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 |
|---|---|---|---|---|---|---|---|---|---|
| 3346 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6191 | 0.7561 | 0.8187 | [X:[1.614], M:[0.386, 1.2281, 1.1579, 0.7018, 0.8421, 0.807], q:[0.8596, 0.7544], qb:[0.4386, 0.4035], phi:[0.386]] | [X:[[4]], M:[[-4], [8], [-12], [-28], [12], [2]], q:[[17], [-13]], qb:[[11], [1]], phi:[[-4]]] | 1 | {a: 10727/17328, c: 6551/8664, X1: 92/57, M1: 22/57, M2: 70/57, M3: 22/19, M4: 40/57, M5: 16/19, M6: 46/57, q1: 49/57, q2: 43/57, qb1: 25/57, qb2: 23/57, phi1: 22/57} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ X_1$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$ | . | -1 | t^2.11 + t^2.42 + t^2.53 + t^3.47 + t^3.58 + 2*t^3.68 + 2*t^3.79 + t^4.21 + t^4.53 + t^4.63 + 2*t^4.84 + t^4.95 + t^5.05 + t^5.58 + t^5.68 + t^5.79 + t^5.89 - t^6. + t^6.11 + 3*t^6.21 + 3*t^6.32 + t^6.63 + t^6.74 + 2*t^6.95 + t^7.16 + 2*t^7.26 + 3*t^7.37 + 3*t^7.47 + 3*t^7.58 + t^7.68 + t^7.79 + t^7.89 + t^8. - t^8.11 + 2*t^8.32 - t^8.42 - t^8.53 + 2*t^8.63 + 3*t^8.74 + 3*t^8.84 - t^4.16/y - t^6.26/y - t^6.58/y + t^7.53/y + t^7.63/y + t^7.74/y + t^7.95/y + t^8.05/y - t^8.37/y + t^8.58/y + (2*t^8.79)/y + (3*t^8.89)/y - t^4.16*y - t^6.26*y - t^6.58*y + t^7.53*y + t^7.63*y + t^7.74*y + t^7.95*y + t^8.05*y - t^8.37*y + t^8.58*y + 2*t^8.79*y + 3*t^8.89*y | t^2.11/g1^28 + g1^2*t^2.42 + g1^12*t^2.53 + t^3.47/g1^12 + t^3.58/g1^2 + 2*g1^8*t^3.68 + 2*g1^18*t^3.79 + t^4.21/g1^56 + t^4.53/g1^26 + t^4.63/g1^16 + 2*g1^4*t^4.84 + g1^14*t^4.95 + g1^24*t^5.05 + t^5.58/g1^40 + t^5.68/g1^30 + t^5.79/g1^20 + t^5.89/g1^10 - t^6. + g1^10*t^6.11 + 3*g1^20*t^6.21 + t^6.32/g1^84 + 2*g1^30*t^6.32 + t^6.63/g1^54 + t^6.74/g1^44 + (2*t^6.95)/g1^24 + t^7.16/g1^4 + 2*g1^6*t^7.26 + 3*g1^16*t^7.37 + 3*g1^26*t^7.47 + 3*g1^36*t^7.58 + t^7.68/g1^68 + t^7.79/g1^58 + t^7.89/g1^48 + t^8./g1^38 - t^8.11/g1^28 + (2*t^8.32)/g1^8 + t^8.42/g1^112 - 2*g1^2*t^8.42 - g1^12*t^8.53 + 2*g1^22*t^8.63 + t^8.74/g1^82 + 2*g1^32*t^8.74 + t^8.84/g1^72 + 2*g1^42*t^8.84 - t^4.16/(g1^4*y) - t^6.26/(g1^32*y) - t^6.58/(g1^2*y) + t^7.53/(g1^26*y) + t^7.63/(g1^16*y) + t^7.74/(g1^6*y) + (g1^14*t^7.95)/y + (g1^24*t^8.05)/y - t^8.37/(g1^60*y) + t^8.58/(g1^40*y) + (2*t^8.79)/(g1^20*y) + (3*t^8.89)/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.26*y)/g1^32 - (t^6.58*y)/g1^2 + (t^7.53*y)/g1^26 + (t^7.63*y)/g1^16 + (t^7.74*y)/g1^6 + g1^14*t^7.95*y + g1^24*t^8.05*y - (t^8.37*y)/g1^60 + (t^8.58*y)/g1^40 + (2*t^8.79*y)/g1^20 + (3*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 3794 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_6M_7$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 1.2291, 1.1563, 0.698, 0.8437, 0.8073, 1.1927], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.09 + t^2.53 + t^3.47 + 2*t^3.58 + 2*t^3.69 + 2*t^3.8 + t^4.19 + t^4.63 + t^4.84 + t^5.06 + t^5.56 + 2*t^5.67 + t^5.78 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3795 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6351 | 0.7843 | 0.8098 | [X:[1.6135], M:[0.3865, 1.227, 1.1595, 0.7055, 0.8405, 0.8067, 0.8067], q:[0.8574, 0.7561], qb:[0.4371, 0.4034], phi:[0.3865]] | t^2.12 + 2*t^2.42 + t^2.52 + t^3.48 + 2*t^3.68 + 2*t^3.78 + t^4.23 + 2*t^4.54 + t^4.64 + 4*t^4.84 + 2*t^4.94 + t^5.04 + t^5.6 + t^5.8 + 2*t^5.9 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2817 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 1.2284, 1.1574, 0.7007, 0.8426, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + t^3.68 + 2*t^3.69 + t^3.9 + t^4.2 + t^4.41 + t^4.62 + t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + t^5.77 + t^5.78 + t^5.79 + 3*t^5.99 - 2*t^6. - t^4.16/y - t^4.16*y | detail |