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 |
|---|---|---|---|---|---|---|---|---|---|
| 1897 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6013 | 0.7852 | 0.7658 | [X:[], M:[0.9195, 1.2415, 0.9195, 0.7585, 0.9195], q:[0.7299, 0.3506], qb:[0.3506, 0.4078], phi:[0.5403]] | [X:[], M:[[4], [-12], [4], [12], [4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_5$, $ M_3M_5$, $ M_5^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1^3$ | $M_2M_4$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | t^2.1 + 2*t^2.28 + 3*t^2.76 + t^3.41 + 3*t^3.72 + 2*t^3.9 + t^4.07 + t^4.21 + 2*t^4.38 + 3*t^4.55 + 3*t^4.86 + 6*t^5.03 + 6*t^5.52 + 2*t^5.69 + t^5.83 + t^6. + 5*t^6.17 + t^6.31 + 2*t^6.34 + 6*t^6.48 + 6*t^6.65 + 7*t^6.83 + 3*t^7.14 + 9*t^7.31 + 3*t^7.45 + t^7.48 + 4*t^7.62 + 12*t^7.79 + t^7.93 + 5*t^7.96 - 3*t^8.1 + t^8.14 + 7*t^8.28 + t^8.42 + 8*t^8.45 + 3*t^8.62 - 5*t^8.76 + 10*t^8.93 - t^4.62/y + t^7.55/y + (5*t^7.86)/y + (6*t^8.03)/y + (4*t^8.52)/y + (2*t^8.69)/y + (3*t^8.83)/y - t^4.62*y + t^7.55*y + 5*t^7.86*y + 6*t^8.03*y + 4*t^8.52*y + 2*t^8.69*y + 3*t^8.83*y | t^2.1/g1^10 + 2*g1^12*t^2.28 + 3*g1^4*t^2.76 + g1^18*t^3.41 + (3*t^3.72)/g1^12 + 2*g1^10*t^3.9 + g1^32*t^4.07 + t^4.21/g1^20 + 2*g1^2*t^4.38 + 3*g1^24*t^4.55 + (3*t^4.86)/g1^6 + 6*g1^16*t^5.03 + 6*g1^8*t^5.52 + 2*g1^30*t^5.69 + t^5.83/g1^22 + t^6. + 5*g1^22*t^6.17 + t^6.31/g1^30 + 2*g1^44*t^6.34 + (6*t^6.48)/g1^8 + 6*g1^14*t^6.65 + 7*g1^36*t^6.83 + 3*g1^6*t^7.14 + 9*g1^28*t^7.31 + (3*t^7.45)/g1^24 + g1^50*t^7.48 + (4*t^7.62)/g1^2 + 12*g1^20*t^7.79 + t^7.93/g1^32 + 5*g1^42*t^7.96 - (3*t^8.1)/g1^10 + g1^64*t^8.14 + 7*g1^12*t^8.28 + t^8.42/g1^40 + 8*g1^34*t^8.45 + 3*g1^56*t^8.62 - 5*g1^4*t^8.76 + 10*g1^26*t^8.93 - t^4.62/(g1^2*y) + (g1^24*t^7.55)/y + (5*t^7.86)/(g1^6*y) + (6*g1^16*t^8.03)/y + (4*g1^8*t^8.52)/y + (2*g1^30*t^8.69)/y + (3*t^8.83)/(g1^22*y) - (t^4.62*y)/g1^2 + g1^24*t^7.55*y + (5*t^7.86*y)/g1^6 + 6*g1^16*t^8.03*y + 4*g1^8*t^8.52*y + 2*g1^30*t^8.69*y + (3*t^8.83*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2922 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6147 | 0.8068 | 0.7619 | [X:[], M:[0.9267, 1.2198, 0.9267, 0.7802, 0.9267, 0.8297], q:[0.7317, 0.3416], qb:[0.3416, 0.4386], phi:[0.5366]] | t^2.05 + 2*t^2.34 + t^2.49 + 3*t^2.78 + 3*t^3.66 + 2*t^3.95 + t^4.1 + t^4.24 + 2*t^4.39 + t^4.54 + 3*t^4.68 + 5*t^4.83 + t^4.98 + 6*t^5.12 + 3*t^5.27 + 5*t^5.56 + t^5.71 + t^6. - t^4.61/y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 546 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.594 | 0.7723 | 0.7691 | [X:[], M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | t^2.09 + 2*t^2.29 + 2*t^2.76 + t^3.24 + t^3.44 + 3*t^3.71 + 2*t^3.91 + t^4.12 + t^4.18 + 2*t^4.38 + 3*t^4.59 + 2*t^4.85 + 4*t^5.06 + t^5.32 + 5*t^5.53 + 2*t^5.73 + t^5.79 + 3*t^6. - t^4.62/y - t^4.62*y | detail |