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 |
|---|---|---|---|---|---|---|---|---|---|
| 4467 | 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_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6547 | 0.8192 | 0.7993 | [X:[1.5533], M:[0.4467, 1.1844, 0.7767, 0.8933, 0.8156, 0.7767, 0.8544, 1.1067], q:[0.7961, 0.7572], qb:[0.4661, 0.3495], phi:[0.4078]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [6], [-14], [24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_8$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5^2$, $ M_3M_7$, $ M_6M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_8$, $ M_6M_8$, $ M_3q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_5M_8$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_7M_8$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$ | . | -4 | 2*t^2.33 + 2*t^2.45 + t^2.56 + 2*t^3.32 + t^3.79 + t^4.02 + t^4.54 + 4*t^4.66 + 3*t^4.78 + 6*t^4.89 + 2*t^5.01 + 3*t^5.65 + 5*t^5.77 + t^5.88 - 4*t^6. + t^6.12 + t^6.23 + t^6.35 + 2*t^6.47 + t^6.58 + 3*t^6.64 - t^6.87 + 6*t^6.99 + 6*t^7.11 + 6*t^7.22 + 8*t^7.34 + 4*t^7.46 - t^7.57 + t^7.81 + 2*t^7.86 + 5*t^7.98 + t^8.04 + 4*t^8.1 + 8*t^8.21 - 5*t^8.33 - 8*t^8.45 - 4*t^8.56 + 3*t^8.68 + t^8.8 + 4*t^8.91 + 4*t^8.97 - t^4.22/y - (2*t^6.55)/y - t^6.67/y - t^6.79/y + (2*t^7.66)/y + (5*t^7.78)/y + (5*t^7.89)/y + (2*t^8.01)/y + (4*t^8.65)/y + (4*t^8.77)/y - t^8.88/y - t^4.22*y - 2*t^6.55*y - t^6.67*y - t^6.79*y + 2*t^7.66*y + 5*t^7.78*y + 5*t^7.89*y + 2*t^8.01*y + 4*t^8.65*y + 4*t^8.77*y - t^8.88*y | 2*g1^6*t^2.33 + (2*t^2.45)/g1^4 + t^2.56/g1^14 + 2*g1^24*t^3.32 + t^3.79/g1^16 + t^4.02/g1^36 + g1^22*t^4.54 + 4*g1^12*t^4.66 + 3*g1^2*t^4.78 + (6*t^4.89)/g1^8 + (2*t^5.01)/g1^18 + 3*g1^30*t^5.65 + 5*g1^20*t^5.77 + g1^10*t^5.88 - 4*t^6. + t^6.12/g1^10 + t^6.23/g1^20 + t^6.35/g1^30 + (2*t^6.47)/g1^40 + t^6.58/g1^50 + 3*g1^48*t^6.64 - g1^28*t^6.87 + 6*g1^18*t^6.99 + 6*g1^8*t^7.11 + (6*t^7.22)/g1^2 + (8*t^7.34)/g1^12 + (4*t^7.46)/g1^22 - t^7.57/g1^32 + t^7.81/g1^52 + 2*g1^46*t^7.86 + 5*g1^36*t^7.98 + t^8.04/g1^72 + 4*g1^26*t^8.1 + 8*g1^16*t^8.21 - 5*g1^6*t^8.33 - (8*t^8.45)/g1^4 - (4*t^8.56)/g1^14 + (3*t^8.68)/g1^24 + t^8.8/g1^34 + (4*t^8.91)/g1^44 + 4*g1^54*t^8.97 - t^4.22/(g1^2*y) - (2*g1^4*t^6.55)/y - t^6.67/(g1^6*y) - t^6.79/(g1^16*y) + (2*g1^12*t^7.66)/y + (5*g1^2*t^7.78)/y + (5*t^7.89)/(g1^8*y) + (2*t^8.01)/(g1^18*y) + (4*g1^30*t^8.65)/y + (4*g1^20*t^8.77)/y - (g1^10*t^8.88)/y - (t^4.22*y)/g1^2 - 2*g1^4*t^6.55*y - (t^6.67*y)/g1^6 - (t^6.79*y)/g1^16 + 2*g1^12*t^7.66*y + 5*g1^2*t^7.78*y + (5*t^7.89*y)/g1^8 + (2*t^8.01*y)/g1^18 + 4*g1^30*t^8.65*y + 4*g1^20*t^8.77*y - g1^10*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 5968 | $M_1q_1q_2$ + $ 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_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ + $ M_9q_1\tilde{q}_1$ | 0.6744 | 0.8559 | 0.7879 | [X:[1.5476], M:[0.4524, 1.1825, 0.7738, 0.9048, 0.8175, 0.7738, 0.8612, 1.0952, 0.7301], q:[0.7956, 0.752], qb:[0.4743, 0.3432], phi:[0.4087]] | t^2.19 + 2*t^2.32 + 2*t^2.45 + t^2.58 + 2*t^3.29 + t^4.07 + t^4.38 + 3*t^4.51 + 6*t^4.64 + 4*t^4.77 + 6*t^4.9 + 2*t^5.04 + 2*t^5.48 + 3*t^5.61 + 5*t^5.74 + t^5.87 - 4*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2423 | 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_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6661 | 0.8389 | 0.794 | [X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.8089, 0.7867, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]] | 2*t^2.36 + 2*t^2.43 + t^2.49 + t^2.56 + t^3.44 + t^3.71 + t^3.84 + t^4.65 + 4*t^4.72 + 3*t^4.79 + 6*t^4.85 + 4*t^4.92 + 2*t^4.99 + t^5.05 + t^5.12 + t^5.8 + 3*t^5.87 - 3*t^6. - t^4.21/y - t^4.21*y | detail |