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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1785 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6988 | 0.8648 | 0.8081 | [M:[1.0516, 0.9484, 0.9484, 0.9484, 0.9484], q:[0.5258, 0.4226], qb:[0.5258, 0.5258], phi:[0.5]] | [M:[[0, 2], [0, -2], [1, 1], [0, -2], [1, 1]], q:[[-1, -2], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}$ | -10 | 6*t^2.845 + t^3. + t^4.036 + 3*t^4.345 + 6*t^4.655 + 18*t^5.691 + 6*t^5.845 - 10*t^6. - 3*t^6.309 + 6*t^6.881 + 12*t^7.191 + 18*t^7.5 - 6*t^7.809 + t^8.072 + 3*t^8.381 + 38*t^8.536 + 24*t^8.691 - 48*t^8.845 - t^4.5/y - (3*t^7.345)/y + (3*t^7.655)/y + (15*t^8.691)/y + (6*t^8.845)/y - t^4.5*y - 3*t^7.345*y + 3*t^7.655*y + 15*t^8.691*y + 6*t^8.845*y | (2*t^2.845)/g2^2 + 4*g1*g2*t^2.845 + t^3. + g1^2*t^4.036 + t^4.345/g2^2 + 2*g1*g2*t^4.345 + t^4.655/(g1^2*g2^4) + (2*t^4.655)/(g1*g2) + 3*g2^2*t^4.655 + (3*t^5.691)/g2^4 + (6*g1*t^5.691)/g2 + 9*g1^2*g2^2*t^5.691 + (2*t^5.845)/g2^2 + 4*g1*g2*t^5.845 - 6*t^6. - (2*t^6.)/(g1*g2^3) - 2*g1*g2^3*t^6. - t^6.309/(g1^2*g2^2) - (2*g2*t^6.309)/g1 + (2*g1^2*t^6.881)/g2^2 + 4*g1^3*g2*t^6.881 + (2*t^7.191)/g2^4 + (4*g1*t^7.191)/g2 + 6*g1^2*g2^2*t^7.191 + 4*t^7.5 + (2*t^7.5)/(g1^2*g2^6) + (4*t^7.5)/(g1*g2^3) + 8*g1*g2^3*t^7.5 - (2*t^7.809)/(g1^2*g2^2) - (4*g2*t^7.809)/g1 + g1^4*t^8.072 + (g1^2*t^8.381)/g2^2 + 2*g1^3*g2*t^8.381 + 10*g1^2*t^8.536 + (4*t^8.536)/g2^6 + (8*g1*t^8.536)/g2^3 + 16*g1^3*g2^3*t^8.536 + (4*t^8.691)/g2^4 + (8*g1*t^8.691)/g2 + 12*g1^2*g2^2*t^8.691 - (4*t^8.845)/(g1*g2^5) - (14*t^8.845)/g2^2 - 24*g1*g2*t^8.845 - 6*g1^2*g2^4*t^8.845 - t^4.5/y - t^7.345/(g2^2*y) - (2*g1*g2*t^7.345)/y + (2*t^7.655)/(g1*g2*y) + (g2^2*t^7.655)/y + t^8.691/(g2^4*y) + (8*g1*t^8.691)/(g2*y) + (6*g1^2*g2^2*t^8.691)/y + (2*t^8.845)/(g2^2*y) + (4*g1*g2*t^8.845)/y - t^4.5*y - (t^7.345*y)/g2^2 - 2*g1*g2*t^7.345*y + (2*t^7.655*y)/(g1*g2) + g2^2*t^7.655*y + (t^8.691*y)/g2^4 + (8*g1*t^8.691*y)/g2 + 6*g1^2*g2^2*t^8.691*y + (2*t^8.845*y)/g2^2 + 4*g1*g2*t^8.845*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 |
---|---|---|---|---|---|---|---|---|---|
361 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6952 | 0.8564 | 0.8117 | [M:[1.0534, 0.9466, 0.9738, 0.9466], q:[0.4995, 0.4471], qb:[0.5267, 0.5267], phi:[0.5]] | 2*t^2.84 + 3*t^2.921 + t^3. + t^3.079 + t^4.182 + t^4.34 + 2*t^4.421 + t^4.497 + 2*t^4.579 + 3*t^4.66 + 3*t^5.679 + 4*t^5.761 + 2*t^5.84 + 5*t^5.843 + 3*t^5.921 - 3*t^6. - t^4.5/y - t^4.5*y | detail |