/(g1^5*y) - t^7.392/(g1^3*y) + (g1*t^7.536)/y + (g1^3*t^7.608)/y + t^8.712/(g1^8*y) + (2*t^8.784)/(g1^6*y) + (4*t^8.856)/(g1^4*y) + (2*t^8.928)/(g1^2*y) - (t^4.464*y)/g1 - (t^7.32*y)/g1^5 - (t^7.392*y)/g1^3 + g1*t^7.536*y + g1^3*t^7.608*y + (t^8.712*y)/g1^8 + (2*t^8.784*y)/g1^6 + (4*t^8.856*y)/g1^4 + (2*t^8.928*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1459 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7024 | 0.8618 | 0.815 | [M:[1.0, 0.9328, 1.0, 0.9328, 1.0672, 0.9328], q:[0.5336, 0.4664], qb:[0.4664, 0.6008], phi:[0.4832]] | 3*t^2.798 + t^2.899 + 2*t^3. + t^3.403 + 3*t^4.248 + 2*t^4.45 + 3*t^4.651 + t^4.853 + t^5.055 + 4*t^5.597 + 3*t^5.697 + 4*t^5.798 + 2*t^5.899 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
598 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ | 0.7203 | 0.8855 | 0.8134 | [M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.451 + t^2.521 + t^2.76 + t^2.931 + t^3. + t^3.069 + t^3.41 + t^3.901 + t^4.311 + t^4.38 + t^4.449 + t^4.721 + t^4.79 + 2*t^4.859 + t^4.903 + t^4.929 + t^4.972 + t^4.998 + t^5.041 + t^5.212 + t^5.281 + t^5.382 + t^5.451 + 2*t^5.521 + t^5.691 + t^5.76 + t^5.83 + t^5.861 - 2*t^6. - t^4.38/y - t^4.38*y | detail |