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 |
|---|---|---|---|---|---|---|---|---|---|
| 3847 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ | 0.6664 | 0.8485 | 0.7854 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.7434], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [2], [2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_1$, $ M_2$, $ M_5$, $ \phi_1^2$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_1M_6$, $ M_2M_6$, $ M_5M_6$, $ M_1M_7$, $ M_2M_7$, $ M_5M_7$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_5$, $ M_2M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_6\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_1$ | -1 | 2*t^2.23 + 4*t^2.4 + 2*t^3.43 + t^3.6 + 3*t^4.46 + 8*t^4.63 + 11*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - 2*t^6.17 + 4*t^6.69 + 15*t^6.86 + 20*t^7.03 + 16*t^7.2 - 4*t^7.37 + 6*t^7.89 + 15*t^8.06 + 10*t^8.23 - 16*t^8.4 - 10*t^8.57 + 5*t^8.92 - t^4.2/y - (2*t^6.43)/y - (3*t^6.6)/y + t^7.46/y + (8*t^7.63)/y + (9*t^7.8)/y + (2*t^7.97)/y + t^8.66/y + (4*t^8.83)/y - t^4.2*y - 2*t^6.43*y - 3*t^6.6*y + t^7.46*y + 8*t^7.63*y + 9*t^7.8*y + 2*t^7.97*y + t^8.66*y + 4*t^8.83*y | 2*g1^2*t^2.23 + 4*t^2.4 + 2*g1^2*t^3.43 + t^3.6 + 3*g1^4*t^4.46 + 8*g1^2*t^4.63 + 11*t^4.8 + 4*g1^4*t^5.66 + 8*g1^2*t^5.83 - t^6. - (2*t^6.17)/g1^2 + 4*g1^6*t^6.69 + 15*g1^4*t^6.86 + 20*g1^2*t^7.03 + 16*t^7.2 - (4*t^7.37)/g1^2 + 6*g1^6*t^7.89 + 15*g1^4*t^8.06 + 10*g1^2*t^8.23 - 16*t^8.4 - (10*t^8.57)/g1^2 + 5*g1^8*t^8.92 - t^4.2/y - (2*g1^2*t^6.43)/y - (3*t^6.6)/y + (g1^4*t^7.46)/y + (8*g1^2*t^7.63)/y + (9*t^7.8)/y + (2*t^7.97)/(g1^2*y) + (g1^4*t^8.66)/y + (4*g1^2*t^8.83)/y - t^4.2*y - 2*g1^2*t^6.43*y - 3*t^6.6*y + g1^4*t^7.46*y + 8*g1^2*t^7.63*y + 9*t^7.8*y + (2*t^7.97*y)/g1^2 + g1^4*t^8.66*y + 4*g1^2*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 5448 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6829 | 0.8775 | 0.7783 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.7434, 0.8], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | 2*t^2.23 + 5*t^2.4 + 2*t^3.43 + 3*t^4.46 + 10*t^4.63 + 16*t^4.8 + 4*t^5.66 + 8*t^5.83 - 5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3378 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6476 | 0.8122 | 0.7972 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7651], q:[0.3825, 0.8175], qb:[0.4175, 0.7825], phi:[0.4]] | t^2.3 + 4*t^2.4 + 2*t^3.5 + t^3.6 + t^3.7 + t^4.59 + 4*t^4.7 + 11*t^4.8 + 2*t^5.79 + 7*t^5.9 - t^4.2/y - t^4.2*y | detail |