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 |
|---|---|---|---|---|---|---|---|---|---|
| 46005 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[0.7365, 1.1317, 0.7365], q:[0.2829, 0.9805], qb:[0.5853, 0.4147], phi:[0.4341]] | [X:[], M:[[9, 1], [-2, 2], [-1, -9]], q:[[-3, -2], [-6, 1]], qb:[[5, 0], [0, 5]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ \phi_1^2$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^3\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_3\phi_1q_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1^3q_1^2$, $ M_1M_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1^2q_1^4$, $ \phi_1^3q_1\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | 1 | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. + 2*t^6.28 + 4*t^6.4 + 2*t^6.51 + 4*t^6.63 + 2*t^6.79 + 2*t^6.91 + 3*t^7.02 + 2*t^7.19 + 2*t^7.3 + 6*t^7.42 + 3*t^7.58 + 2*t^7.7 + 6*t^7.81 + 3*t^8.37 + 2*t^8.49 + 3*t^8.6 + 2*t^8.72 + 5*t^8.84 + 2*t^8.88 - t^4.3/y - (2*t^6.51)/y + (2*t^7.3)/y + t^7.42/y + t^7.7/y + (2*t^7.81)/y + (4*t^8.09)/y + (4*t^8.21)/y + (2*t^8.49)/y + (6*t^8.6)/y - (3*t^8.72)/y - t^4.3*y - 2*t^6.51*y + 2*t^7.3*y + t^7.42*y + t^7.7*y + 2*t^7.81*y + 4*t^8.09*y + 4*t^8.21*y + 2*t^8.49*y + 6*t^8.6*y - 3*t^8.72*y | (g2^3*t^2.09)/g1^3 + t^2.21/(g1*g2^9) + g1^9*g2*t^2.21 + (g1^2*t^2.6)/g2^2 + t^3./(g1^5*g2^5) + g1^5*g2^5*t^3. + (2*g2^2*t^3.4)/g1^2 + (2*g2^6*t^4.19)/g1^6 + t^4.3/(g1^4*g2^6) + g1^6*g2^4*t^4.3 + t^4.42/(g1^2*g2^18) + (g1^8*t^4.42)/g2^8 + g1^18*g2^2*t^4.42 + (2*g2*t^4.7)/g1 + (g1*t^4.81)/g2^11 + (g1^11*t^4.81)/g2 + t^5.09/(g1^8*g2^2) + g1^2*g2^8*t^5.09 + t^5.21/(g1^6*g2^14) + (2*g1^4*t^5.21)/g2^4 + g1^14*g2^6*t^5.21 + (2*g2^5*t^5.49)/g1^5 + (2*t^5.6)/(g1^3*g2^7) + 2*g1^7*g2^3*t^5.6 - t^6. + t^6./(g1^10*g2^10) + g1^10*g2^10*t^6. + (2*g2^9*t^6.28)/g1^9 + (2*t^6.4)/(g1^7*g2^3) + 2*g1^3*g2^7*t^6.4 + t^6.51/(g1^5*g2^15) + g1^15*g2^5*t^6.51 + t^6.63/(g1^3*g2^27) + (g1^7*t^6.63)/g2^17 + (g1^17*t^6.63)/g2^7 + g1^27*g2^3*t^6.63 + (2*g2^4*t^6.79)/g1^4 + t^6.91/(g1^2*g2^8) + g1^8*g2^2*t^6.91 + g1^20*t^7.02 + t^7.02/g2^20 + (g1^10*t^7.02)/g2^10 + (g2*t^7.19)/g1^11 + (g2^11*t^7.19)/g1 + t^7.3/(g1^9*g2^11) + g1^11*g2^9*t^7.3 + t^7.42/(g1^7*g2^23) + (2*g1^3*t^7.42)/g2^13 + (2*g1^13*t^7.42)/g2^3 + g1^23*g2^7*t^7.42 + (3*g2^8*t^7.58)/g1^8 + t^7.7/(g1^6*g2^4) + g1^4*g2^6*t^7.7 + (2*t^7.81)/(g1^4*g2^16) + (2*g1^6*t^7.81)/g2^6 + 2*g1^16*g2^4*t^7.81 + t^8.09/(g1^13*g2^7) - (2*g2^3*t^8.09)/g1^3 + g1^7*g2^13*t^8.09 + t^8.21/(g1^11*g2^19) - t^8.21/(g1*g2^9) - g1^9*g2*t^8.21 + g1^19*g2^11*t^8.21 + (3*g2^12*t^8.37)/g1^12 + t^8.49/g1^10 + g2^10*t^8.49 + (2*t^8.6)/(g1^8*g2^12) - (g1^2*t^8.6)/g2^2 + 2*g1^12*g2^8*t^8.6 + t^8.72/(g1^6*g2^24) + g1^24*g2^6*t^8.72 + t^8.84/(g1^4*g2^36) + (g1^6*t^8.84)/g2^26 + (g1^16*t^8.84)/g2^16 + (g1^26*t^8.84)/g2^6 + g1^36*g2^4*t^8.84 + (2*g2^7*t^8.88)/g1^7 - (g1*t^4.3)/(g2*y) - (g1^10*t^6.51)/y - t^6.51/(g2^10*y) + t^7.3/(g1^4*g2^6*y) + (g1^6*g2^4*t^7.3)/y + (g1^8*t^7.42)/(g2^8*y) + (g2*t^7.7)/(g1*y) + (g1*t^7.81)/(g2^11*y) + (g1^11*t^7.81)/(g2*y) + (2*t^8.09)/(g1^8*g2^2*y) + (2*g1^2*g2^8*t^8.09)/y + t^8.21/(g1^6*g2^14*y) + (2*g1^4*t^8.21)/(g2^4*y) + (g1^14*g2^6*t^8.21)/y + (2*g2^5*t^8.49)/(g1^5*y) + (3*t^8.6)/(g1^3*g2^7*y) + (3*g1^7*g2^3*t^8.6)/y - t^8.72/(g1*g2^19*y) - (g1^9*t^8.72)/(g2^9*y) - (g1^19*g2*t^8.72)/y - (g1*t^4.3*y)/g2 - g1^10*t^6.51*y - (t^6.51*y)/g2^10 + (t^7.3*y)/(g1^4*g2^6) + g1^6*g2^4*t^7.3*y + (g1^8*t^7.42*y)/g2^8 + (g2*t^7.7*y)/g1 + (g1*t^7.81*y)/g2^11 + (g1^11*t^7.81*y)/g2 + (2*t^8.09*y)/(g1^8*g2^2) + 2*g1^2*g2^8*t^8.09*y + (t^8.21*y)/(g1^6*g2^14) + (2*g1^4*t^8.21*y)/g2^4 + g1^14*g2^6*t^8.21*y + (2*g2^5*t^8.49*y)/g1^5 + (3*t^8.6*y)/(g1^3*g2^7) + 3*g1^7*g2^3*t^8.6*y - (t^8.72*y)/(g1*g2^19) - (g1^9*t^8.72*y)/g2^9 - g1^19*g2*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 46158 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.5633 | 0.7261 | 0.7758 | [X:[], M:[0.698, 1.1313, 0.7766, 0.9607], q:[0.3025, 0.9995], qb:[0.5662, 0.3945], phi:[0.4343]] | 2*t^2.09 + t^2.33 + t^2.61 + 2*t^2.88 + 2*t^3.39 + 2*t^4.18 + 2*t^4.19 + 2*t^4.42 + t^4.66 + 3*t^4.7 + t^4.94 + 2*t^4.97 + 2*t^4.98 + 2*t^5.21 + 2*t^5.48 + 3*t^5.49 + t^5.72 + 3*t^5.76 - 2*t^6. - t^4.3/y - t^4.3*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[0.7357, 1.1204], q:[0.2918, 0.9724], qb:[0.5878, 0.3888], phi:[0.4398]] | t^2.04 + t^2.21 + t^2.64 + t^2.93 + t^3.07 + 2*t^3.36 + t^3.65 + 2*t^4.08 + t^4.25 + t^4.41 + 2*t^4.68 + t^4.85 + t^4.97 + t^5.11 + t^5.14 + t^5.28 + 2*t^5.4 + 2*t^5.57 + t^5.69 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*y | detail |