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 |
|---|---|---|---|---|---|---|---|---|---|
| 672 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1q_2$ + $ M_1M_5$ | 0.644 | 0.7871 | 0.8182 | [X:[], M:[0.8593, 1.1407, 1.0076, 0.711, 1.1407], q:[0.7852, 0.5038], qb:[0.6369, 0.3555], phi:[0.4297]] | [X:[], M:[[-4], [4], [-14], [6], [4]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_4M_5$, $ M_4q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | $M_5\phi_1^2$, $ \phi_1^3\tilde{q}_2^2$ | 1 | t^2.13 + t^2.58 + t^3.02 + 4*t^3.42 + t^3.87 + 3*t^4.27 + t^4.31 + 2*t^4.71 + t^5.11 + t^5.16 + 3*t^5.56 + t^6. + t^6.05 + 2*t^6.4 + 2*t^6.44 + 7*t^6.84 + t^6.89 + t^7.24 + 2*t^7.29 + t^7.33 + 8*t^7.69 + 2*t^7.73 + t^8.13 + 2*t^8.18 + 6*t^8.53 - 2*t^8.58 + t^8.62 + 3*t^8.98 - t^4.29/y - t^6.42/y + t^7.27/y - t^7.31/y + t^7.71/y + (2*t^8.16)/y + (3*t^8.56)/y + t^8.6/y - t^4.29*y - t^6.42*y + t^7.27*y - t^7.31*y + t^7.71*y + 2*t^8.16*y + 3*t^8.56*y + t^8.6*y | g1^6*t^2.13 + t^2.58/g1^4 + t^3.02/g1^14 + 4*g1^4*t^3.42 + t^3.87/g1^6 + 3*g1^12*t^4.27 + t^4.31/g1^16 + 2*g1^2*t^4.71 + g1^20*t^5.11 + t^5.16/g1^8 + 3*g1^10*t^5.56 + t^6. + t^6.05/g1^28 + 2*g1^18*t^6.4 + (2*t^6.44)/g1^10 + 7*g1^8*t^6.84 + t^6.89/g1^20 + g1^26*t^7.24 + (2*t^7.29)/g1^2 + t^7.33/g1^30 + 8*g1^16*t^7.69 + (2*t^7.73)/g1^12 + g1^6*t^8.13 + (2*t^8.18)/g1^22 + 6*g1^24*t^8.53 - (2*t^8.58)/g1^4 + t^8.62/g1^32 + 3*g1^14*t^8.98 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y + (g1^12*t^7.27)/y - t^7.31/(g1^16*y) + (g1^2*t^7.71)/y + (2*t^8.16)/(g1^8*y) + (3*g1^10*t^8.56)/y + t^8.6/(g1^18*y) - (t^4.29*y)/g1^2 - g1^4*t^6.42*y + g1^12*t^7.27*y - (t^7.31*y)/g1^16 + g1^2*t^7.71*y + (2*t^8.16*y)/g1^8 + 3*g1^10*t^8.56*y + (t^8.6*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1974 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1q_2$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6643 | 0.8258 | 0.8045 | [X:[], M:[0.8612, 1.1388, 1.0144, 0.7081, 1.1388, 0.7081], q:[0.7847, 0.5072], qb:[0.6316, 0.3541], phi:[0.4306]] | 2*t^2.12 + t^2.58 + t^3.04 + 4*t^3.42 + 5*t^4.25 + t^4.33 + 3*t^4.71 + t^5.08 + 2*t^5.17 + 7*t^5.54 - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 414 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1q_2$ | 0.6566 | 0.8083 | 0.8123 | [X:[], M:[0.8549, 1.1451, 0.9921, 0.7177], q:[0.7863, 0.496], qb:[0.6491, 0.3588], phi:[0.4274]] | t^2.15 + 2*t^2.56 + t^2.98 + 3*t^3.44 + t^3.85 + t^4.26 + 3*t^4.31 + 3*t^4.72 + 3*t^5.13 + t^5.18 + t^5.54 + 2*t^5.59 + t^5.95 + 3*t^6. - t^4.28/y - t^4.28*y | detail |