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 |
|---|---|---|---|---|---|---|---|---|---|
| 46574 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_5$ | 0.6058 | 0.7557 | 0.8017 | [X:[], M:[1.0133, 0.9867, 0.742, 0.7954, 0.9867], q:[0.5765, 0.4101], qb:[0.4368, 1.0391], phi:[0.3844]] | [X:[], M:[[1, -3], [-1, 3], [-2, 2], [2, -10], [-1, 3]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_1$, $ M_2$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2M_3$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | t^2.23 + t^2.31 + t^2.39 + t^2.54 + 2*t^2.96 + t^3.69 + t^4.35 + t^4.43 + t^4.45 + t^4.53 + 2*t^4.61 + t^4.69 + 2*t^4.77 + 2*t^4.85 + t^4.93 + t^5.08 + 2*t^5.19 + t^5.27 + t^5.35 + 2*t^5.5 + 3*t^5.92 - 2*t^6. + t^6.23 - t^6.42 - t^6.5 + t^6.57 + 2*t^6.65 + t^6.68 + t^6.76 + t^6.81 + 2*t^6.84 + t^6.89 + 2*t^6.92 + t^6.97 + t^6.99 + 2*t^7. + t^7.07 + t^7.08 + t^7.15 + t^7.16 + t^7.23 + 3*t^7.31 + 2*t^7.39 + 2*t^7.41 + t^7.49 + 2*t^7.57 + t^7.62 + 3*t^7.73 + t^7.81 - t^7.89 + 2*t^8.04 + 3*t^8.15 - 2*t^8.23 - t^8.31 - 3*t^8.39 + 2*t^8.46 - 3*t^8.54 - t^8.62 - t^8.65 + t^8.7 - t^8.73 + 2*t^8.78 + t^8.8 - t^8.81 + t^8.86 + 4*t^8.88 - t^8.89 + t^8.9 - 5*t^8.96 + t^8.98 - t^4.15/y - t^6.38/y - t^6.46/y - t^6.54/y - t^7.11/y + t^7.19/y + t^7.53/y + t^7.61/y + t^7.69/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.93)/y + (2*t^8.19)/y + (2*t^8.27)/y + (2*t^8.35)/y + (2*t^8.5)/y - t^8.61/y - t^8.69/y - (2*t^8.77)/y - t^8.85/y + (2*t^8.92)/y - t^8.93/y - t^4.15*y - t^6.38*y - t^6.46*y - t^6.54*y - t^7.11*y + t^7.19*y + t^7.53*y + t^7.61*y + t^7.69*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.93*y + 2*t^8.19*y + 2*t^8.27*y + 2*t^8.35*y + 2*t^8.5*y - t^8.61*y - t^8.69*y - 2*t^8.77*y - t^8.85*y + 2*t^8.92*y - t^8.93*y | (g2^2*t^2.23)/g1^2 + t^2.31/g2^4 + (g1^2*t^2.39)/g2^10 + g2^6*t^2.54 + (2*g2^3*t^2.96)/g1 + g2^4*t^3.69 + (g2^11*t^4.35)/g1 + g1*g2^5*t^4.43 + (g2^4*t^4.45)/g1^4 + t^4.53/(g1^2*g2^2) + (2*t^4.61)/g2^8 + (g1^2*t^4.69)/g2^14 + (g1^4*t^4.77)/g2^20 + (g2^8*t^4.77)/g1^2 + 2*g2^2*t^4.85 + (g1^2*t^4.93)/g2^4 + g2^12*t^5.08 + (2*g2^5*t^5.19)/g1^3 + t^5.27/(g1*g2) + (g1*t^5.35)/g2^7 + (2*g2^9*t^5.5)/g1 + (3*g2^6*t^5.92)/g1^2 - 2*t^6. + g2^10*t^6.23 - t^6.42/(g1*g2^3) - (g1*t^6.5)/g2^9 + (g2^13*t^6.57)/g1^3 + (2*g2^7*t^6.65)/g1 + (g2^6*t^6.68)/g1^6 + t^6.76/g1^4 + (g1^3*t^6.81)/g2^5 + (2*t^6.84)/(g1^2*g2^6) + (g2^17*t^6.89)/g1 + (2*t^6.92)/g2^12 + g1*g2^11*t^6.97 + (g2^10*t^6.99)/g1^4 + (2*g1^2*t^7.)/g2^18 + (g2^4*t^7.07)/g1^2 + (g1^4*t^7.08)/g2^24 + t^7.15/g2^2 + (g1^6*t^7.16)/g2^30 + (g1^2*t^7.23)/g2^8 + (g1^4*t^7.31)/g2^14 + (2*g2^14*t^7.31)/g1^2 + 2*g2^8*t^7.39 + (2*g2^7*t^7.41)/g1^5 + (g2*t^7.49)/g1^3 + (2*t^7.57)/(g1*g2^5) + g2^18*t^7.62 + (g1^3*t^7.73)/g2^17 + (2*g2^11*t^7.73)/g1^3 + (g2^5*t^7.81)/g1 - (g1*t^7.89)/g2 + (2*g2^15*t^8.04)/g1 + (3*g2^8*t^8.15)/g1^4 - (2*g2^2*t^8.23)/g1^2 - t^8.31/g2^4 - (3*g1^2*t^8.39)/g2^10 + (2*g2^12*t^8.46)/g1^2 - 3*g2^6*t^8.54 - g1^2*t^8.62 - t^8.65/(g1^3*g2) + (g2^22*t^8.7)/g1^2 - t^8.73/(g1*g2^7) + 2*g2^16*t^8.78 + (g2^15*t^8.8)/g1^5 - (g1*t^8.81)/g2^13 + g1^2*g2^10*t^8.86 + (4*g2^9*t^8.88)/g1^3 - (g1^3*t^8.89)/g2^19 + (g2^8*t^8.9)/g1^8 - (5*g2^3*t^8.96)/g1 + (g2^2*t^8.98)/g1^6 - t^4.15/(g2^2*y) - t^6.38/(g1^2*y) - t^6.46/(g2^6*y) - (g1^2*t^6.54)/(g2^12*y) - (g2*t^7.11)/(g1*y) + (g1*t^7.19)/(g2^5*y) + t^7.53/(g1^2*g2^2*y) + t^7.61/(g2^8*y) + (g1^2*t^7.69)/(g2^14*y) + (2*g2^8*t^7.77)/(g1^2*y) + (2*g2^2*t^7.85)/y + (2*g1^2*t^7.93)/(g2^4*y) + (2*g2^5*t^8.19)/(g1^3*y) + (2*t^8.27)/(g1*g2*y) + (2*g1*t^8.35)/(g2^7*y) + (2*g2^9*t^8.5)/(g1*y) - (g2^2*t^8.61)/(g1^4*y) - t^8.69/(g1^2*g2^4*y) - (2*t^8.77)/(g2^10*y) - (g1^2*t^8.85)/(g2^16*y) + (2*g2^6*t^8.92)/(g1^2*y) - (g1^4*t^8.93)/(g2^22*y) - (t^4.15*y)/g2^2 - (t^6.38*y)/g1^2 - (t^6.46*y)/g2^6 - (g1^2*t^6.54*y)/g2^12 - (g2*t^7.11*y)/g1 + (g1*t^7.19*y)/g2^5 + (t^7.53*y)/(g1^2*g2^2) + (t^7.61*y)/g2^8 + (g1^2*t^7.69*y)/g2^14 + (2*g2^8*t^7.77*y)/g1^2 + 2*g2^2*t^7.85*y + (2*g1^2*t^7.93*y)/g2^4 + (2*g2^5*t^8.19*y)/g1^3 + (2*t^8.27*y)/(g1*g2) + (2*g1*t^8.35*y)/g2^7 + (2*g2^9*t^8.5*y)/g1 - (g2^2*t^8.61*y)/g1^4 - (t^8.69*y)/(g1^2*g2^4) - (2*t^8.77*y)/g2^10 - (g1^2*t^8.85*y)/g2^16 + (2*g2^6*t^8.92*y)/g1^2 - (g1^4*t^8.93*y)/g2^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48156 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_5$ + $ M_3^2$ | 0.566 | 0.7123 | 0.7946 | [X:[], M:[0.9205, 1.0795, 1.0, 0.682, 1.0795], q:[0.6307, 0.4488], qb:[0.2898, 0.9488], phi:[0.4205]] | t^2.05 + t^2.22 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.72 + t^4.09 + t^4.19 + t^4.26 + t^4.43 + t^4.57 + 2*t^4.74 + 2*t^5.05 + t^5.22 + t^5.28 + 2*t^5.45 + t^5.52 + t^5.69 + 2*t^5.76 + t^5.93 - t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ | 0.6052 | 0.7542 | 0.8024 | [X:[], M:[1.0, 1.0, 0.7685, 0.7685], q:[0.5764, 0.4236], qb:[0.4236, 1.0393], 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 |