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 |
|---|---|---|---|---|---|---|---|---|---|
| 5147 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6684 | 0.8438 | 0.7921 | [X:[], M:[0.8064, 1.2255, 0.7427, 0.8382, 0.7109, 1.1618, 0.8382, 0.8064], q:[0.7586, 0.435], qb:[0.4032, 0.8541], phi:[0.3873]] | [X:[], M:[[2], [8], [-18], [12], [-28], [-12], [12], [2]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_8$, $ M_4$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_1M_5$, $ M_5M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_8$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ M_4M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_5\phi_1q_2^2$ | $M_3\phi_1q_2^2$ | -2 | t^2.13 + t^2.23 + 2*t^2.42 + 2*t^2.51 + 2*t^3.68 + t^3.77 + t^4.27 + t^4.36 + t^4.46 + 2*t^4.55 + 4*t^4.65 + 2*t^4.74 + 4*t^4.84 + 4*t^4.93 + 3*t^5.03 + t^5.81 + t^5.9 - 2*t^6. + 2*t^6.1 + 5*t^6.19 + 2*t^6.29 + t^6.4 + t^6.49 + t^6.59 + 3*t^6.68 + 4*t^6.78 + 4*t^6.88 + 5*t^6.97 + 6*t^7.07 + 4*t^7.16 + 5*t^7.26 + 7*t^7.35 + 6*t^7.45 + 4*t^7.54 + t^7.94 - 2*t^8.13 - 2*t^8.23 + t^8.32 - 5*t^8.42 - 2*t^8.51 + t^8.53 + 4*t^8.61 + t^8.63 + 7*t^8.71 + t^8.72 + 3*t^8.8 + 3*t^8.82 + 5*t^8.91 - t^4.16/y - t^6.29/y - t^6.39/y - (2*t^6.58)/y - t^6.68/y + t^7.36/y + (2*t^7.55)/y + (5*t^7.65)/y + (4*t^7.74)/y + t^7.84/y + (5*t^7.93)/y + (2*t^8.03)/y - t^8.43/y - t^8.52/y - t^8.62/y - (2*t^8.71)/y - t^8.81/y + (2*t^8.9)/y - t^4.16*y - t^6.29*y - t^6.39*y - 2*t^6.58*y - t^6.68*y + t^7.36*y + 2*t^7.55*y + 5*t^7.65*y + 4*t^7.74*y + t^7.84*y + 5*t^7.93*y + 2*t^8.03*y - t^8.43*y - t^8.52*y - t^8.62*y - 2*t^8.71*y - t^8.81*y + 2*t^8.9*y | t^2.13/g1^28 + t^2.23/g1^18 + 2*g1^2*t^2.42 + 2*g1^12*t^2.51 + 2*g1^8*t^3.68 + g1^18*t^3.77 + t^4.27/g1^56 + t^4.36/g1^46 + t^4.46/g1^36 + (2*t^4.55)/g1^26 + (4*t^4.65)/g1^16 + (2*t^4.74)/g1^6 + 4*g1^4*t^4.84 + 4*g1^14*t^4.93 + 3*g1^24*t^5.03 + t^5.81/g1^20 + t^5.9/g1^10 - 2*t^6. + 2*g1^10*t^6.1 + 5*g1^20*t^6.19 + 2*g1^30*t^6.29 + t^6.4/g1^84 + t^6.49/g1^74 + t^6.59/g1^64 + (3*t^6.68)/g1^54 + (4*t^6.78)/g1^44 + (4*t^6.88)/g1^34 + (5*t^6.97)/g1^24 + (6*t^7.07)/g1^14 + (4*t^7.16)/g1^4 + 5*g1^6*t^7.26 + 7*g1^16*t^7.35 + 6*g1^26*t^7.45 + 4*g1^36*t^7.54 + t^7.94/g1^48 - (2*t^8.13)/g1^28 - (2*t^8.23)/g1^18 + t^8.32/g1^8 - 5*g1^2*t^8.42 - 2*g1^12*t^8.51 + t^8.53/g1^112 + 4*g1^22*t^8.61 + t^8.63/g1^102 + 7*g1^32*t^8.71 + t^8.72/g1^92 + 3*g1^42*t^8.8 + (3*t^8.82)/g1^82 + (5*t^8.91)/g1^72 - t^4.16/(g1^4*y) - t^6.29/(g1^32*y) - t^6.39/(g1^22*y) - (2*t^6.58)/(g1^2*y) - (g1^8*t^6.68)/y + t^7.36/(g1^46*y) + (2*t^7.55)/(g1^26*y) + (5*t^7.65)/(g1^16*y) + (4*t^7.74)/(g1^6*y) + (g1^4*t^7.84)/y + (5*g1^14*t^7.93)/y + (2*g1^24*t^8.03)/y - t^8.43/(g1^60*y) - t^8.52/(g1^50*y) - t^8.62/(g1^40*y) - (2*t^8.71)/(g1^30*y) - t^8.81/(g1^20*y) + (2*t^8.9)/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.29*y)/g1^32 - (t^6.39*y)/g1^22 - (2*t^6.58*y)/g1^2 - g1^8*t^6.68*y + (t^7.36*y)/g1^46 + (2*t^7.55*y)/g1^26 + (5*t^7.65*y)/g1^16 + (4*t^7.74*y)/g1^6 + g1^4*t^7.84*y + 5*g1^14*t^7.93*y + 2*g1^24*t^8.03*y - (t^8.43*y)/g1^60 - (t^8.52*y)/g1^50 - (t^8.62*y)/g1^40 - (2*t^8.71*y)/g1^30 - (t^8.81*y)/g1^20 + (2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 6724 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.6879 | 0.8801 | 0.7817 | [X:[], M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.8447, 0.8075, 0.7329], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]] | t^2.09 + 2*t^2.2 + 2*t^2.42 + 2*t^2.53 + 2*t^3.69 + t^4.17 + 2*t^4.29 + 3*t^4.4 + 2*t^4.51 + 6*t^4.62 + 4*t^4.73 + 4*t^4.84 + 4*t^4.96 + 3*t^5.07 + t^5.78 + 2*t^5.89 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3474 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ | 0.6523 | 0.8156 | 0.7998 | [X:[], M:[0.8066, 1.2264, 0.7407, 0.8395, 0.7077, 1.1605, 0.8395], q:[0.7572, 0.4362], qb:[0.4033, 0.856], phi:[0.3868]] | t^2.12 + t^2.22 + t^2.42 + 2*t^2.52 + t^3.58 + 2*t^3.68 + t^3.78 + t^4.25 + t^4.35 + t^4.44 + t^4.54 + 3*t^4.64 + 2*t^4.74 + 2*t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.7 + 2*t^5.8 + t^5.9 - t^6. - t^4.16/y - t^4.16*y | detail |