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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[9, 1], [-2, 2]], 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_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2^3$, $ M_1\phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3q_1\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_1\tilde{q}_2$ | -1 | 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. + 2*t^6.13 + t^6.14 + 3*t^6.29 + t^6.46 + t^6.58 - t^6.6 + t^6.62 + 3*t^6.72 + t^6.89 + 3*t^7.01 - t^7.03 + t^7.05 + t^7.15 + t^7.18 + t^7.3 - t^7.32 + t^7.34 + 3*t^7.44 + t^7.48 + t^7.61 + 2*t^7.74 - t^7.75 + 2*t^7.78 + 2*t^7.9 - 2*t^8.04 + 2*t^8.07 + 3*t^8.17 + t^8.18 - 2*t^8.21 + 3*t^8.33 - t^8.47 + 3*t^8.5 + t^8.62 - 3*t^8.64 + t^8.66 + 3*t^8.76 + 2*t^8.79 - t^8.8 + t^8.83 - t^8.93 - t^4.32/y - t^6.53/y + t^7.25/y + t^7.68/y + t^7.85/y + t^7.97/y + (2*t^8.11)/y + t^8.14/y + t^8.28/y + (2*t^8.4)/y + (3*t^8.57)/y + t^8.69/y + t^8.71/y - t^8.73/y + t^8.86/y - t^4.32*y - t^6.53*y + t^7.25*y + t^7.68*y + t^7.85*y + t^7.97*y + 2*t^8.11*y + t^8.14*y + t^8.28*y + 2*t^8.4*y + 3*t^8.57*y + t^8.69*y + t^8.71*y - t^8.73*y + t^8.86*y | (g2^3*t^2.04)/g1^3 + g1^9*g2*t^2.21 + (g1^2*t^2.64)/g2^2 + g1^5*g2^5*t^2.93 + t^3.07/(g1^5*g2^5) + (2*g2^2*t^3.36)/g1^2 + g1*g2^9*t^3.65 + (2*g2^6*t^4.08)/g1^6 + g1^6*g2^4*t^4.25 + g1^18*g2^2*t^4.41 + (2*g2*t^4.68)/g1 + (g1^11*t^4.85)/g2 + g1^2*g2^8*t^4.97 + t^5.11/(g1^8*g2^2) + g1^14*g2^6*t^5.14 + (g1^4*t^5.28)/g2^4 + (2*g2^5*t^5.4)/g1^5 + 2*g1^7*g2^3*t^5.57 + (g2^12*t^5.69)/g1^2 + 2*g1^10*g2^10*t^5.86 - t^6. + (2*g2^9*t^6.13)/g1^9 + t^6.14/(g1^10*g2^10) + 3*g1^3*g2^7*t^6.29 + g1^15*g2^5*t^6.46 + g1^6*g2^14*t^6.58 - (g1^5*t^6.6)/g2^5 + g1^27*g2^3*t^6.62 + (3*g2^4*t^6.72)/g1^4 + g1^8*g2^2*t^6.89 + (3*g2^11*t^7.01)/g1 - t^7.03/(g1^2*g2^8) + g1^20*t^7.05 + (g2*t^7.15)/g1^11 + g1^11*g2^9*t^7.18 + g1^2*g2^18*t^7.3 - (g1*t^7.32)/g2 + g1^23*g2^7*t^7.34 + (3*g2^8*t^7.44)/g1^8 + (g1^13*t^7.48)/g2^3 + g1^4*g2^6*t^7.61 + (2*g2^15*t^7.74)/g1^5 - t^7.75/(g1^6*g2^4) + 2*g1^16*g2^4*t^7.78 + 2*g1^7*g2^13*t^7.9 - (2*g2^3*t^8.04)/g1^3 + 2*g1^19*g2^11*t^8.07 + (3*g2^12*t^8.17)/g1^12 + t^8.18/(g1^13*g2^7) - 2*g1^9*g2*t^8.21 + 3*g2^10*t^8.33 - t^8.47/g1^10 + 3*g1^12*g2^8*t^8.5 + g1^3*g2^17*t^8.62 - (3*g1^2*t^8.64)/g2^2 + g1^24*g2^6*t^8.66 + (3*g2^7*t^8.76)/g1^7 + 2*g1^15*g2^15*t^8.79 - (g1^14*t^8.8)/g2^4 + g1^36*g2^4*t^8.83 - g1^5*g2^5*t^8.93 - (g1*t^4.32)/(g2*y) - (g1^10*t^6.53)/y + (g1^6*g2^4*t^7.25)/y + (g2*t^7.68)/(g1*y) + (g1^11*t^7.85)/(g2*y) + (g1^2*g2^8*t^7.97)/y + (2*t^8.11)/(g1^8*g2^2*y) + (g1^14*g2^6*t^8.14)/y + (g1^4*t^8.28)/(g2^4*y) + (2*g2^5*t^8.4)/(g1^5*y) + (3*g1^7*g2^3*t^8.57)/y + (g2^12*t^8.69)/(g1^2*y) + t^8.71/(g1^3*g2^7*y) - (g1^19*g2*t^8.73)/y + (g1^10*g2^10*t^8.86)/y - (g1*t^4.32*y)/g2 - g1^10*t^6.53*y + g1^6*g2^4*t^7.25*y + (g2*t^7.68*y)/g1 + (g1^11*t^7.85*y)/g2 + g1^2*g2^8*t^7.97*y + (2*t^8.11*y)/(g1^8*g2^2) + g1^14*g2^6*t^8.14*y + (g1^4*t^8.28*y)/g2^4 + (2*g2^5*t^8.4*y)/g1^5 + 3*g1^7*g2^3*t^8.57*y + (g2^12*t^8.69*y)/g1^2 + (t^8.71*y)/(g1^3*g2^7) - g1^19*g2*t^8.73*y + g1^10*g2^10*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 46005 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.3/y - t^4.3*y | detail | |
| 46034 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.4728 | 0.5871 | 0.8053 | [X:[1.5958], M:[0.4042, 1.1917], q:[0.4042, 1.1917], qb:[0.4042, 0.3833], phi:[0.4042]] | 2*t^2.36 + t^2.43 + t^3.51 + 2*t^3.57 + t^3.64 + 4*t^4.72 + 3*t^4.79 + 2*t^5.87 + 3*t^5.94 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 46061 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1\tilde{q}_2^3$ | 0.5407 | 0.6833 | 0.7913 | [X:[], M:[0.7245, 1.141], q:[0.282, 0.9935], qb:[0.577, 0.4295], phi:[0.4295]] | t^2.13 + t^2.17 + t^2.58 + t^2.98 + t^3.02 + 2*t^3.42 + t^3.87 + 2*t^4.27 + t^4.31 + t^4.35 + 2*t^4.71 + t^4.75 + t^5.11 + 2*t^5.15 + t^5.19 + 2*t^5.56 + 2*t^5.6 + t^5.96 - t^4.29/y - t^4.29*y | detail | |
| 46060 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.4897 | 0.6147 | 0.7966 | [X:[], M:[0.7642, 1.2102], q:[0.2102, 1.0256], qb:[0.5796, 0.6051], phi:[0.3949]] | t^2.29 + t^2.37 + 2*t^2.45 + t^3.55 + 2*t^3.63 + t^4.59 + t^4.66 + 2*t^4.74 + 3*t^4.82 + 4*t^4.89 + t^5.85 + t^5.92 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 46010 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ | 0.5422 | 0.6869 | 0.7893 | [X:[], M:[0.7543, 1.1229], q:[0.2807, 0.965], qb:[0.5964, 0.4036], phi:[0.4386]] | t^2.05 + t^2.26 + t^2.63 + 2*t^3. + 2*t^3.37 + t^3.74 + 2*t^4.11 + t^4.32 + t^4.53 + 2*t^4.68 + t^4.89 + 2*t^5.05 + 2*t^5.26 + 2*t^5.42 + 2*t^5.63 + t^5.79 + 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail |