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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[], M:[[0], [-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$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\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$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$ | 1 | 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^6.24 - 2*t^6.46 + 4*t^6.69 + 10*t^6.92 + 2*t^6.93 + 5*t^7.15 + 4*t^7.39 + 6*t^7.61 + t^7.62 + 2*t^7.85 + 2*t^8.08 - 3*t^8.31 - 2*t^8.54 - 4*t^8.76 + 4*t^8.78 - t^4.15/y - (3*t^6.46)/y + (3*t^7.61)/y + (6*t^7.85)/y + (6*t^8.31)/y + (2*t^8.54)/y - (6*t^8.76)/y - t^4.15*y - 3*t^6.46*y + 3*t^7.61*y + 6*t^7.85*y + 6*t^8.31*y + 2*t^8.54*y - 6*t^8.76*y | (3*t^2.31)/g1^4 + g1^6*t^2.54 + 2*t^3. + g1^4*t^3.69 + 2*g1^8*t^4.39 + (6*t^4.61)/g1^8 + 4*g1^2*t^4.85 + g1^12*t^5.08 + (4*t^5.31)/g1^4 + 2*g1^6*t^5.54 + t^6. + g1^10*t^6.24 - (2*t^6.46)/g1^6 + 4*g1^4*t^6.69 + (10*t^6.92)/g1^12 + 2*g1^14*t^6.93 + (5*t^7.15)/g1^2 + 4*g1^8*t^7.39 + (6*t^7.61)/g1^8 + g1^18*t^7.62 + 2*g1^2*t^7.85 + 2*g1^12*t^8.08 - (3*t^8.31)/g1^4 - 2*g1^6*t^8.54 - (4*t^8.76)/g1^10 + 4*g1^16*t^8.78 - t^4.15/(g1^2*y) - (3*t^6.46)/(g1^6*y) + (3*t^7.61)/(g1^8*y) + (6*g1^2*t^7.85)/y + (6*t^8.31)/(g1^4*y) + (2*g1^6*t^8.54)/y - (6*t^8.76)/(g1^10*y) - (t^4.15*y)/g1^2 - (3*t^6.46*y)/g1^6 + (3*t^7.61*y)/g1^8 + 6*g1^2*t^7.85*y + (6*t^8.31*y)/g1^4 + 2*g1^6*t^8.54*y - (6*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
453 | $\phi_1q_1q_2$ + $ 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]] | 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. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
179 | 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$ | 0.5873 | 0.7229 | 0.8123 | [X:[], M:[1.0, 0.7807], q:[0.5855, 1.0241], qb:[0.4145, 0.4145], phi:[0.3903]] | 2*t^2.34 + t^2.49 + 2*t^3. + 2*t^3.66 + 2*t^4.32 + 3*t^4.68 + 3*t^4.83 + t^4.97 + 2*t^5.34 + 2*t^5.49 + 2*t^6. - t^4.17/y - t^4.17*y | detail |