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 |
|---|---|---|---|---|---|---|---|---|---|
| 197 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.4897 | 0.6147 | 0.7966 | [X:[], M:[1.2102, 0.7642], q:[0.3949, 1.2102], qb:[0.3949, 0.4204], phi:[0.3949]] | [X:[], M:[[2], [-7]], q:[[-1], [2]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ \phi_1^3\tilde{q}_1^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.29 + t^2.37 + 2*t^2.45 + t^3.55 + 2*t^3.63 + t^4.59 + t^4.66 + 2*t^4.74 + 3*t^4.82 + 4*t^4.89 + t^5.85 + t^5.92 - t^6. + 2*t^6.08 + t^6.88 + t^6.95 + 2*t^7.03 + 3*t^7.11 + 2*t^7.18 + 3*t^7.26 + 5*t^7.34 + t^8.14 + t^8.22 - 2*t^8.29 - t^8.37 - 4*t^8.45 + 2*t^8.52 - t^4.18/y - t^6.48/y + t^7.66/y + (2*t^7.74)/y + (2*t^7.82)/y + (2*t^7.89)/y - t^8.77/y + t^8.85/y + (3*t^8.92)/y - t^4.18*y - t^6.48*y + t^7.66*y + 2*t^7.74*y + 2*t^7.82*y + 2*t^7.89*y - t^8.77*y + t^8.85*y + 3*t^8.92*y | t^2.29/g1^7 + t^2.37/g1^2 + 2*g1^3*t^2.45 + t^3.55/g1^3 + 2*g1^2*t^3.63 + t^4.59/g1^14 + t^4.66/g1^9 + (2*t^4.74)/g1^4 + 3*g1*t^4.82 + 4*g1^6*t^4.89 + t^5.85/g1^10 + t^5.92/g1^5 - t^6. + 2*g1^5*t^6.08 + t^6.88/g1^21 + t^6.95/g1^16 + (2*t^7.03)/g1^11 + (3*t^7.11)/g1^6 + (2*t^7.18)/g1 + 3*g1^4*t^7.26 + 5*g1^9*t^7.34 + t^8.14/g1^17 + t^8.22/g1^12 - (2*t^8.29)/g1^7 - t^8.37/g1^2 - 4*g1^3*t^8.45 + 2*g1^8*t^8.52 - t^4.18/(g1*y) - t^6.48/(g1^8*y) + t^7.66/(g1^9*y) + (2*t^7.74)/(g1^4*y) + (2*g1*t^7.82)/y + (2*g1^6*t^7.89)/y - t^8.77/(g1^15*y) + t^8.85/(g1^10*y) + (3*t^8.92)/(g1^5*y) - (t^4.18*y)/g1 - (t^6.48*y)/g1^8 + (t^7.66*y)/g1^9 + (2*t^7.74*y)/g1^4 + 2*g1*t^7.82*y + 2*g1^6*t^7.89*y - (t^8.77*y)/g1^15 + (t^8.85*y)/g1^10 + (3*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 313 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_2^2$ | 0.4614 | 0.5864 | 0.7868 | [X:[], M:[1.1429, 1.0], q:[0.4286, 1.1429], qb:[0.4286, 0.2857], phi:[0.4286]] | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 2*t^5.14 + 3*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 633/1372, c: 1609/2744, M1: 8/7, M2: 1, q1: 3/7, q2: 8/7, qb1: 3/7, qb2: 2/7, phi1: 3/7} |
| 314 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5056 | 0.6428 | 0.7866 | [X:[], M:[1.2033, 0.7886, 0.8049], q:[0.3984, 1.2033], qb:[0.3984, 0.4065], phi:[0.3984]] | t^2.37 + t^2.39 + 3*t^2.41 + 2*t^3.61 + t^4.73 + t^4.76 + 3*t^4.78 + 4*t^4.8 + 7*t^4.83 - 3*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 121 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | t^2.04 + t^2.21 + t^2.64 + t^2.93 + t^3.07 + 2*t^3.36 + t^3.65 + 2*t^4.08 + t^4.25 + t^4.41 + 2*t^4.68 + t^4.85 + t^4.97 + t^5.11 + t^5.14 + t^5.28 + 2*t^5.4 + 2*t^5.57 + t^5.69 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*y | detail |