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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453 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6236 | 0.7874 | 0.792 | [X:[], M:[1.0, 0.7583, 0.7583, 0.7583], q:[0.5687, 1.0522], qb:[0.4313, 0.4313], phi:[0.3791]] | [X:[], M:[[0], [-4], [-4], [-4]], q:[[-3], [5]], qb:[[3], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1^2\tilde{q}_2^2$ | -2 | 4*t^2.27 + t^2.59 + 2*t^3. + 2*t^4.45 + 10*t^4.55 + 5*t^4.86 + t^5.18 + 6*t^5.27 + 2*t^5.59 - 2*t^6. - 2*t^6.41 + 4*t^6.73 + 20*t^6.82 + 2*t^7.04 + 10*t^7.14 + 4*t^7.45 + 12*t^7.55 + t^7.76 + 4*t^7.86 - 11*t^8.27 - 6*t^8.59 - 6*t^8.69 + 3*t^8.9 - t^4.14/y - (4*t^6.41)/y + (6*t^7.55)/y + (8*t^7.86)/y + (8*t^8.27)/y + (2*t^8.59)/y - (10*t^8.69)/y - t^4.14*y - 4*t^6.41*y + 6*t^7.55*y + 8*t^7.86*y + 8*t^8.27*y + 2*t^8.59*y - 10*t^8.69*y | (4*t^2.27)/g1^4 + g1^6*t^2.59 + 2*t^3. + 2*g1^8*t^4.45 + (10*t^4.55)/g1^8 + 5*g1^2*t^4.86 + g1^12*t^5.18 + (6*t^5.27)/g1^4 + 2*g1^6*t^5.59 - 2*t^6. - (2*t^6.41)/g1^6 + 4*g1^4*t^6.73 + (20*t^6.82)/g1^12 + 2*g1^14*t^7.04 + (10*t^7.14)/g1^2 + 4*g1^8*t^7.45 + (12*t^7.55)/g1^8 + g1^18*t^7.76 + 4*g1^2*t^7.86 - (11*t^8.27)/g1^4 - 6*g1^6*t^8.59 - (6*t^8.69)/g1^10 + 3*g1^16*t^8.9 - t^4.14/(g1^2*y) - (4*t^6.41)/(g1^6*y) + (6*t^7.55)/(g1^8*y) + (8*g1^2*t^7.86)/y + (8*t^8.27)/(g1^4*y) + (2*g1^6*t^8.59)/y - (10*t^8.69)/(g1^10*y) - (t^4.14*y)/g1^2 - (4*t^6.41*y)/g1^6 + (6*t^7.55*y)/g1^8 + 8*g1^2*t^7.86*y + (8*t^8.27*y)/g1^4 + 2*g1^6*t^8.59*y - (10*t^8.69*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
281 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6052 | 0.7542 | 0.8024 | [X:[], M:[1.0, 0.7685, 0.7685], q:[0.5764, 1.0393], qb:[0.4236, 0.4236], phi:[0.3843]] | 3*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + 6*t^4.61 + 4*t^4.85 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^6. - t^4.15/y - t^4.15*y | detail |