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 |
|---|---|---|---|---|---|---|---|---|---|
| 1383 | 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_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.6942 | 0.85 | 0.8166 | [X:[], M:[0.9652, 1.0116, 1.0348, 0.942, 0.9652, 1.058], q:[0.4826, 0.5522], qb:[0.4826, 0.5058], phi:[0.4942]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [10]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -2 | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + 3*t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.59 + t^4.66 + t^4.8 + t^5.79 + 3*t^5.86 + 3*t^5.93 - 2*t^6. + 2*t^6.07 + 2*t^6.14 + t^6.28 + t^6.35 + 4*t^7.27 + 7*t^7.34 + 3*t^7.41 + 2*t^7.48 + 4*t^7.55 + 2*t^7.62 + 2*t^7.69 + 3*t^7.76 + t^7.83 + t^7.9 + t^7.97 + t^8.69 + 6*t^8.76 + 6*t^8.83 - 2*t^8.9 - 2*t^8.97 - t^4.48/y - t^7.38/y + t^7.59/y + t^8.79/y + (4*t^8.86)/y + (3*t^8.93)/y - t^4.48*y - t^7.38*y + t^7.59*y + t^8.79*y + 4*t^8.86*y + 3*t^8.93*y | (2*t^2.9)/g1^6 + (2*t^2.97)/g1^2 + g1^2*t^3.03 + g1^6*t^3.1 + g1^10*t^3.17 + (3*t^4.38)/g1^7 + (2*t^4.45)/g1^3 + g1*t^4.52 + 2*g1^5*t^4.59 + g1^9*t^4.66 + g1^17*t^4.8 + t^5.79/g1^12 + (3*t^5.86)/g1^8 + (3*t^5.93)/g1^4 - 2*t^6. + 2*g1^4*t^6.07 + 2*g1^8*t^6.14 + g1^16*t^6.28 + g1^20*t^6.35 + (4*t^7.27)/g1^13 + (7*t^7.34)/g1^9 + (3*t^7.41)/g1^5 + (2*t^7.48)/g1 + 4*g1^3*t^7.55 + 2*g1^7*t^7.62 + 2*g1^11*t^7.69 + 3*g1^15*t^7.76 + g1^19*t^7.83 + g1^23*t^7.9 + g1^27*t^7.97 + t^8.69/g1^18 + (6*t^8.76)/g1^14 + (6*t^8.83)/g1^10 - (2*t^8.9)/g1^6 - (2*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.38/(g1^7*y) + (g1^5*t^7.59)/y + t^8.79/(g1^12*y) + (4*t^8.86)/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.38*y)/g1^7 + g1^5*t^7.59*y + (t^8.79*y)/g1^12 + (4*t^8.86*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2451 | $M_1q_1q_2$ + $ 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_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_1$ | 0.6984 | 0.8575 | 0.8144 | [X:[], M:[0.9443, 1.0186, 1.0557, 0.9071, 0.9443, 1.0929, 0.9443], q:[0.4721, 0.5836], qb:[0.4721, 0.5093], phi:[0.4907]] | 3*t^2.83 + 2*t^2.94 + t^3.06 + t^3.28 + 3*t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + t^4.75 + t^4.97 + 4*t^5.67 + 5*t^5.78 + 4*t^5.89 - 4*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 899 | 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_5q_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail |