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 |
|---|---|---|---|---|---|---|---|---|---|
| 608 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]] | [X:[], M:[[4, 6, 1], [0, -2, -1], [6, 4, 1], [-2, 0, -1], [-2, -2, 0], [2, 2, 0]], q:[[-6, -6, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[1, 1, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_4$, $ M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$ | . | -8 | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. + t^6.47 + 14*t^6.91 + 10*t^7.38 + t^7.41 + 6*t^7.85 + 40*t^8.29 - 3*t^8.33 - 33*t^8.76 + 3*t^8.8 - t^4.38/y - (5*t^7.15)/y + (5*t^7.62)/y + (15*t^8.53)/y - t^4.38*y - 5*t^7.15*y + 5*t^7.62*y + 15*t^8.53*y | 2*g1^2*g2^2*t^2.76 + t^2.76/(g1^2*g3) + t^2.76/(g2^2*g3) + g1^6*g2^4*g3*t^2.76 + g1^4*g2^6*g3*t^2.76 + t^3.71/(g1^6*g2^6) + g1^5*g2*t^4.15 + g1^3*g2^3*t^4.15 + g1*g2^5*t^4.15 + t^4.62/(g1^3*g2^5*g3) + t^4.62/(g1^5*g2^3*g3) + g1^3*g2*g3*t^4.62 + g1*g2^3*g3*t^4.62 + t^5.09/(g1^5*g2^5) + t^5.09/(g1^11*g2^11*g3^2) + g1*g2*g3^2*t^5.09 + g1^6*g2^2*t^5.53 + 5*g1^4*g2^4*t^5.53 + g1^2*g2^6*t^5.53 + t^5.53/(g1^4*g3^2) + t^5.53/(g2^4*g3^2) + t^5.53/(g1^2*g2^2*g3^2) + (g1^2*t^5.53)/g3 + (g2^2*t^5.53)/g3 + g1^8*g2^6*g3*t^5.53 + g1^6*g2^8*g3*t^5.53 + g1^12*g2^8*g3^2*t^5.53 + g1^10*g2^10*g3^2*t^5.53 + g1^8*g2^12*g3^2*t^5.53 - 4*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - t^6./(g1^6*g2^6*g3^2) - g1^6*g2^6*g3^2*t^6. + t^6.47/(g1^4*g2^4) + 2*g1^7*g2^3*t^6.91 + 2*g1^5*g2^5*t^6.91 + 2*g1^3*g2^7*t^6.91 + (g1^5*t^6.91)/(g2*g3) + (g1^3*g2*t^6.91)/g3 + (g1*g2^3*t^6.91)/g3 + (g2^5*t^6.91)/(g1*g3) + g1^11*g2^5*g3*t^6.91 + g1^9*g2^7*g3*t^6.91 + g1^7*g2^9*g3*t^6.91 + g1^5*g2^11*g3*t^6.91 + t^7.38/(g1^3*g2^7*g3^2) + t^7.38/(g1^5*g2^5*g3^2) + t^7.38/(g1^7*g2^3*g3^2) + t^7.38/(g1*g2^3*g3) + t^7.38/(g1^3*g2*g3) + g1^5*g2^3*g3*t^7.38 + g1^3*g2^5*g3*t^7.38 + g1^9*g2^5*g3^2*t^7.38 + g1^7*g2^7*g3^2*t^7.38 + g1^5*g2^9*g3^2*t^7.38 + t^7.41/(g1^12*g2^12) + t^7.85/(g1^11*g2^13*g3^3) + t^7.85/(g1^13*g2^11*g3^3) + t^7.85/(g1^9*g2^9*g3^2) + g1^3*g2^3*g3^2*t^7.85 + g1^7*g2^5*g3^3*t^7.85 + g1^5*g2^7*g3^3*t^7.85 + g1^10*g2^2*t^8.29 + g1^8*g2^4*t^8.29 + 6*g1^6*g2^6*t^8.29 + g1^4*g2^8*t^8.29 + g1^2*g2^10*t^8.29 + t^8.29/(g1^6*g3^3) + t^8.29/(g2^6*g3^3) + t^8.29/(g1^2*g2^4*g3^3) + t^8.29/(g1^4*g2^2*g3^3) + t^8.29/g3^2 + (g1^2*t^8.29)/(g2^2*g3^2) + (g2^2*t^8.29)/(g1^2*g3^2) + (g1^6*t^8.29)/g3 + (3*g1^4*g2^2*t^8.29)/g3 + (3*g1^2*g2^4*t^8.29)/g3 + (g2^6*t^8.29)/g3 + g1^12*g2^6*g3*t^8.29 + 3*g1^10*g2^8*g3*t^8.29 + 3*g1^8*g2^10*g3*t^8.29 + g1^6*g2^12*g3*t^8.29 + g1^14*g2^10*g3^2*t^8.29 + g1^12*g2^12*g3^2*t^8.29 + g1^10*g2^14*g3^2*t^8.29 + g1^18*g2^12*g3^3*t^8.29 + g1^16*g2^14*g3^3*t^8.29 + g1^14*g2^16*g3^3*t^8.29 + g1^12*g2^18*g3^3*t^8.29 - t^8.33/(g1^7*g2^7) - t^8.33/(g1^13*g2^13*g3^2) - (g3^2*t^8.33)/(g1*g2) - 2*g1^4*t^8.76 - 7*g1^2*g2^2*t^8.76 - 2*g2^4*t^8.76 - t^8.76/(g1^6*g2^8*g3^3) - t^8.76/(g1^8*g2^6*g3^3) - t^8.76/(g1^4*g2^4*g3^2) - (4*t^8.76)/(g1^2*g3) - (4*t^8.76)/(g2^2*g3) - 4*g1^6*g2^4*g3*t^8.76 - 4*g1^4*g2^6*g3*t^8.76 - g1^8*g2^8*g3^2*t^8.76 - g1^12*g2^10*g3^3*t^8.76 - g1^10*g2^12*g3^3*t^8.76 + t^8.8/(g1^11*g2^11) + t^8.8/(g1^17*g2^17*g3^2) + (g3^2*t^8.8)/(g1^5*g2^5) - (g1*g2*t^4.38)/y - (g1^3*g2^3*t^7.15)/y - (g1*t^7.15)/(g2*g3*y) - (g2*t^7.15)/(g1*g3*y) - (g1^7*g2^5*g3*t^7.15)/y - (g1^5*g2^7*g3*t^7.15)/y + t^7.62/(g1*g2*y) + t^7.62/(g1^3*g2^5*g3*y) + t^7.62/(g1^5*g2^3*g3*y) + (g1^3*g2*g3*t^7.62)/y + (g1*g2^3*g3*t^7.62)/y + (g1^6*g2^2*t^8.53)/y + (3*g1^4*g2^4*t^8.53)/y + (g1^2*g2^6*t^8.53)/y + t^8.53/(g1^2*g2^2*g3^2*y) + (2*g1^2*t^8.53)/(g3*y) + (2*g2^2*t^8.53)/(g3*y) + (2*g1^8*g2^6*g3*t^8.53)/y + (2*g1^6*g2^8*g3*t^8.53)/y + (g1^10*g2^10*g3^2*t^8.53)/y - g1*g2*t^4.38*y - g1^3*g2^3*t^7.15*y - (g1*t^7.15*y)/(g2*g3) - (g2*t^7.15*y)/(g1*g3) - g1^7*g2^5*g3*t^7.15*y - g1^5*g2^7*g3*t^7.15*y + (t^7.62*y)/(g1*g2) + (t^7.62*y)/(g1^3*g2^5*g3) + (t^7.62*y)/(g1^5*g2^3*g3) + g1^3*g2*g3*t^7.62*y + g1*g2^3*g3*t^7.62*y + g1^6*g2^2*t^8.53*y + 3*g1^4*g2^4*t^8.53*y + g1^2*g2^6*t^8.53*y + (t^8.53*y)/(g1^2*g2^2*g3^2) + (2*g1^2*t^8.53*y)/g3 + (2*g2^2*t^8.53*y)/g3 + 2*g1^8*g2^6*g3*t^8.53*y + 2*g1^6*g2^8*g3*t^8.53*y + g1^10*g2^10*g3^2*t^8.53*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 |
|---|---|---|---|---|---|---|---|---|
| 1951 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.663 | 0.838 | 0.7912 | [X:[], M:[0.8, 0.8, 0.8, 0.8, 1.2, 0.8], q:[0.8, 0.4], qb:[0.4, 0.8], phi:[0.4]] | 6*t^2.4 + 3*t^3.6 + 22*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 663/1000, c: 419/500, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, q1: 4/5, q2: 2/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 372 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*y | detail |