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 |
|---|---|---|---|---|---|---|---|---|---|
| 1951 | 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$ + $ \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]] | [X:[], M:[[1, 1], [-1, -1], [-1, 1], [1, -1], [0, 0], [0, 0]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_1M_6$, $ M_2M_6$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_4$, $ M_2M_4$, $ M_2^2$, $ M_4^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ | $\phi_1q_1^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$ | 9 | 6*t^2.4 + 3*t^3.6 + 22*t^4.8 + 9*t^6. + 51*t^7.2 + 5*t^8.4 - t^4.2/y - (5*t^6.6)/y + (20*t^7.8)/y - t^4.2*y - 5*t^6.6*y + 20*t^7.8*y | 2*t^2.4 + t^2.4/(g1*g2) + (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + g1*g2*t^2.4 + t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + 6*t^4.8 + t^4.8/g1^2 + g1^2*t^4.8 + t^4.8/g2^2 + t^4.8/(g1^2*g2^2) + (g1^2*t^4.8)/g2^2 + (2*t^4.8)/(g1*g2) + (2*g1*t^4.8)/g2 + (2*g2*t^4.8)/g1 + 2*g1*g2*t^4.8 + g2^2*t^4.8 + (g2^2*t^4.8)/g1^2 + g1^2*g2^2*t^4.8 - t^6. + t^6./g1^2 + g1^2*t^6. + t^6./(g1^3*g2) + t^6./(g1*g2) + (g1*t^6.)/g2 + (g1^3*t^6.)/g2 + (g2*t^6.)/g1^3 + (g2*t^6.)/g1 + g1*g2*t^6. + g1^3*g2*t^6. + 7*t^7.2 + t^7.2/g1^4 + t^7.2/g1^2 + g1^2*t^7.2 + g1^4*t^7.2 + t^7.2/(g1^3*g2^3) + t^7.2/(g1*g2^3) + (g1*t^7.2)/g2^3 + (g1^3*t^7.2)/g2^3 + (2*t^7.2)/g2^2 + (2*t^7.2)/(g1^2*g2^2) + (2*g1^2*t^7.2)/g2^2 + t^7.2/(g1^3*g2) + (4*t^7.2)/(g1*g2) + (4*g1*t^7.2)/g2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 + (4*g2*t^7.2)/g1 + 4*g1*g2*t^7.2 + g1^3*g2*t^7.2 + 2*g2^2*t^7.2 + (2*g2^2*t^7.2)/g1^2 + 2*g1^2*g2^2*t^7.2 + (g2^3*t^7.2)/g1^3 + (g2^3*t^7.2)/g1 + g1*g2^3*t^7.2 + g1^3*g2^3*t^7.2 - 3*t^8.4 + t^8.4/g1^4 + (2*t^8.4)/g1^2 + 2*g1^2*t^8.4 + g1^4*t^8.4 + t^8.4/g2^2 + t^8.4/(g1^4*g2^2) + t^8.4/(g1^2*g2^2) + (g1^2*t^8.4)/g2^2 + (g1^4*t^8.4)/g2^2 + t^8.4/(g1^3*g2) - (3*t^8.4)/(g1*g2) - (3*g1*t^8.4)/g2 + (g1^3*t^8.4)/g2 + (g2*t^8.4)/g1^3 - (3*g2*t^8.4)/g1 - 3*g1*g2*t^8.4 + g1^3*g2*t^8.4 + g2^2*t^8.4 + (g2^2*t^8.4)/g1^4 + (g2^2*t^8.4)/g1^2 + g1^2*g2^2*t^8.4 + g1^4*g2^2*t^8.4 - t^4.2/y - t^6.6/y - t^6.6/(g1*g2*y) - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - (g1*g2*t^6.6)/y + (4*t^7.8)/y + t^7.8/(g1^2*y) + (g1^2*t^7.8)/y + t^7.8/(g2^2*y) + (3*t^7.8)/(g1*g2*y) + (3*g1*t^7.8)/(g2*y) + (3*g2*t^7.8)/(g1*y) + (3*g1*g2*t^7.8)/y + (g2^2*t^7.8)/y - t^4.2*y - t^6.6*y - (t^6.6*y)/(g1*g2) - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - g1*g2*t^6.6*y + 4*t^7.8*y + (t^7.8*y)/g1^2 + g1^2*t^7.8*y + (t^7.8*y)/g2^2 + (3*t^7.8*y)/(g1*g2) + (3*g1*t^7.8*y)/g2 + (3*g2*t^7.8*y)/g1 + 3*g1*g2*t^7.8*y + g2^2*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2997 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6795 | 0.867 | 0.7837 | [X:[], M:[0.8, 0.8, 0.8, 0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.4, 0.8], phi:[0.4]] | 7*t^2.4 + 2*t^3.6 + 29*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1359/2000, c: 867/1000, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, M7: 4/5, q1: 4/5, q2: 2/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
| 2996 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6806 | 0.8702 | 0.782 | [X:[], M:[0.8175, 0.7825, 0.7825, 0.8175, 1.2, 0.8, 0.7651], q:[0.8, 0.3825], qb:[0.4175, 0.8], phi:[0.4]] | t^2.3 + 2*t^2.35 + 2*t^2.4 + 2*t^2.45 + t^3.5 + t^3.6 + t^4.59 + 2*t^4.64 + 5*t^4.7 + 6*t^4.75 + 8*t^4.8 + 4*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 2*t^5.95 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.38/y - t^4.38*y | detail |