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 |
|---|---|---|---|---|---|---|---|---|---|
| 1285 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7683 | 0.9711 | 0.7912 | [X:[], M:[0.8775, 1.0, 0.7551, 1.0, 0.8775, 0.7551, 0.6837], q:[0.5612, 0.5612], qb:[0.4388, 0.6837], phi:[0.4388]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2], [1, -5], [0, 3]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_7^2$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_3^2$, $ \phi_1q_2^2$, $ M_1M_7$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$ | $M_2^2$, $ M_4^2$ | -3 | t^2.05 + 2*t^2.27 + 3*t^2.63 + 2*t^3. + t^4.1 + 4*t^4.32 + 3*t^4.53 + 7*t^4.68 + 6*t^4.9 + 4*t^5.05 + 9*t^5.27 + t^5.42 + 2*t^5.63 - 3*t^6. + t^6.15 + 6*t^6.58 + 5*t^6.73 + 4*t^6.8 + 16*t^6.95 + 4*t^7.1 + 9*t^7.16 + 22*t^7.32 + t^7.47 + 16*t^7.53 + 8*t^7.68 + 12*t^7.9 - 6*t^8.05 + t^8.2 - 6*t^8.27 - 4*t^8.42 - 14*t^8.63 + 3*t^8.79 + 8*t^8.85 - t^4.32/y - t^6.37/y - (2*t^6.58)/y - (3*t^6.95)/y + (2*t^7.32)/y + t^7.53/y + (6*t^7.68)/y + (6*t^7.9)/y + (4*t^8.05)/y + (8*t^8.27)/y - t^8.42/y + (4*t^8.63)/y - (3*t^8.85)/y - t^4.32*y - t^6.37*y - 2*t^6.58*y - 3*t^6.95*y + 2*t^7.32*y + t^7.53*y + 6*t^7.68*y + 6*t^7.9*y + 4*t^8.05*y + 8*t^8.27*y - t^8.42*y + 4*t^8.63*y - 3*t^8.85*y | g2^3*t^2.05 + (g1*t^2.27)/g2^5 + t^2.27/(g1*g2^3) + (3*t^2.63)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^6*t^4.1 + (2*t^4.32)/g1 + (2*g1*t^4.32)/g2^2 + (g1^2*t^4.53)/g2^10 + t^4.53/g2^8 + t^4.53/(g1^2*g2^6) + (g1^2*t^4.68)/g2 + 5*g2*t^4.68 + (g2^3*t^4.68)/g1^2 + (3*g1*t^4.9)/g2^7 + (3*t^4.9)/(g1*g2^5) + 2*g1*g2^2*t^5.05 + (2*g2^4*t^5.05)/g1 + (g1^2*t^5.27)/g2^6 + (7*t^5.27)/g2^4 + t^5.27/(g1^2*g2^2) + g2^5*t^5.42 + (g1*t^5.63)/g2^3 + t^5.63/(g1*g2) - 3*t^6. + g2^9*t^6.15 + (2*g1^2*t^6.58)/g2^7 + (2*t^6.58)/g2^5 + (2*t^6.58)/(g1^2*g2^3) + g1^2*g2^2*t^6.73 + 3*g2^4*t^6.73 + (g2^6*t^6.73)/g1^2 + (g1^3*t^6.8)/g2^15 + (g1*t^6.8)/g2^13 + t^6.8/(g1*g2^11) + t^6.8/(g1^3*g2^9) + t^6.95/g1^3 + (g1^3*t^6.95)/g2^6 + (7*g1*t^6.95)/g2^4 + (7*t^6.95)/(g1*g2^2) + 2*g1*g2^5*t^7.1 + (2*g2^7*t^7.1)/g1 + (3*g1^2*t^7.16)/g2^12 + (3*t^7.16)/g2^10 + (3*t^7.16)/(g1^2*g2^8) + (5*g1^2*t^7.32)/g2^3 + (12*t^7.32)/g2 + (5*g2*t^7.32)/g1^2 + g2^8*t^7.47 + (g1^3*t^7.53)/g2^11 + (7*g1*t^7.53)/g2^9 + (7*t^7.53)/(g1*g2^7) + t^7.53/(g1^3*g2^5) + 3*g1*t^7.68 + (g1^3*t^7.68)/g2^2 + (3*g2^2*t^7.68)/g1 + (g2^4*t^7.68)/g1^3 + (g1^2*t^7.9)/g2^8 + (10*t^7.9)/g2^6 + t^7.9/(g1^2*g2^4) - g1^2*g2*t^8.05 - 4*g2^3*t^8.05 - (g2^5*t^8.05)/g1^2 + g2^12*t^8.2 - (3*g1*t^8.27)/g2^5 - (3*t^8.27)/(g1*g2^3) - 2*g1*g2^4*t^8.42 - (2*g2^6*t^8.42)/g1 - t^8.63/g1^2 - (g1^2*t^8.63)/g2^4 - (12*t^8.63)/g2^2 + g1^2*g2^5*t^8.79 + g2^7*t^8.79 + (g2^9*t^8.79)/g1^2 + (2*g1^3*t^8.85)/g2^12 + (2*g1*t^8.85)/g2^10 + (2*t^8.85)/(g1*g2^8) + (2*t^8.85)/(g1^3*g2^6) - t^4.32/(g2*y) - (g2^2*t^6.37)/y - (g1*t^6.58)/(g2^6*y) - t^6.58/(g1*g2^4*y) - (3*t^6.95)/(g2^3*y) + t^7.32/(g1*y) + (g1*t^7.32)/(g2^2*y) + t^7.53/(g2^8*y) + (6*g2*t^7.68)/y + (3*g1*t^7.9)/(g2^7*y) + (3*t^7.9)/(g1*g2^5*y) + (2*g1*g2^2*t^8.05)/y + (2*g2^4*t^8.05)/(g1*y) + (g1^2*t^8.27)/(g2^6*y) + (6*t^8.27)/(g2^4*y) + t^8.27/(g1^2*g2^2*y) - (g2^5*t^8.42)/y + (2*g1*t^8.63)/(g2^3*y) + (2*t^8.63)/(g1*g2*y) - (g1^2*t^8.85)/(g2^11*y) - t^8.85/(g2^9*y) - t^8.85/(g1^2*g2^7*y) - (t^4.32*y)/g2 - g2^2*t^6.37*y - (g1*t^6.58*y)/g2^6 - (t^6.58*y)/(g1*g2^4) - (3*t^6.95*y)/g2^3 + (t^7.32*y)/g1 + (g1*t^7.32*y)/g2^2 + (t^7.53*y)/g2^8 + 6*g2*t^7.68*y + (3*g1*t^7.9*y)/g2^7 + (3*t^7.9*y)/(g1*g2^5) + 2*g1*g2^2*t^8.05*y + (2*g2^4*t^8.05*y)/g1 + (g1^2*t^8.27*y)/g2^6 + (6*t^8.27*y)/g2^4 + (t^8.27*y)/(g1^2*g2^2) - g2^5*t^8.42*y + (2*g1*t^8.63*y)/g2^3 + (2*t^8.63*y)/(g1*g2) - (g1^2*t^8.85*y)/g2^11 - (t^8.85*y)/g2^9 - (t^8.85*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2324 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6X_1$ | 0.67 | 0.8476 | 0.7904 | [X:[1.614], M:[0.7719, 0.8421, 0.7018, 1.1579, 0.7719, 0.386, 0.8421], q:[0.7719, 0.4561], qb:[0.386, 0.8421], phi:[0.386]] | t^2.11 + 3*t^2.32 + 2*t^2.53 + t^3.47 + t^3.68 + t^3.89 + t^4.21 + 3*t^4.42 + 8*t^4.63 + 7*t^4.84 + 3*t^5.05 + t^5.58 + 2*t^5.79 + t^6. - t^4.16/y - t^4.16*y | detail | {a: 1935/2888, c: 306/361, X1: 92/57, M1: 44/57, M2: 16/19, M3: 40/57, M4: 22/19, M5: 44/57, M6: 22/57, M7: 16/19, q1: 44/57, q2: 26/57, qb1: 22/57, qb2: 16/19, phi1: 22/57} |
| 2322 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6676 | 0.842 | 0.7928 | [X:[1.5364], M:[0.8363, 1.2091, 0.4636, 0.7909, 0.8363, 0.8818, 0.7455], q:[0.3727, 0.7909], qb:[0.4182, 0.7455], phi:[0.4182]] | t^2.24 + t^2.37 + 3*t^2.51 + t^2.65 + t^3.49 + 2*t^3.63 + t^4.47 + 3*t^4.61 + 5*t^4.75 + 3*t^4.88 + 6*t^5.02 + 3*t^5.15 + t^5.29 + 2*t^5.73 + 2*t^5.86 + t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 805 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail |