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 |
|---|---|---|---|---|---|---|---|---|---|
| 3414 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6742 | 0.8508 | 0.7923 | [X:[], M:[0.8217, 1.0594, 1.1783, 0.7028, 0.708, 1.0543], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | [X:[], M:[[-12], [4], [12], [-20], [14], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_2M_4$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_3M_5$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $M_4\phi_1q_1^2$ | 0 | t^2.11 + t^2.12 + t^2.47 + t^2.82 + t^3.16 + t^3.18 + t^3.52 + t^3.53 + t^3.86 + t^3.89 + t^4.22 + 2*t^4.23 + 2*t^4.25 + t^4.57 + t^4.59 + t^4.6 + 2*t^4.93 + t^4.95 + t^5.27 + 3*t^5.29 + t^5.3 + t^5.63 + 3*t^5.64 + t^5.66 + t^5.97 + 2*t^5.98 + 3*t^6.33 + 3*t^6.34 + 3*t^6.36 + t^6.37 + 3*t^6.68 + 2*t^6.7 + 3*t^6.71 + t^6.73 + t^7.02 + 2*t^7.04 + 2*t^7.05 + 2*t^7.07 + 2*t^7.38 + 4*t^7.4 + 2*t^7.41 + 2*t^7.43 + t^7.72 + t^7.74 + 4*t^7.75 + 3*t^7.77 + t^7.78 + t^8.08 + 3*t^8.09 + 2*t^8.11 - 2*t^8.12 + t^8.14 + 3*t^8.43 + 5*t^8.45 + 4*t^8.47 + 2*t^8.5 + 4*t^8.79 + 4*t^8.81 + t^8.82 + 2*t^8.84 + 2*t^8.85 - t^4.41/y - t^6.52/y - t^6.53/y + t^7.23/y + t^7.25/y + t^7.59/y + t^7.93/y + t^7.95/y + t^8.27/y + (4*t^8.29)/y + (2*t^8.3)/y + t^8.63/y + (2*t^8.64)/y + t^8.97/y + (3*t^8.98)/y - t^4.41*y - t^6.52*y - t^6.53*y + t^7.23*y + t^7.25*y + t^7.59*y + t^7.93*y + t^7.95*y + t^8.27*y + 4*t^8.29*y + 2*t^8.3*y + t^8.63*y + 2*t^8.64*y + t^8.97*y + 3*t^8.98*y | t^2.11/g1^20 + g1^14*t^2.12 + t^2.47/g1^12 + t^2.82/g1^4 + t^3.16/g1^30 + g1^4*t^3.18 + t^3.52/g1^22 + g1^12*t^3.53 + t^3.86/g1^48 + g1^20*t^3.89 + t^4.22/g1^40 + (2*t^4.23)/g1^6 + 2*g1^28*t^4.25 + t^4.57/g1^32 + g1^2*t^4.59 + g1^36*t^4.6 + (2*t^4.93)/g1^24 + g1^10*t^4.95 + t^5.27/g1^50 + (3*t^5.29)/g1^16 + g1^18*t^5.3 + t^5.63/g1^42 + (3*t^5.64)/g1^8 + g1^26*t^5.66 + t^5.97/g1^68 + (2*t^5.98)/g1^34 + (3*t^6.33)/g1^60 + (3*t^6.34)/g1^26 + 3*g1^8*t^6.36 + g1^42*t^6.37 + (3*t^6.68)/g1^52 + (2*t^6.7)/g1^18 + 3*g1^16*t^6.71 + g1^50*t^6.73 + t^7.02/g1^78 + (2*t^7.04)/g1^44 + (2*t^7.05)/g1^10 + 2*g1^24*t^7.07 + (2*t^7.38)/g1^70 + (4*t^7.4)/g1^36 + (2*t^7.41)/g1^2 + 2*g1^32*t^7.43 + t^7.72/g1^96 + t^7.74/g1^62 + (4*t^7.75)/g1^28 + 3*g1^6*t^7.77 + g1^40*t^7.78 + t^8.08/g1^88 + (3*t^8.09)/g1^54 + (2*t^8.11)/g1^20 - 2*g1^14*t^8.12 + g1^48*t^8.14 + (3*t^8.43)/g1^80 + (5*t^8.45)/g1^46 + (4*t^8.47)/g1^12 + 2*g1^56*t^8.5 + (4*t^8.79)/g1^72 + (4*t^8.81)/g1^38 + t^8.82/g1^4 + 2*g1^30*t^8.84 + 2*g1^64*t^8.85 - t^4.41/(g1^2*y) - t^6.52/(g1^22*y) - (g1^12*t^6.53)/y + t^7.23/(g1^6*y) + (g1^28*t^7.25)/y + (g1^2*t^7.59)/y + t^7.93/(g1^24*y) + (g1^10*t^7.95)/y + t^8.27/(g1^50*y) + (4*t^8.29)/(g1^16*y) + (2*g1^18*t^8.3)/y + t^8.63/(g1^42*y) + (2*t^8.64)/(g1^8*y) + t^8.97/(g1^68*y) + (3*t^8.98)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.52*y)/g1^22 - g1^12*t^6.53*y + (t^7.23*y)/g1^6 + g1^28*t^7.25*y + g1^2*t^7.59*y + (t^7.93*y)/g1^24 + g1^10*t^7.95*y + (t^8.27*y)/g1^50 + (4*t^8.29*y)/g1^16 + 2*g1^18*t^8.3*y + (t^8.63*y)/g1^42 + (2*t^8.64*y)/g1^8 + (t^8.97*y)/g1^68 + (3*t^8.98*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3903 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.6797 | 0.8604 | 0.79 | [X:[], M:[0.8196, 1.0601, 1.1804, 0.6994, 0.7104, 1.0491, 0.9399], q:[0.4153, 0.765], qb:[0.4043, 0.5356], phi:[0.4699]] | t^2.1 + t^2.13 + t^2.46 + 2*t^2.82 + t^3.15 + t^3.51 + t^3.54 + t^3.84 + t^3.9 + t^4.2 + 2*t^4.23 + 2*t^4.26 + t^4.56 + t^4.59 + t^4.62 + 3*t^4.92 + 2*t^4.95 + t^5.25 + 3*t^5.28 + t^5.61 + 4*t^5.64 + t^5.67 + t^5.93 + 3*t^5.97 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 3905 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6946 | 0.8898 | 0.7806 | [X:[], M:[0.8261, 1.058, 1.1739, 0.7101, 0.7029, 1.0651, 0.6958], q:[0.4095, 0.7645], qb:[0.4166, 0.5254], phi:[0.471]] | t^2.09 + t^2.11 + t^2.13 + t^2.48 + t^2.83 + t^3.17 + t^3.2 + t^3.52 + t^3.54 + t^3.87 + t^4.17 + t^4.2 + 3*t^4.22 + 2*t^4.24 + t^4.26 + 2*t^4.57 + t^4.59 + t^4.61 + t^4.91 + t^4.93 + 2*t^4.96 + t^5.26 + 2*t^5.28 + 3*t^5.3 + t^5.33 + t^5.61 + 2*t^5.63 + 3*t^5.65 + t^5.67 + t^5.96 - t^4.41/y - t^4.41*y | detail | |
| 3904 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_1$ | 0.6894 | 0.8769 | 0.7862 | [X:[], M:[0.8299, 1.0567, 1.1701, 0.7164, 0.6985, 1.0747, 0.8119], q:[0.406, 0.7642], qb:[0.4239, 0.5194], phi:[0.4716]] | t^2.1 + t^2.15 + t^2.44 + t^2.49 + t^2.83 + t^3.17 + t^3.22 + t^3.51 + t^3.85 + t^3.96 + 2*t^4.19 + 2*t^4.24 + t^4.3 + 2*t^4.53 + 2*t^4.59 + t^4.64 + t^4.87 + 2*t^4.93 + 2*t^4.98 + 2*t^5.27 + 3*t^5.32 + t^5.37 + 2*t^5.61 + 3*t^5.66 + t^5.95 - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2851 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6809 | 0.8616 | 0.7903 | [X:[], M:[0.8369, 1.0544, 1.1631, 0.7282, 0.6903], q:[0.3995, 0.7636], qb:[0.4374, 0.5082], phi:[0.4728]] | t^2.07 + t^2.18 + t^2.51 + t^2.72 + t^2.84 + t^3.16 + t^3.49 + t^3.6 + t^3.82 + t^4.04 + 2*t^4.14 + 2*t^4.26 + t^4.37 + t^4.47 + t^4.58 + t^4.7 + t^4.79 + 2*t^4.91 + 2*t^5.02 + 2*t^5.23 + 2*t^5.35 + t^5.45 + 2*t^5.56 + 3*t^5.67 + t^5.89 - t^4.42/y - t^4.42*y | detail |