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 |
|---|---|---|---|---|---|---|---|---|---|
| 1642 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7197 | 0.9131 | 0.7882 | [X:[], M:[0.9705, 1.1242, 0.9705, 0.6863, 0.8758, 0.7811, 0.6863], q:[0.7811, 0.4379], qb:[0.5916, 0.4379], phi:[0.4379]] | [X:[], M:[[9], [-4], [9], [-6], [4], [-1], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6^2$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5M_6$, $ M_1M_7$, $ M_3M_7$, $ M_6\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_7q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$ | -2 | 2*t^2.06 + t^2.34 + 2*t^2.63 + 2*t^2.91 + t^3.66 + t^3.94 + 4*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.86 + 6*t^4.97 + 5*t^5.25 + 2*t^5.54 + 2*t^5.72 + 3*t^5.82 - 2*t^6. + 6*t^6.18 + t^6.28 + 6*t^6.46 + 3*t^6.57 + 10*t^6.75 + 2*t^6.92 + 13*t^7.03 + t^7.21 + 10*t^7.31 + t^7.49 + 8*t^7.6 + 2*t^7.77 + 12*t^7.88 - 6*t^8.06 + 5*t^8.17 + 8*t^8.24 - 4*t^8.34 + 3*t^8.45 + 9*t^8.52 - 3*t^8.63 + 4*t^8.73 + 14*t^8.8 - 6*t^8.91 + 4*t^8.98 - t^4.31/y - (2*t^6.37)/y - t^6.66/y - t^6.94/y + t^7.12/y - (2*t^7.23)/y + (4*t^7.4)/y + (5*t^7.69)/y + (7*t^7.97)/y + (5*t^8.25)/y - (3*t^8.43)/y + (4*t^8.54)/y + t^8.82/y - t^4.31*y - 2*t^6.37*y - t^6.66*y - t^6.94*y + t^7.12*y - 2*t^7.23*y + 4*t^7.4*y + 5*t^7.69*y + 7*t^7.97*y + 5*t^8.25*y - 3*t^8.43*y + 4*t^8.54*y + t^8.82*y | (2*t^2.06)/g1^6 + t^2.34/g1 + 2*g1^4*t^2.63 + 2*g1^9*t^2.91 + g1*t^3.66 + g1^6*t^3.94 + (4*t^4.12)/g1^12 + (4*t^4.4)/g1^7 + (5*t^4.69)/g1^2 + t^4.86/g1^20 + 6*g1^3*t^4.97 + 5*g1^8*t^5.25 + 2*g1^13*t^5.54 + (2*t^5.72)/g1^5 + 3*g1^18*t^5.82 - 2*t^6. + (6*t^6.18)/g1^18 + g1^5*t^6.28 + (6*t^6.46)/g1^13 + 3*g1^10*t^6.57 + (10*t^6.75)/g1^8 + (2*t^6.92)/g1^26 + (13*t^7.03)/g1^3 + t^7.21/g1^21 + 10*g1^2*t^7.31 + t^7.49/g1^16 + 8*g1^7*t^7.6 + (2*t^7.77)/g1^11 + 12*g1^12*t^7.88 - (6*t^8.06)/g1^6 + 5*g1^17*t^8.17 + (8*t^8.24)/g1^24 - (4*t^8.34)/g1 + 3*g1^22*t^8.45 + (9*t^8.52)/g1^19 - 3*g1^4*t^8.63 + 4*g1^27*t^8.73 + (14*t^8.8)/g1^14 - 6*g1^9*t^8.91 + (4*t^8.98)/g1^32 - (g1^2*t^4.31)/y - (2*t^6.37)/(g1^4*y) - (g1*t^6.66)/y - (g1^6*t^6.94)/y + t^7.12/(g1^12*y) - (2*g1^11*t^7.23)/y + (4*t^7.4)/(g1^7*y) + (5*t^7.69)/(g1^2*y) + (7*g1^3*t^7.97)/y + (5*g1^8*t^8.25)/y - (3*t^8.43)/(g1^10*y) + (4*g1^13*t^8.54)/y + (g1^18*t^8.82)/y - g1^2*t^4.31*y - (2*t^6.37*y)/g1^4 - g1*t^6.66*y - g1^6*t^6.94*y + (t^7.12*y)/g1^12 - 2*g1^11*t^7.23*y + (4*t^7.4*y)/g1^7 + (5*t^7.69*y)/g1^2 + 7*g1^3*t^7.97*y + 5*g1^8*t^8.25*y - (3*t^8.43*y)/g1^10 + 4*g1^13*t^8.54*y + g1^18*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4035 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7404 | 0.9536 | 0.7764 | [X:[], M:[0.9728, 1.1232, 0.9728, 0.6848, 0.8768, 0.7808, 0.6848, 0.6848], q:[0.7808, 0.4384], qb:[0.5888, 0.4384], phi:[0.4384]] | 3*t^2.05 + t^2.34 + 2*t^2.63 + 2*t^2.92 + t^3.66 + 7*t^4.11 + 5*t^4.4 + 7*t^4.68 + t^4.85 + 8*t^4.97 + 5*t^5.26 + 2*t^5.55 + 3*t^5.71 + 3*t^5.84 - 4*t^6. - t^4.32/y - t^4.32*y | detail | {a: 1173671/1585176, c: 755813/792588, M1: 250/257, M2: 866/771, M3: 250/257, M4: 176/257, M5: 676/771, M6: 602/771, M7: 176/257, M8: 176/257, q1: 602/771, q2: 338/771, qb1: 454/771, qb2: 338/771, phi1: 338/771} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1056 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.699 | 0.8728 | 0.8008 | [X:[], M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.06 + t^2.34 + 2*t^2.62 + 2*t^2.9 + t^3.66 + 2*t^3.94 + 2*t^4.13 + 3*t^4.41 + 3*t^4.69 + t^4.88 + 4*t^4.97 + 5*t^5.25 + 2*t^5.53 + t^5.72 + 3*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail |