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 |
---|---|---|---|---|---|---|---|---|---|
46884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6165 | 0.7522 | 0.8196 | [M:[1.1712, 0.7328, 0.8288, 0.8288, 1.2192], q:[0.4144, 0.4144], qb:[0.8528, 0.7568], phi:[0.3904]] | [M:[[6], [14], [-6], [-6], [-4]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -2 | t^2.198 + 2*t^2.486 + t^3.514 + 4*t^3.658 + t^3.802 + t^4.397 + 2*t^4.685 + t^4.829 + 3*t^4.973 + t^5.712 + 2*t^5.856 - 2*t^6. + 6*t^6.144 + 2*t^6.288 + t^6.595 + 2*t^6.883 + t^7.171 + 6*t^7.315 + 6*t^7.459 + t^7.603 + t^7.911 + 2*t^8.055 - 2*t^8.198 + 2*t^8.342 - 5*t^8.486 + 7*t^8.63 + 3*t^8.774 + t^8.794 - t^4.171/y - t^6.37/y - t^6.658/y + (3*t^7.685)/y + (2*t^7.973)/y - t^8.568/y + t^8.712/y + (3*t^8.856)/y - t^4.171*y - t^6.37*y - t^6.658*y + 3*t^7.685*y + 2*t^7.973*y - t^8.568*y + t^8.712*y + 3*t^8.856*y | g1^14*t^2.198 + (2*t^2.486)/g1^6 + g1^6*t^3.514 + (4*t^3.658)/g1^4 + t^3.802/g1^14 + g1^28*t^4.397 + 2*g1^8*t^4.685 + t^4.829/g1^2 + (3*t^4.973)/g1^12 + g1^20*t^5.712 + 2*g1^10*t^5.856 - 2*t^6. + (6*t^6.144)/g1^10 + (2*t^6.288)/g1^20 + g1^42*t^6.595 + 2*g1^22*t^6.883 + g1^2*t^7.171 + (6*t^7.315)/g1^8 + (6*t^7.459)/g1^18 + t^7.603/g1^28 + g1^34*t^7.911 + 2*g1^24*t^8.055 - 2*g1^14*t^8.198 + 2*g1^4*t^8.342 - (5*t^8.486)/g1^6 + (7*t^8.63)/g1^16 + (3*t^8.774)/g1^26 + g1^56*t^8.794 - (g1^2*t^4.171)/y - (g1^16*t^6.37)/y - t^6.658/(g1^4*y) + (3*g1^8*t^7.685)/y + (2*t^7.973)/(g1^12*y) - (g1^30*t^8.568)/y + (g1^20*t^8.712)/y + (3*g1^10*t^8.856)/y - g1^2*t^4.171*y - g1^16*t^6.37*y - (t^6.658*y)/g1^4 + 3*g1^8*t^7.685*y + (2*t^7.973*y)/g1^12 - g1^30*t^8.568*y + g1^20*t^8.712*y + 3*g1^10*t^8.856*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 |
---|---|---|---|---|---|---|---|---|
55073 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6315 | 0.779 | 0.8106 | [M:[1.1802, 0.7538, 0.8198, 0.8198, 1.2132, 0.8198], q:[0.4099, 0.4099], qb:[0.8363, 0.7703], phi:[0.3934]] | t^2.261 + 3*t^2.459 + 4*t^3.64 + t^3.739 + t^4.523 + 3*t^4.721 + t^4.82 + 6*t^4.919 + 2*t^5.901 - 4*t^6. - t^4.18/y - t^4.18*y | detail | |
55205 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.5702 | 0.713 | 0.7996 | [M:[1.2857, 1.0, 0.7143, 0.7143, 1.1429], q:[0.3571, 0.3571], qb:[0.6429, 0.9286], phi:[0.4286]] | 2*t^2.143 + 2*t^3. + 4*t^3.429 + t^3.857 + 3*t^4.286 + t^4.714 + 4*t^5.143 + 6*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 447/784, c: 559/784, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 8/7, q1: 5/14, q2: 5/14, qb1: 9/14, qb2: 13/14, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ | 0.6342 | 0.7835 | 0.8094 | [M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | t^2.166 + t^2.333 + 2*t^2.5 + t^3.5 + 3*t^3.667 + t^3.834 + t^4.332 + t^4.499 + 3*t^4.666 + 3*t^4.833 + 3*t^5.001 + t^5.666 + 2*t^5.833 + t^6. - t^4.167/y - t^4.167*y | detail |