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 |
|---|---|---|---|---|---|---|---|---|---|
| 46311 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4q_2\tilde{q}_1$ | 0.6359 | 0.8312 | 0.765 | [X:[], M:[0.6721, 0.6721, 1.0, 0.8754], q:[0.7656, 0.5623], qb:[0.5623, 0.2344], phi:[0.4689]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [0, 8]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_4$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_4q_2\tilde{q}_2$, $ M_1M_3$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_2\phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -5 | 2*t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.81 + t^3. + 2*t^3.8 + 3*t^4.03 + 4*t^4.41 + 2*t^4.64 + 6*t^4.78 + 4*t^4.83 + 2*t^5.02 + 4*t^5.2 + t^5.25 + 2*t^5.39 + 2*t^5.44 + 4*t^5.63 + 5*t^5.81 - 5*t^6. + 4*t^6.05 + 3*t^6.19 - t^6.37 + 6*t^6.42 + 2*t^6.61 + 3*t^6.66 + 10*t^6.8 + 6*t^6.85 - 4*t^6.98 + 3*t^7.03 + 8*t^7.17 + 8*t^7.22 + 2*t^7.27 + 2*t^7.41 + 4*t^7.46 + 10*t^7.59 + 8*t^7.64 + 2*t^7.78 + 8*t^7.83 + t^7.88 - 3*t^7.97 - 4*t^8.02 + 7*t^8.07 + 8*t^8.2 + 4*t^8.25 - 14*t^8.39 + 13*t^8.44 + 6*t^8.58 + 3*t^8.63 + 4*t^8.68 - 4*t^8.76 + 2*t^8.81 + 8*t^8.86 - t^4.41/y - (2*t^6.42)/y - t^7.22/y + (4*t^7.41)/y + t^7.59/y + (2*t^7.64)/y + (2*t^7.78)/y + (4*t^7.83)/y + (4*t^8.02)/y + (4*t^8.2)/y + (4*t^8.39)/y - t^8.44/y + (2*t^8.63)/y + (6*t^8.81)/y - t^4.41*y - 2*t^6.42*y - t^7.22*y + 4*t^7.41*y + t^7.59*y + 2*t^7.64*y + 2*t^7.78*y + 4*t^7.83*y + 4*t^8.02*y + 4*t^8.2*y + 4*t^8.39*y - t^8.44*y + 2*t^8.63*y + 6*t^8.81*y | (g2*t^2.02)/g1 + g1*g2^9*t^2.02 + t^2.39/(g1*g2^7) + g1*g2*t^2.39 + g2^8*t^2.63 + 2*g2^4*t^2.81 + t^3. + t^3.8/(g1*g2^5) + g1*g2^3*t^3.8 + (g2^2*t^4.03)/g1^2 + g2^10*t^4.03 + g1^2*g2^18*t^4.03 + t^4.41/(g1^2*g2^6) + 2*g2^2*t^4.41 + g1^2*g2^10*t^4.41 + (g2^9*t^4.64)/g1 + g1*g2^17*t^4.64 + (2*t^4.78)/(g1^2*g2^14) + (2*t^4.78)/g2^6 + 2*g1^2*g2^2*t^4.78 + (2*g2^5*t^4.83)/g1 + 2*g1*g2^13*t^4.83 + (g2*t^5.02)/g1 + g1*g2^9*t^5.02 + (2*t^5.2)/(g1*g2^3) + 2*g1*g2^5*t^5.2 + g2^16*t^5.25 + t^5.39/(g1*g2^7) + g1*g2*t^5.39 + 2*g2^12*t^5.44 + 4*g2^8*t^5.63 + t^5.81/(g1^2*g2^4) + 3*g2^4*t^5.81 + g1^2*g2^12*t^5.81 - 3*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + (g2^3*t^6.05)/g1^3 + (g2^11*t^6.05)/g1 + g1*g2^19*t^6.05 + g1^3*g2^27*t^6.05 + t^6.19/(g1^2*g2^12) + t^6.19/g2^4 + g1^2*g2^4*t^6.19 - t^6.37/g2^8 + t^6.42/(g1^3*g2^5) + (2*g2^3*t^6.42)/g1 + 2*g1*g2^11*t^6.42 + g1^3*g2^19*t^6.42 + t^6.61/(g1*g2) + g1*g2^7*t^6.61 + (g2^10*t^6.66)/g1^2 + g2^18*t^6.66 + g1^2*g2^26*t^6.66 + (2*t^6.8)/(g1^3*g2^13) + (3*t^6.8)/(g1*g2^5) + 3*g1*g2^3*t^6.8 + 2*g1^3*g2^11*t^6.8 + (2*g2^6*t^6.85)/g1^2 + 2*g2^14*t^6.85 + 2*g1^2*g2^22*t^6.85 - (2*t^6.98)/(g1*g2^9) - (2*g1*t^6.98)/g2 + (g2^2*t^7.03)/g1^2 + g2^10*t^7.03 + g1^2*g2^18*t^7.03 + (2*t^7.17)/(g1^3*g2^21) + (2*t^7.17)/(g1*g2^13) + (2*g1*t^7.17)/g2^5 + 2*g1^3*g2^3*t^7.17 + (2*t^7.22)/(g1^2*g2^2) + 4*g2^6*t^7.22 + 2*g1^2*g2^14*t^7.22 + (g2^17*t^7.27)/g1 + g1*g2^25*t^7.27 + t^7.41/(g1^2*g2^6) + g1^2*g2^10*t^7.41 + (2*g2^13*t^7.46)/g1 + 2*g1*g2^21*t^7.46 + (4*t^7.59)/(g1^2*g2^10) + (2*t^7.59)/g2^2 + 4*g1^2*g2^6*t^7.59 + (4*g2^9*t^7.64)/g1 + 4*g1*g2^17*t^7.64 + t^7.78/(g1^2*g2^14) + g1^2*g2^2*t^7.78 + t^7.83/(g1^3*g2^3) + (3*g2^5*t^7.83)/g1 + 3*g1*g2^13*t^7.83 + g1^3*g2^21*t^7.83 + g2^24*t^7.88 - t^7.97/(g1^2*g2^18) - t^7.97/g2^10 - (g1^2*t^7.97)/g2^2 - t^8.02/(g1^3*g2^7) - (g2*t^8.02)/g1 - g1*g2^9*t^8.02 - g1^3*g2^17*t^8.02 + (g2^4*t^8.07)/g1^4 + (g2^12*t^8.07)/g1^2 + 3*g2^20*t^8.07 + g1^2*g2^28*t^8.07 + g1^4*g2^36*t^8.07 + t^8.2/(g1^3*g2^11) + (3*t^8.2)/(g1*g2^3) + 3*g1*g2^5*t^8.2 + g1^3*g2^13*t^8.2 + 4*g2^16*t^8.25 - t^8.39/(g1^3*g2^15) - (6*t^8.39)/(g1*g2^7) - 6*g1*g2*t^8.39 - g1^3*g2^9*t^8.39 + t^8.44/(g1^4*g2^4) + (2*g2^4*t^8.44)/g1^2 + 7*g2^12*t^8.44 + 2*g1^2*g2^20*t^8.44 + g1^4*g2^28*t^8.44 + (2*t^8.58)/(g1^3*g2^19) + t^8.58/(g1*g2^11) + (g1*t^8.58)/g2^3 + 2*g1^3*g2^5*t^8.58 + t^8.63/g1^2 + g2^8*t^8.63 + g1^2*g2^16*t^8.63 + (g2^11*t^8.68)/g1^3 + (g2^19*t^8.68)/g1 + g1*g2^27*t^8.68 + g1^3*g2^35*t^8.68 - (2*t^8.76)/(g1*g2^15) - (2*g1*t^8.76)/g2^7 + (2*t^8.81)/(g1^4*g2^12) + t^8.81/(g1^2*g2^4) - 4*g2^4*t^8.81 + g1^2*g2^12*t^8.81 + 2*g1^4*g2^20*t^8.81 + (2*g2^7*t^8.86)/g1^3 + (2*g2^15*t^8.86)/g1 + 2*g1*g2^23*t^8.86 + 2*g1^3*g2^31*t^8.86 - (g2^2*t^4.41)/y - (g2^3*t^6.42)/(g1*y) - (g1*g2^11*t^6.42)/y - (g2^6*t^7.22)/y + t^7.41/(g1^2*g2^6*y) + (2*g2^2*t^7.41)/y + (g1^2*g2^10*t^7.41)/y + t^7.59/(g2^2*y) + (g2^9*t^7.64)/(g1*y) + (g1*g2^17*t^7.64)/y + (2*t^7.78)/(g2^6*y) + (2*g2^5*t^7.83)/(g1*y) + (2*g1*g2^13*t^7.83)/y + (2*g2*t^8.02)/(g1*y) + (2*g1*g2^9*t^8.02)/y + (2*t^8.2)/(g1*g2^3*y) + (2*g1*g2^5*t^8.2)/y + (2*t^8.39)/(g1*g2^7*y) + (2*g1*g2*t^8.39)/y - (g2^4*t^8.44)/(g1^2*y) + (g2^12*t^8.44)/y - (g1^2*g2^20*t^8.44)/y + (2*g2^8*t^8.63)/y + t^8.81/(g1^2*g2^4*y) + (4*g2^4*t^8.81)/y + (g1^2*g2^12*t^8.81)/y - g2^2*t^4.41*y - (g2^3*t^6.42*y)/g1 - g1*g2^11*t^6.42*y - g2^6*t^7.22*y + (t^7.41*y)/(g1^2*g2^6) + 2*g2^2*t^7.41*y + g1^2*g2^10*t^7.41*y + (t^7.59*y)/g2^2 + (g2^9*t^7.64*y)/g1 + g1*g2^17*t^7.64*y + (2*t^7.78*y)/g2^6 + (2*g2^5*t^7.83*y)/g1 + 2*g1*g2^13*t^7.83*y + (2*g2*t^8.02*y)/g1 + 2*g1*g2^9*t^8.02*y + (2*t^8.2*y)/(g1*g2^3) + 2*g1*g2^5*t^8.2*y + (2*t^8.39*y)/(g1*g2^7) + 2*g1*g2*t^8.39*y - (g2^4*t^8.44*y)/g1^2 + g2^12*t^8.44*y - g1^2*g2^20*t^8.44*y + 2*g2^8*t^8.63*y + (t^8.81*y)/(g1^2*g2^4) + 4*g2^4*t^8.81*y + g1^2*g2^12*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 46508 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6308 | 0.8213 | 0.7681 | [X:[], M:[0.6903, 0.6903, 1.0, 0.9045, 1.0477], q:[0.7619, 0.5477], qb:[0.5477, 0.2381], phi:[0.4761]] | 2*t^2.07 + 2*t^2.36 + t^2.71 + t^2.86 + t^3. + t^3.14 + 2*t^3.79 + 3*t^4.14 + 4*t^4.43 + 6*t^4.71 + 2*t^4.78 + 2*t^4.93 + 2*t^5.07 + 4*t^5.21 + 2*t^5.36 + t^5.43 + 2*t^5.5 + t^5.57 + 2*t^5.71 + 5*t^5.86 - 4*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46026 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ | 0.6271 | 0.8146 | 0.7698 | [X:[], M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]] | 2*t^2.13 + 2*t^2.32 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.77 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.03 + 4*t^5.23 + 4*t^5.32 + 2*t^5.52 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail |