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 |
|---|---|---|---|---|---|---|---|---|---|
| 3392 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ | 0.6704 | 0.8481 | 0.7904 | [X:[], M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | [X:[], M:[[18], [-2], [28], [-12], [12], [-12]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2^2$, $ M_3\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$ | 0 | t^2.09 + t^2.2 + t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.69 + t^3.8 + t^4.19 + t^4.3 + 2*t^4.41 + 2*t^4.52 + 4*t^4.62 + 3*t^4.73 + 4*t^4.84 + 2*t^4.95 + 3*t^5.06 + t^5.67 + t^5.78 + t^5.89 + 2*t^6.11 + 2*t^6.22 + t^6.28 + 2*t^6.33 + t^6.39 + 2*t^6.5 + 3*t^6.61 + 5*t^6.72 + 5*t^6.83 + 7*t^6.94 + 5*t^7.05 + 7*t^7.16 + 4*t^7.27 + 5*t^7.38 + 2*t^7.48 + 4*t^7.59 + t^7.76 + t^7.87 + t^7.98 - t^8.09 - t^8.31 + t^8.37 - t^8.42 + t^8.48 - 2*t^8.53 + 2*t^8.59 + 2*t^8.64 + 3*t^8.7 + 2*t^8.75 + 6*t^8.81 + 3*t^8.86 + 6*t^8.92 - t^4.16/y - t^6.25/y - t^6.36/y - t^6.47/y - t^6.58/y - t^6.69/y + t^7.3/y + t^7.41/y + (2*t^7.52)/y + (4*t^7.62)/y + (4*t^7.73)/y + (3*t^7.84)/y + (3*t^7.95)/y + (2*t^8.06)/y - t^8.34/y - t^8.45/y - (2*t^8.56)/y - t^8.67/y - t^8.78/y + t^8.89/y - t^4.16*y - t^6.25*y - t^6.36*y - t^6.47*y - t^6.58*y - t^6.69*y + t^7.3*y + t^7.41*y + 2*t^7.52*y + 4*t^7.62*y + 4*t^7.73*y + 3*t^7.84*y + 3*t^7.95*y + 2*t^8.06*y - t^8.34*y - t^8.45*y - 2*t^8.56*y - t^8.67*y - t^8.78*y + t^8.89*y | g1^28*t^2.09 + g1^18*t^2.2 + g1^8*t^2.31 + t^2.42/g1^2 + (2*t^2.53)/g1^12 + g1^2*t^3.58 + t^3.69/g1^8 + t^3.8/g1^18 + g1^56*t^4.19 + g1^46*t^4.3 + 2*g1^36*t^4.41 + 2*g1^26*t^4.52 + 4*g1^16*t^4.62 + 3*g1^6*t^4.73 + (4*t^4.84)/g1^4 + (2*t^4.95)/g1^14 + (3*t^5.06)/g1^24 + g1^30*t^5.67 + g1^20*t^5.78 + g1^10*t^5.89 + (2*t^6.11)/g1^10 + (2*t^6.22)/g1^20 + g1^84*t^6.28 + (2*t^6.33)/g1^30 + g1^74*t^6.39 + 2*g1^64*t^6.5 + 3*g1^54*t^6.61 + 5*g1^44*t^6.72 + 5*g1^34*t^6.83 + 7*g1^24*t^6.94 + 5*g1^14*t^7.05 + 7*g1^4*t^7.16 + (4*t^7.27)/g1^6 + (5*t^7.38)/g1^16 + (2*t^7.48)/g1^26 + (4*t^7.59)/g1^36 + g1^58*t^7.76 + g1^48*t^7.87 + g1^38*t^7.98 - g1^28*t^8.09 - g1^8*t^8.31 + g1^112*t^8.37 - t^8.42/g1^2 + g1^102*t^8.48 - (2*t^8.53)/g1^12 + 2*g1^92*t^8.59 + (2*t^8.64)/g1^22 + 3*g1^82*t^8.7 + (2*t^8.75)/g1^32 + 6*g1^72*t^8.81 + (3*t^8.86)/g1^42 + 6*g1^62*t^8.92 - (g1^4*t^4.16)/y - (g1^32*t^6.25)/y - (g1^22*t^6.36)/y - (g1^12*t^6.47)/y - (g1^2*t^6.58)/y - t^6.69/(g1^8*y) + (g1^46*t^7.3)/y + (g1^36*t^7.41)/y + (2*g1^26*t^7.52)/y + (4*g1^16*t^7.62)/y + (4*g1^6*t^7.73)/y + (3*t^7.84)/(g1^4*y) + (3*t^7.95)/(g1^14*y) + (2*t^8.06)/(g1^24*y) - (g1^60*t^8.34)/y - (g1^50*t^8.45)/y - (2*g1^40*t^8.56)/y - (g1^30*t^8.67)/y - (g1^20*t^8.78)/y + (g1^10*t^8.89)/y - g1^4*t^4.16*y - g1^32*t^6.25*y - g1^22*t^6.36*y - g1^12*t^6.47*y - g1^2*t^6.58*y - (t^6.69*y)/g1^8 + g1^46*t^7.3*y + g1^36*t^7.41*y + 2*g1^26*t^7.52*y + 4*g1^16*t^7.62*y + 4*g1^6*t^7.73*y + (3*t^7.84*y)/g1^4 + (3*t^7.95*y)/g1^14 + (2*t^8.06*y)/g1^24 - g1^60*t^8.34*y - g1^50*t^8.45*y - 2*g1^40*t^8.56*y - g1^30*t^8.67*y - g1^20*t^8.78*y + g1^10*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 |
|---|---|---|---|---|---|---|---|---|
| 3878 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6885 | 0.881 | 0.7815 | [X:[], M:[0.7282, 0.808, 0.6883, 0.8479, 1.1521, 0.8479, 0.7681], q:[0.8678, 0.404], qb:[0.4439, 0.7481], phi:[0.384]] | t^2.06 + t^2.18 + 2*t^2.3 + t^2.42 + 2*t^2.54 + t^3.58 + t^3.82 + t^4.13 + t^4.25 + 3*t^4.37 + 3*t^4.49 + 6*t^4.61 + 4*t^4.73 + 6*t^4.85 + 2*t^4.97 + 3*t^5.09 + t^5.64 + t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 3875 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1q_2^2$ | 0.6864 | 0.8761 | 0.7835 | [X:[], M:[0.7363, 0.8071, 0.7008, 0.8425, 1.1575, 0.8425, 0.8071], q:[0.8602, 0.4035], qb:[0.439, 0.754], phi:[0.3858]] | t^2.1 + t^2.21 + t^2.32 + 2*t^2.42 + 2*t^2.53 + t^3.68 + t^3.79 + t^4.21 + t^4.31 + 2*t^4.42 + 3*t^4.52 + 5*t^4.63 + 4*t^4.74 + 6*t^4.84 + 4*t^4.95 + 3*t^5.05 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 3880 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6901 | 0.8854 | 0.7795 | [X:[], M:[0.7257, 0.8083, 0.6845, 0.8495, 1.1505, 0.8495, 0.7257], q:[0.8701, 0.4041], qb:[0.4454, 0.7464], phi:[0.3835]] | t^2.05 + 2*t^2.18 + t^2.3 + t^2.42 + 2*t^2.55 + t^3.58 + t^3.7 + t^4.11 + 2*t^4.23 + 4*t^4.35 + 3*t^4.48 + 5*t^4.6 + 5*t^4.73 + 4*t^4.85 + 2*t^4.97 + 3*t^5.1 + t^5.63 + 2*t^5.75 + t^5.88 - t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2841 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail |