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 |
|---|---|---|---|---|---|---|---|---|---|
| 5416 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_3M_8$ | 0.6161 | 0.7735 | 0.7966 | [X:[1.3621], M:[0.6379, 1.1207, 0.7989, 1.0402, 0.9598, 0.681, 0.8793, 1.2011], q:[0.7802, 0.5819], qb:[0.6193, 0.2601], phi:[0.4397]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [18], [-12], [20]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_2$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_7q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5M_7$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_8$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4M_7$, $ M_4\phi_1^2$ | . | -2 | t^2.04 + t^2.53 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + t^3.84 + 2*t^4.09 + t^4.2 + t^4.57 + 2*t^4.68 + t^4.81 + t^4.92 + t^5.05 + 3*t^5.16 + 3*t^5.28 + t^5.41 + 2*t^5.52 + 2*t^5.65 + 2*t^5.76 - 2*t^6. - t^6.11 + 3*t^6.13 + 2*t^6.24 - t^6.35 + t^6.37 + t^6.48 - t^6.59 + 2*t^6.61 + 5*t^6.72 + t^6.84 + t^6.85 + t^6.97 - t^7.08 + t^7.09 + 3*t^7.21 + t^7.32 + t^7.34 - t^7.43 + 3*t^7.45 + t^7.58 + 6*t^7.69 + 4*t^7.8 + 3*t^7.91 + 2*t^7.93 - t^8.04 + t^8.16 + 4*t^8.17 + 4*t^8.28 + 2*t^8.4 + t^8.41 + t^8.51 - 3*t^8.53 - 6*t^8.64 + 4*t^8.66 - 2*t^8.75 + 4*t^8.77 - 2*t^8.88 + 3*t^8.9 - 2*t^8.99 - t^4.32/y - t^6.36/y - t^6.96/y + t^7.57/y + (3*t^7.68)/y + t^7.92/y + (3*t^8.16)/y + (2*t^8.28)/y + (2*t^8.52)/y + (2*t^8.65)/y + (2*t^8.76)/y + t^8.89/y - t^4.32*y - t^6.36*y - t^6.96*y + t^7.57*y + 3*t^7.68*y + t^7.92*y + 3*t^8.16*y + 2*t^8.28*y + 2*t^8.52*y + 2*t^8.65*y + 2*t^8.76*y + t^8.89*y | g1^18*t^2.04 + g1^34*t^2.53 + (2*t^2.64)/g1^12 + t^2.88/g1^4 + g1^4*t^3.12 + g1^20*t^3.6 + g1^28*t^3.84 + 2*g1^36*t^4.09 + t^4.2/g1^10 + g1^52*t^4.57 + 2*g1^6*t^4.68 + g1^60*t^4.81 + g1^14*t^4.92 + g1^68*t^5.05 + 3*g1^22*t^5.16 + (3*t^5.28)/g1^24 + g1^30*t^5.41 + (2*t^5.52)/g1^16 + 2*g1^38*t^5.65 + (2*t^5.76)/g1^8 - 2*t^6. - t^6.11/g1^46 + 3*g1^54*t^6.13 + 2*g1^8*t^6.24 - t^6.35/g1^38 + g1^62*t^6.37 + g1^16*t^6.48 - t^6.59/g1^30 + 2*g1^70*t^6.61 + 5*g1^24*t^6.72 + t^6.84/g1^22 + g1^78*t^6.85 + g1^32*t^6.97 - t^7.08/g1^14 + g1^86*t^7.09 + 3*g1^40*t^7.21 + t^7.32/g1^6 + g1^94*t^7.34 - t^7.43/g1^52 + 3*g1^48*t^7.45 + g1^102*t^7.58 + 6*g1^56*t^7.69 + 4*g1^10*t^7.8 + (3*t^7.91)/g1^36 + 2*g1^64*t^7.93 - g1^18*t^8.04 + t^8.16/g1^28 + 4*g1^72*t^8.17 + 4*g1^26*t^8.28 + (2*t^8.4)/g1^20 + g1^80*t^8.41 + t^8.51/g1^66 - 3*g1^34*t^8.53 - (6*t^8.64)/g1^12 + 4*g1^88*t^8.66 - (2*t^8.75)/g1^58 + 4*g1^42*t^8.77 - (2*t^8.88)/g1^4 + 3*g1^96*t^8.9 - (2*t^8.99)/g1^50 - t^4.32/(g1^6*y) - (g1^12*t^6.36)/y - t^6.96/(g1^18*y) + (g1^52*t^7.57)/y + (3*g1^6*t^7.68)/y + (g1^14*t^7.92)/y + (3*g1^22*t^8.16)/y + (2*t^8.28)/(g1^24*y) + (2*t^8.52)/(g1^16*y) + (2*g1^38*t^8.65)/y + (2*t^8.76)/(g1^8*y) + (g1^46*t^8.89)/y - (t^4.32*y)/g1^6 - g1^12*t^6.36*y - (t^6.96*y)/g1^18 + g1^52*t^7.57*y + 3*g1^6*t^7.68*y + g1^14*t^7.92*y + 3*g1^22*t^8.16*y + (2*t^8.28*y)/g1^24 + (2*t^8.52*y)/g1^16 + 2*g1^38*t^8.65*y + (2*t^8.76*y)/g1^8 + g1^46*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 6901 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_3M_8$ + $ M_4M_9$ | 0.6199 | 0.7793 | 0.7955 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959, 0.6843, 0.8771, 1.2048, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.05 + t^2.54 + 2*t^2.63 + 2*t^2.88 + t^3.61 + t^3.86 + 2*t^4.11 + t^4.19 + t^4.6 + 2*t^4.68 + t^4.84 + 2*t^4.93 + t^5.09 + 2*t^5.18 + 3*t^5.26 + 2*t^5.42 + 4*t^5.51 + t^5.67 + 2*t^5.75 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3823 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[0.6179, 1.1274, 0.7877, 1.0425, 0.9575, 0.691, 0.8726], q:[0.7818, 0.6002], qb:[0.612, 0.2606], phi:[0.4363]] | t^2.07 + t^2.36 + t^2.58 + 2*t^2.62 + t^2.87 + t^3.13 + t^3.89 + 2*t^4.15 + t^4.18 + t^4.44 + t^4.66 + 2*t^4.69 + t^4.73 + t^4.91 + 2*t^4.95 + 2*t^4.98 + t^5.17 + 3*t^5.2 + 4*t^5.24 + t^5.46 + 3*t^5.49 + t^5.71 + 2*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*y | detail |