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 |
|---|---|---|---|---|---|---|---|---|---|
| 1203 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ | 0.6662 | 0.8424 | 0.7908 | [X:[], M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | [X:[], M:[[-6], [-14], [6], [6], [-14], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -2 | 2*t^2.26 + t^2.36 + 3*t^2.46 + t^3.45 + t^3.64 + t^3.83 + 3*t^4.53 + 2*t^4.63 + 7*t^4.72 + 4*t^4.82 + 6*t^4.92 + 2*t^5.71 + 3*t^5.9 - 2*t^6. + 3*t^6.1 + 3*t^6.29 + 4*t^6.79 + 4*t^6.89 + 10*t^6.99 + 7*t^7.08 + 12*t^7.18 + 6*t^7.28 + 7*t^7.37 + t^7.66 + 3*t^7.98 + 5*t^8.17 - 6*t^8.26 + 2*t^8.36 - 9*t^8.46 + 4*t^8.55 + 6*t^8.75 - t^4.18/y - (2*t^6.45)/y - t^6.54/y - (2*t^6.64)/y + t^7.53/y + (2*t^7.63)/y + (8*t^7.72)/y + (4*t^7.82)/y + (5*t^7.92)/y - t^8.71/y - t^8.81/y - t^4.18*y - 2*t^6.45*y - t^6.54*y - 2*t^6.64*y + t^7.53*y + 2*t^7.63*y + 8*t^7.72*y + 4*t^7.82*y + 5*t^7.92*y - t^8.71*y - t^8.81*y | (2*t^2.26)/g1^14 + t^2.36/g1^4 + 3*g1^6*t^2.46 + t^3.45/g1^16 + g1^4*t^3.64 + g1^24*t^3.83 + (3*t^4.53)/g1^28 + (2*t^4.63)/g1^18 + (7*t^4.72)/g1^8 + 4*g1^2*t^4.82 + 6*g1^12*t^4.92 + (2*t^5.71)/g1^30 + (3*t^5.9)/g1^10 - 2*t^6. + 3*g1^10*t^6.1 + 3*g1^30*t^6.29 + (4*t^6.79)/g1^42 + (4*t^6.89)/g1^32 + (10*t^6.99)/g1^22 + (7*t^7.08)/g1^12 + (12*t^7.18)/g1^2 + 6*g1^8*t^7.28 + 7*g1^18*t^7.37 + g1^48*t^7.66 + (3*t^7.98)/g1^44 + (5*t^8.17)/g1^24 - (6*t^8.26)/g1^14 + (2*t^8.36)/g1^4 - 9*g1^6*t^8.46 + 4*g1^16*t^8.55 + 6*g1^36*t^8.75 - t^4.18/(g1^2*y) - (2*t^6.45)/(g1^16*y) - t^6.54/(g1^6*y) - (2*g1^4*t^6.64)/y + t^7.53/(g1^28*y) + (2*t^7.63)/(g1^18*y) + (8*t^7.72)/(g1^8*y) + (4*g1^2*t^7.82)/y + (5*g1^12*t^7.92)/y - t^8.71/(g1^30*y) - t^8.81/(g1^20*y) - (t^4.18*y)/g1^2 - (2*t^6.45*y)/g1^16 - (t^6.54*y)/g1^6 - 2*g1^4*t^6.64*y + (t^7.53*y)/g1^28 + (2*t^7.63*y)/g1^18 + (8*t^7.72*y)/g1^8 + 4*g1^2*t^7.82*y + 5*g1^12*t^7.92*y - (t^8.71*y)/g1^30 - (t^8.81*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2262 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6865 | 0.8814 | 0.7788 | [X:[], M:[1.1761, 0.7441, 0.8239, 0.8239, 0.7441, 0.8239, 0.7042], q:[0.804, 0.4519], qb:[0.3721, 0.804], phi:[0.392]] | t^2.11 + 2*t^2.23 + t^2.35 + 3*t^2.47 + t^3.41 + t^3.65 + t^4.23 + 2*t^4.35 + 4*t^4.46 + 5*t^4.58 + 7*t^4.7 + 4*t^4.82 + 6*t^4.94 + t^5.52 + 2*t^5.64 + t^5.76 + 3*t^5.88 - 2*t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 732 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ | 0.651 | 0.8164 | 0.7974 | [X:[], M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.24 + t^2.35 + 2*t^2.47 + t^3.41 + t^3.53 + t^3.65 + t^3.88 + 3*t^4.47 + 2*t^4.59 + 5*t^4.71 + 3*t^4.82 + 3*t^4.94 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 - t^4.18/y - t^4.18*y | detail |