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 |
|---|---|---|---|---|---|---|---|---|---|
| 1827 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.6202 | 0.7595 | 0.8166 | [X:[1.6143], M:[1.1571, 0.3857, 0.8429, 0.6998], q:[0.3857, 0.4573], qb:[0.7714, 0.8429], phi:[0.3857]] | [X:[[1]], M:[[-3], [-1], [3], [-7]], q:[[-1], [4]], qb:[[-2], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1q_1^2$, $ M_1\phi_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$ | $M_3\phi_1q_1^2$, $ \phi_1^3q_1q_2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_1\tilde{q}_2$ | 1 | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + 3*t^3.69 + t^3.9 + t^4.2 + t^4.41 + 2*t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + 3*t^5.79 + t^6. + 2*t^6.21 + t^6.3 + t^6.43 + t^6.51 + 2*t^6.73 + 4*t^6.94 + 3*t^7.16 + 3*t^7.37 + 2*t^7.59 + 2*t^7.67 + t^7.8 + 3*t^7.88 + t^8.1 + t^8.31 + t^8.4 - t^8.53 + t^8.61 + t^8.74 + 2*t^8.83 + t^8.96 - t^4.16/y - t^6.26/y - t^6.47/y + t^7.41/y + t^7.63/y + (2*t^7.84)/y + t^8.06/y - t^8.36/y + t^8.57/y + (4*t^8.79)/y - t^4.16*y - t^6.26*y - t^6.47*y + t^7.41*y + t^7.63*y + 2*t^7.84*y + t^8.06*y - t^8.36*y + t^8.57*y + 4*t^8.79*y | t^2.1/g1^7 + t^2.31/g1^2 + g1^3*t^2.53 + (2*t^3.47)/g1^3 + 3*g1^2*t^3.69 + g1^7*t^3.9 + t^4.2/g1^14 + t^4.41/g1^9 + (2*t^4.63)/g1^4 + 2*g1*t^4.84 + g1^6*t^5.06 + (2*t^5.57)/g1^10 + (3*t^5.79)/g1^5 + t^6. + 2*g1^5*t^6.21 + t^6.3/g1^21 + g1^10*t^6.43 + t^6.51/g1^16 + (2*t^6.73)/g1^11 + (4*t^6.94)/g1^6 + (3*t^7.16)/g1 + 3*g1^4*t^7.37 + 2*g1^9*t^7.59 + (2*t^7.67)/g1^17 + g1^14*t^7.8 + (3*t^7.88)/g1^12 + t^8.1/g1^7 + t^8.31/g1^2 + t^8.4/g1^28 - g1^3*t^8.53 + t^8.61/g1^23 + g1^8*t^8.74 + (2*t^8.83)/g1^18 + g1^13*t^8.96 - t^4.16/(g1*y) - t^6.26/(g1^8*y) - t^6.47/(g1^3*y) + t^7.41/(g1^9*y) + t^7.63/(g1^4*y) + (2*g1*t^7.84)/y + (g1^6*t^8.06)/y - t^8.36/(g1^15*y) + t^8.57/(g1^10*y) + (4*t^8.79)/(g1^5*y) - (t^4.16*y)/g1 - (t^6.26*y)/g1^8 - (t^6.47*y)/g1^3 + (t^7.41*y)/g1^9 + (t^7.63*y)/g1^4 + 2*g1*t^7.84*y + g1^6*t^8.06*y - (t^8.36*y)/g1^15 + (t^8.57*y)/g1^10 + (4*t^8.79*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2852 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_5\phi_1q_2^2$ | 0.6408 | 0.7997 | 0.8014 | [X:[1.6157], M:[1.153, 0.3843, 0.847, 0.6904, 0.6904], q:[0.3843, 0.4626], qb:[0.7687, 0.847], phi:[0.3843]] | 2*t^2.07 + t^2.31 + t^2.54 + 2*t^3.46 + 3*t^3.69 + 3*t^4.14 + 2*t^4.38 + 3*t^4.61 + 2*t^4.85 + t^5.08 + 4*t^5.53 + 6*t^5.77 - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 367 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*y | detail |