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 |
|---|---|---|---|---|---|---|---|---|---|
| 121 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | [X:[], M:[[2, 2], [1, -5]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ \phi_1^4$, $ M_2q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1^3\tilde{q}_1^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1^4$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -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 | g1^3*g2^3*t^2.04 + (g1*t^2.21)/g2^5 + t^2.64/(g1^2*g2^2) + (g1^5*t^2.93)/g2 + (g2*t^3.07)/g1^5 + 2*g1^2*g2^2*t^3.36 + g1^9*g2^3*t^3.65 + 2*g1^6*g2^6*t^4.08 + (g1^4*t^4.25)/g2^2 + (g1^2*t^4.41)/g2^10 + 2*g1*g2*t^4.68 + t^4.85/(g1*g2^7) + g1^8*g2^2*t^4.97 + (g2^4*t^5.11)/g1^2 + (g1^6*t^5.14)/g2^6 + t^5.28/(g1^4*g2^4) + 2*g1^5*g2^5*t^5.4 + (2*g1^3*t^5.57)/g2^3 + g1^12*g2^6*t^5.69 + (2*g1^10*t^5.86)/g2^2 - t^6. + 2*g1^9*g2^9*t^6.13 + (g2^2*t^6.14)/g1^10 + 3*g1^7*g2*t^6.29 + (g1^5*t^6.46)/g2^7 + g1^14*g2^2*t^6.58 - t^6.6/(g1^5*g2^5) + (g1^3*t^6.62)/g2^15 + 3*g1^4*g2^4*t^6.72 + (g1^2*t^6.89)/g2^4 + 3*g1^11*g2^5*t^7.01 - t^7.03/(g1^8*g2^2) + t^7.05/g2^12 + g1*g2^7*t^7.15 + (g1^9*t^7.18)/g2^3 + g1^18*g2^6*t^7.3 - t^7.32/(g1*g2) + (g1^7*t^7.34)/g2^11 + 3*g1^8*g2^8*t^7.44 + t^7.48/(g1^3*g2^9) + g1^6*t^7.61 + 2*g1^15*g2^9*t^7.74 - (g2^2*t^7.75)/g1^4 + (2*g1^4*t^7.78)/g2^8 + 2*g1^13*g2*t^7.9 - 2*g1^3*g2^3*t^8.04 + (2*g1^11*t^8.07)/g2^7 + 3*g1^12*g2^12*t^8.17 + (g2^5*t^8.18)/g1^7 - (2*g1*t^8.21)/g2^5 + 3*g1^10*g2^4*t^8.33 - g2^6*t^8.47 + (3*g1^8*t^8.5)/g2^4 + g1^17*g2^5*t^8.62 - (3*t^8.64)/(g1^2*g2^2) + (g1^6*t^8.66)/g2^12 + 3*g1^7*g2^7*t^8.76 + (2*g1^15*t^8.79)/g2^3 - t^8.8/(g1^4*g2^10) + (g1^4*t^8.83)/g2^20 - (g1^5*t^8.93)/g2 - t^4.32/(g1*g2*y) - t^6.53/(g2^6*y) + (g1^4*t^7.25)/(g2^2*y) + (g1*g2*t^7.68)/y + t^7.85/(g1*g2^7*y) + (g1^8*g2^2*t^7.97)/y + (2*g2^4*t^8.11)/(g1^2*y) + (g1^6*t^8.14)/(g2^6*y) + t^8.28/(g1^4*g2^4*y) + (2*g1^5*g2^5*t^8.4)/y + (3*g1^3*t^8.57)/(g2^3*y) + (g1^12*g2^6*t^8.69)/y + t^8.71/(g1^7*g2*y) - (g1*t^8.73)/(g2^11*y) + (g1^10*t^8.86)/(g2^2*y) - (t^4.32*y)/(g1*g2) - (t^6.53*y)/g2^6 + (g1^4*t^7.25*y)/g2^2 + g1*g2*t^7.68*y + (t^7.85*y)/(g1*g2^7) + g1^8*g2^2*t^7.97*y + (2*g2^4*t^8.11*y)/g1^2 + (g1^6*t^8.14*y)/g2^6 + (t^8.28*y)/(g1^4*g2^4) + 2*g1^5*g2^5*t^8.4*y + (3*g1^3*t^8.57*y)/g2^3 + g1^12*g2^6*t^8.69*y + (t^8.71*y)/(g1^7*g2) - (g1*t^8.73*y)/g2^11 + (g1^10*t^8.86*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 196 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.4995 | 0.612 | 0.8162 | [X:[1.4], M:[1.2, 0.6], q:[0.5, 1.1], qb:[0.3, 0.5], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 999/2000, c: 153/250, X1: 7/5, M1: 6/5, M2: 3/5, q1: 1/2, q2: 11/10, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
| 197 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.4897 | 0.6147 | 0.7966 | [X:[], M:[1.2102, 0.7642], q:[0.3949, 1.2102], qb:[0.3949, 0.4204], 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 | |
| 199 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ | 0.4728 | 0.5871 | 0.8053 | [X:[1.5958], M:[1.1917, 0.4042], q:[0.6167, 0.9791], qb:[0.1917, 0.5958], 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 | |
| 1714 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5407 | 0.6833 | 0.7913 | [X:[], M:[1.141, 0.7245], q:[0.5705, 1.0], qb:[0.2885, 0.423], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], 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 |