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 |
|---|---|---|---|---|---|---|---|---|---|
| 1865 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6393 | 0.7913 | 0.808 | [X:[1.4928], M:[0.8612, 1.2153, 0.5072, 0.7847, 0.8612], q:[0.3541, 0.7847], qb:[0.4306, 0.7081], phi:[0.4306]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$ | 1 | t^2.35 + 3*t^2.58 + t^3.19 + t^3.42 + 2*t^3.65 + t^3.88 + 2*t^4.48 + 2*t^4.71 + 2*t^4.94 + 5*t^5.17 + 2*t^5.54 + 3*t^5.77 + t^6. + 3*t^6.23 + t^6.37 + 2*t^6.46 + t^6.6 + t^6.83 + 4*t^7.06 + 3*t^7.29 + 3*t^7.52 + 2*t^7.67 + 9*t^7.75 + 2*t^7.89 + 4*t^8.12 + 2*t^8.35 - 2*t^8.58 + 2*t^8.73 + 2*t^8.81 + 4*t^8.96 - t^4.29/y - (3*t^6.88)/y + (3*t^7.71)/y + (3*t^7.94)/y + (3*t^8.17)/y + t^8.54/y + (4*t^8.77)/y - t^4.29*y - 3*t^6.88*y + 3*t^7.71*y + 3*t^7.94*y + 3*t^8.17*y + t^8.54*y + 4*t^8.77*y | g1*t^2.35 + (3*t^2.58)/g1^4 + g1^9*t^3.19 + g1^4*t^3.42 + (2*t^3.65)/g1 + t^3.88/g1^6 + 2*g1^7*t^4.48 + 2*g1^2*t^4.71 + (2*t^4.94)/g1^3 + (5*t^5.17)/g1^8 + 2*g1^10*t^5.54 + 3*g1^5*t^5.77 + t^6. + (3*t^6.23)/g1^5 + g1^18*t^6.37 + (2*t^6.46)/g1^10 + g1^13*t^6.6 + g1^8*t^6.83 + 4*g1^3*t^7.06 + (3*t^7.29)/g1^2 + (3*t^7.52)/g1^7 + 2*g1^16*t^7.67 + (9*t^7.75)/g1^12 + 2*g1^11*t^7.89 + 4*g1^6*t^8.12 + 2*g1*t^8.35 - (2*t^8.58)/g1^4 + 2*g1^19*t^8.73 + (2*t^8.81)/g1^9 + 4*g1^14*t^8.96 - t^4.29/(g1^2*y) - (3*t^6.88)/(g1^6*y) + (3*g1^2*t^7.71)/y + (3*t^7.94)/(g1^3*y) + (3*t^8.17)/(g1^8*y) + (g1^10*t^8.54)/y + (4*g1^5*t^8.77)/y - (t^4.29*y)/g1^2 - (3*t^6.88*y)/g1^6 + 3*g1^2*t^7.71*y + (3*t^7.94*y)/g1^3 + (3*t^8.17*y)/g1^8 + g1^10*t^8.54*y + 4*g1^5*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 2876 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1q_1^2$ | 0.6522 | 0.8132 | 0.802 | [X:[1.5182], M:[0.8467, 1.2117, 0.4818, 0.7883, 0.8467, 0.8467], q:[0.365, 0.7883], qb:[0.4234, 0.7299], phi:[0.4234]] | t^2.36 + 4*t^2.54 + t^3.28 + 2*t^3.64 + t^3.81 + 2*t^4.55 + 2*t^4.73 + 3*t^4.91 + 9*t^5.08 + 2*t^5.65 + 3*t^5.82 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 2877 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6598 | 0.8306 | 0.7944 | [X:[1.4837], M:[0.8664, 1.2166, 0.5163, 0.7834, 0.8664, 0.7003], q:[0.3502, 0.7834], qb:[0.4332, 0.7003], phi:[0.4332]] | t^2.1 + t^2.35 + 3*t^2.6 + t^3.15 + t^3.4 + 2*t^3.65 + t^4.2 + 3*t^4.45 + 5*t^4.7 + 2*t^4.95 + 5*t^5.2 + t^5.25 + 3*t^5.5 + 5*t^5.75 + t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 515 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |