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 |
|---|---|---|---|---|---|---|---|---|---|
| 1212 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ | 0.6301 | 0.7792 | 0.8086 | [X:[], M:[1.1962, 0.7912, 0.8038, 0.8038, 1.2088, 0.8038], q:[0.8006, 0.4082], qb:[0.3956, 0.8006], phi:[0.3987]] | [X:[], M:[[-6], [-14], [6], [6], [14], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_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$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -2 | t^2.39 + 3*t^2.41 + t^3.57 + t^3.61 + 2*t^3.63 + t^3.65 + t^4.78 + 4*t^4.8 + 6*t^4.82 + t^5.98 - 2*t^6. + 3*t^6.02 + 6*t^6.04 + 3*t^6.06 + t^7.14 - t^7.16 - t^7.18 + 2*t^7.2 + 6*t^7.22 + 9*t^7.23 + 3*t^7.25 + 2*t^7.27 + t^7.29 - 2*t^8.37 - 3*t^8.39 - 7*t^8.41 + 6*t^8.43 + 12*t^8.45 + 6*t^8.47 - t^4.2/y - t^6.59/y - (2*t^6.61)/y + (2*t^7.78)/y + (4*t^7.8)/y + (3*t^7.82)/y + t^8.96/y + (2*t^8.98)/y - t^4.2*y - t^6.59*y - 2*t^6.61*y + 2*t^7.78*y + 4*t^7.8*y + 3*t^7.82*y + t^8.96*y + 2*t^8.98*y | t^2.39/g1^4 + 3*g1^6*t^2.41 + t^3.57/g1^16 + g1^4*t^3.61 + 2*g1^14*t^3.63 + g1^24*t^3.65 + t^4.78/g1^8 + 4*g1^2*t^4.8 + 6*g1^12*t^4.82 + t^5.98/g1^10 - 2*t^6. + 3*g1^10*t^6.02 + 6*g1^20*t^6.04 + 3*g1^30*t^6.06 + t^7.14/g1^32 - t^7.16/g1^22 - t^7.18/g1^12 + (2*t^7.2)/g1^2 + 6*g1^8*t^7.22 + 9*g1^18*t^7.23 + 3*g1^28*t^7.25 + 2*g1^38*t^7.27 + g1^48*t^7.29 - (2*t^8.37)/g1^14 - (3*t^8.39)/g1^4 - 7*g1^6*t^8.41 + 6*g1^16*t^8.43 + 12*g1^26*t^8.45 + 6*g1^36*t^8.47 - t^4.2/(g1^2*y) - t^6.59/(g1^6*y) - (2*g1^4*t^6.61)/y + (2*t^7.78)/(g1^8*y) + (4*g1^2*t^7.8)/y + (3*g1^12*t^7.82)/y + t^8.96/(g1^20*y) + (2*t^8.98)/(g1^10*y) - (t^4.2*y)/g1^2 - (t^6.59*y)/g1^6 - 2*g1^4*t^6.61*y + (2*t^7.78*y)/g1^8 + 4*g1^2*t^7.8*y + 3*g1^12*t^7.82*y + (t^8.96*y)/g1^20 + (2*t^8.98*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2254 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6487 | 0.8115 | 0.7994 | [X:[], M:[1.185, 0.7649, 0.815, 0.815, 1.2351, 0.815, 0.7398], q:[0.8025, 0.4326], qb:[0.3825, 0.8025], phi:[0.395]] | t^2.22 + t^2.37 + 3*t^2.45 + t^3.48 + t^3.63 + 2*t^3.71 + t^4.44 + t^4.59 + 3*t^4.66 + t^4.74 + 4*t^4.82 + 6*t^4.89 + t^5.7 + t^5.85 + 3*t^5.92 - 2*t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 738 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ | 0.614 | 0.75 | 0.8186 | [X:[], M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | t^2.38 + 2*t^2.43 + t^3.53 + t^3.57 + t^3.62 + 2*t^3.66 + t^3.7 + t^4.77 + 3*t^4.81 + 3*t^4.85 + t^5.96 - t^4.19/y - t^4.19*y | detail |