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 |
|---|---|---|---|---|---|---|---|---|---|
| 3131 | 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_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6635 | 0.8304 | 0.7991 | [X:[], M:[0.8173, 1.0609, 1.1827, 0.6956, 0.8173, 1.0609, 1.0434], q:[0.4174, 0.7652], qb:[0.3999, 0.5392], phi:[0.4696]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [4], [-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_1$, $ M_5$, $ M_7$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ M_2M_4$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -2 | t^2.09 + 2*t^2.45 + t^3.13 + 2*t^3.18 + t^3.5 + t^3.81 + t^3.86 + t^3.91 + t^4.17 + t^4.23 + t^4.28 + 2*t^4.54 + t^4.64 + 3*t^4.9 + t^5.22 + 2*t^5.27 + 2*t^5.58 + 3*t^5.63 + t^5.89 + 2*t^5.95 - 2*t^6. - t^6.05 + 4*t^6.26 + 4*t^6.31 + 3*t^6.37 - t^6.42 + 3*t^6.63 + 2*t^6.68 + t^6.73 + t^6.94 + 5*t^6.99 + t^7.1 + 2*t^7.3 + 6*t^7.36 + t^7.62 + 3*t^7.67 + 4*t^7.72 + t^7.98 + 4*t^8.03 + 2*t^8.09 - t^8.14 + 4*t^8.35 + 5*t^8.4 - 2*t^8.45 - 3*t^8.5 + t^8.56 + 7*t^8.71 + 5*t^8.76 + 2*t^8.82 - t^8.87 + t^8.92 - t^4.41/y - t^6.5/y - t^6.86/y + t^7.23/y + t^7.28/y + t^7.54/y - t^7.59/y + t^7.9/y + t^7.96/y + t^8.22/y + (2*t^8.27)/y + t^8.32/y + (2*t^8.58)/y + (4*t^8.63)/y + t^8.89/y + (2*t^8.95)/y - t^4.41*y - t^6.5*y - t^6.86*y + t^7.23*y + t^7.28*y + t^7.54*y - t^7.59*y + t^7.9*y + t^7.96*y + t^8.22*y + 2*t^8.27*y + t^8.32*y + 2*t^8.58*y + 4*t^8.63*y + t^8.89*y + 2*t^8.95*y | t^2.09/g1^20 + (2*t^2.45)/g1^12 + t^3.13/g1^30 + 2*g1^4*t^3.18 + t^3.5/g1^22 + t^3.81/g1^48 + t^3.86/g1^14 + g1^20*t^3.91 + t^4.17/g1^40 + t^4.23/g1^6 + g1^28*t^4.28 + (2*t^4.54)/g1^32 + g1^36*t^4.64 + (3*t^4.9)/g1^24 + t^5.22/g1^50 + (2*t^5.27)/g1^16 + (2*t^5.58)/g1^42 + (3*t^5.63)/g1^8 + t^5.89/g1^68 + (2*t^5.95)/g1^34 - 2*t^6. - g1^34*t^6.05 + (4*t^6.26)/g1^60 + (4*t^6.31)/g1^26 + 3*g1^8*t^6.37 - g1^42*t^6.42 + (3*t^6.63)/g1^52 + (2*t^6.68)/g1^18 + g1^16*t^6.73 + t^6.94/g1^78 + (5*t^6.99)/g1^44 + g1^24*t^7.1 + (2*t^7.3)/g1^70 + (6*t^7.36)/g1^36 + t^7.62/g1^96 + (3*t^7.67)/g1^62 + (4*t^7.72)/g1^28 + t^7.98/g1^88 + (4*t^8.03)/g1^54 + (2*t^8.09)/g1^20 - g1^14*t^8.14 + (4*t^8.35)/g1^80 + (5*t^8.4)/g1^46 - (2*t^8.45)/g1^12 - 3*g1^22*t^8.5 + g1^56*t^8.56 + (7*t^8.71)/g1^72 + (5*t^8.76)/g1^38 + (2*t^8.82)/g1^4 - g1^30*t^8.87 + g1^64*t^8.92 - t^4.41/(g1^2*y) - t^6.5/(g1^22*y) - t^6.86/(g1^14*y) + t^7.23/(g1^6*y) + (g1^28*t^7.28)/y + t^7.54/(g1^32*y) - (g1^2*t^7.59)/y + t^7.9/(g1^24*y) + (g1^10*t^7.96)/y + t^8.22/(g1^50*y) + (2*t^8.27)/(g1^16*y) + (g1^18*t^8.32)/y + (2*t^8.58)/(g1^42*y) + (4*t^8.63)/(g1^8*y) + t^8.89/(g1^68*y) + (2*t^8.95)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.5*y)/g1^22 - (t^6.86*y)/g1^14 + (t^7.23*y)/g1^6 + g1^28*t^7.28*y + (t^7.54*y)/g1^32 - g1^2*t^7.59*y + (t^7.9*y)/g1^24 + g1^10*t^7.96*y + (t^8.22*y)/g1^50 + (2*t^8.27*y)/g1^16 + g1^18*t^8.32*y + (2*t^8.58*y)/g1^42 + (4*t^8.63*y)/g1^8 + (t^8.89*y)/g1^68 + (2*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 5000 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6838 | 0.8683 | 0.7875 | [X:[], M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0603, 1.0481, 0.7109], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]] | t^2.1 + t^2.13 + 2*t^2.46 + t^3.14 + 2*t^3.18 + t^3.51 + t^3.83 + t^3.9 + t^4.19 + 2*t^4.23 + 2*t^4.27 + 2*t^4.55 + 2*t^4.59 + t^4.63 + 3*t^4.92 + t^5.24 + 3*t^5.28 + 2*t^5.31 + 2*t^5.6 + 4*t^5.64 + t^5.93 + 2*t^5.96 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 5001 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1^2$ | 0.6842 | 0.8706 | 0.7859 | [X:[], M:[0.8157, 1.0614, 1.1843, 0.6928, 0.8157, 1.0614, 1.0393, 0.6928], q:[0.4189, 0.7654], qb:[0.3968, 0.5418], phi:[0.4693]] | 2*t^2.08 + 2*t^2.45 + t^3.12 + 2*t^3.18 + t^3.49 + t^3.79 + t^3.85 + 3*t^4.16 + t^4.22 + t^4.29 + 4*t^4.53 + t^4.66 + 3*t^4.89 + 2*t^5.2 + 4*t^5.26 + 3*t^5.56 + 3*t^5.63 + 2*t^5.87 + 3*t^5.93 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 4999 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6837 | 0.8675 | 0.7881 | [X:[], M:[0.8233, 1.0589, 1.1767, 0.7055, 0.8233, 1.0589, 1.0583, 0.7067], q:[0.412, 0.7647], qb:[0.4114, 0.5298], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + t^3.17 + 2*t^3.18 + t^3.53 + 2*t^3.88 + 2*t^4.23 + 3*t^4.24 + 5*t^4.59 + 3*t^4.94 + 3*t^5.29 + 3*t^5.3 + 2*t^5.64 + 4*t^5.65 + t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2063 | 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_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ | 0.6694 | 0.8378 | 0.799 | [X:[], M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]] | t^2.17 + 2*t^2.5 + t^2.75 + 2*t^3.17 + t^3.58 + t^3.83 + t^3.92 + t^4. + t^4.17 + t^4.25 + t^4.33 + t^4.5 + 2*t^4.66 + t^4.92 + 3*t^5. + 2*t^5.25 + 2*t^5.33 + t^5.5 + 3*t^5.67 + t^5.92 - 2*t^6. - t^4.42/y - t^4.42*y | detail |