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 |
|---|---|---|---|---|---|---|---|---|---|
| 2244 | 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_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_2M_7$ | 0.6465 | 0.8092 | 0.799 | [X:[], M:[1.2006, 0.8015, 0.7994, 0.7994, 0.7983, 0.8004, 1.1985], q:[0.7999, 0.3986], qb:[0.4008, 0.7999], phi:[0.4002]] | [X:[], M:[[-6], [-14], [6], [6], [16], [-4], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1q_2^2$, $ M_1$, $ M_7$, $ q_1q_2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_4M_7$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_5M_7$, $ M_5q_1q_2$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$ | $M_1M_5$, $ M_1M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_6q_1q_2$, $ \phi_1\tilde{q}_2^2$ | 2 | t^2.39 + 4*t^2.4 + t^3.59 + 3*t^3.6 + 3*t^4.79 + 13*t^4.8 + 10*t^5.99 + 2*t^6. - t^6.01 + 2*t^7.18 + 18*t^7.19 + 14*t^7.2 - t^7.21 + t^8.38 + 27*t^8.39 - 14*t^8.4 - 2*t^8.41 - t^4.2/y - (4*t^6.6)/y + (2*t^7.79)/y + (11*t^7.8)/y + t^7.81/y + (9*t^8.99)/y - t^4.2*y - 4*t^6.6*y + 2*t^7.79*y + 11*t^7.8*y + t^7.81*y + 9*t^8.99*y | g1^16*t^2.39 + (2*t^2.4)/g1^4 + 2*g1^6*t^2.4 + g1^24*t^3.59 + t^3.6/g1^6 + 2*g1^14*t^3.6 + 2*g1^22*t^4.79 + g1^32*t^4.79 + (3*t^4.8)/g1^8 + 5*g1^2*t^4.8 + 5*g1^12*t^4.8 + 5*g1^20*t^5.99 + 4*g1^30*t^5.99 + g1^40*t^5.99 - t^6. + 3*g1^10*t^6. - t^6.01/g1^20 + 2*g1^48*t^7.18 + 7*g1^18*t^7.19 + 7*g1^28*t^7.19 + 4*g1^38*t^7.19 + (2*t^7.2)/g1^12 + (4*t^7.2)/g1^2 + 8*g1^8*t^7.2 - t^7.21/g1^22 + g1^56*t^8.38 + 4*g1^16*t^8.39 + 11*g1^26*t^8.39 + 8*g1^36*t^8.39 + 4*g1^46*t^8.39 - (4*t^8.4)/g1^14 - (7*t^8.4)/g1^4 - 3*g1^6*t^8.4 - (2*t^8.41)/g1^24 - t^4.2/(g1^2*y) - (2*t^6.6)/(g1^6*y) - (g1^4*t^6.6)/y - (g1^14*t^6.6)/y + (2*g1^22*t^7.79)/y + (2*t^7.8)/(g1^8*y) + (6*g1^2*t^7.8)/y + (3*g1^12*t^7.8)/y + t^7.81/(g1^18*y) + (5*g1^20*t^8.99)/y + (3*g1^30*t^8.99)/y + (g1^40*t^8.99)/y - (t^4.2*y)/g1^2 - (2*t^6.6*y)/g1^6 - g1^4*t^6.6*y - g1^14*t^6.6*y + 2*g1^22*t^7.79*y + (2*t^7.8*y)/g1^8 + 6*g1^2*t^7.8*y + 3*g1^12*t^7.8*y + (t^7.81*y)/g1^18 + 5*g1^20*t^8.99*y + 3*g1^30*t^8.99*y + g1^40*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 4243 | $\phi_1q_1^2$ + $ 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_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_2M_7$ + $ M_1M_8$ | 0.6632 | 0.8397 | 0.7897 | [X:[], M:[1.2044, 0.8102, 0.7956, 0.7956, 0.7883, 0.8029, 1.1898, 0.7956], q:[0.7993, 0.3905], qb:[0.4051, 0.7993], phi:[0.4015]] | t^2.37 + 3*t^2.39 + 2*t^2.41 + t^3.55 + 2*t^3.57 + t^4.73 + 3*t^4.75 + 8*t^4.77 + 7*t^4.8 + 3*t^4.82 + t^5.91 + 5*t^5.93 + 7*t^5.96 + 2*t^5.98 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1210 | 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_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6635 | 0.8374 | 0.7923 | [X:[], M:[1.1924, 0.7824, 0.8076, 0.8076, 0.8201, 0.795], q:[0.8013, 0.4164], qb:[0.3912, 0.8013], phi:[0.3975]] | t^2.35 + 2*t^2.38 + 2*t^2.42 + t^2.46 + t^3.58 + t^3.65 + t^3.69 + t^4.69 + 2*t^4.73 + 5*t^4.77 + 6*t^4.81 + 5*t^4.85 + 2*t^4.88 + t^4.92 - t^4.19/y - t^4.19*y | detail |