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 |
|---|---|---|---|---|---|---|---|---|---|
| 3272 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6674 | 0.8647 | 0.7718 | [X:[], M:[1.1563, 1.1146, 0.7709, 0.6873, 0.8854, 0.7291], q:[0.75, 0.4791], qb:[0.3646, 0.4063], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6], [1], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_3M_4$, $ M_6^2$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5M_6$, $ M_3M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_4$, $ M_2M_6$, $ M_4q_1\tilde{q}_2$, $ M_2M_3$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_2M_5$ | 0 | t^2.06 + t^2.19 + 2*t^2.31 + t^2.66 + t^3. + t^3.34 + 2*t^3.47 + t^3.69 + t^4.03 + t^4.12 + t^4.16 + t^4.25 + 4*t^4.37 + 2*t^4.5 + 3*t^4.63 + t^4.72 + t^4.84 + 2*t^4.97 + t^5.06 + t^5.19 + 3*t^5.31 + t^5.41 + 3*t^5.53 + 4*t^5.66 + t^5.75 + 3*t^5.78 + t^6.09 + t^6.13 + t^6.19 + t^6.22 + t^6.31 + 2*t^6.34 + 4*t^6.44 + 2*t^6.47 + 4*t^6.56 + 7*t^6.69 + t^6.78 + 4*t^6.81 + t^6.91 + 6*t^6.94 + 4*t^7.03 + t^7.12 + t^7.16 + t^7.25 + t^7.28 + 4*t^7.37 + t^7.47 + 2*t^7.5 + 3*t^7.59 + 4*t^7.63 + 5*t^7.72 + t^7.81 + 6*t^7.84 + 5*t^7.97 + t^8.06 + 4*t^8.09 + t^8.15 - 2*t^8.19 + t^8.25 + t^8.28 + t^8.37 + 3*t^8.41 + t^8.44 + 4*t^8.5 + 2*t^8.53 + 4*t^8.62 + 10*t^8.75 + 3*t^8.78 + t^8.84 + 6*t^8.87 + t^8.97 - t^4.5/y - t^6.56/y - t^6.69/y - t^6.81/y + t^7.03/y + t^7.25/y + (2*t^7.37)/y + (2*t^7.5)/y + t^7.63/y + t^7.72/y + t^7.84/y + t^7.97/y + t^8.06/y + (2*t^8.19)/y + (3*t^8.31)/y + t^8.41/y + t^8.44/y + (3*t^8.53)/y - t^8.62/y + (5*t^8.66)/y + (4*t^8.78)/y - t^8.87/y - t^4.5*y - t^6.56*y - t^6.69*y - t^6.81*y + t^7.03*y + t^7.25*y + 2*t^7.37*y + 2*t^7.5*y + t^7.63*y + t^7.72*y + t^7.84*y + t^7.97*y + t^8.06*y + 2*t^8.19*y + 3*t^8.31*y + t^8.41*y + t^8.44*y + 3*t^8.53*y - t^8.62*y + 5*t^8.66*y + 4*t^8.78*y - t^8.87*y | t^2.06/g1^6 + t^2.19/g1^2 + 2*g1^2*t^2.31 + g1*t^2.66 + t^3. + t^3.34/g1 + 2*g1^3*t^3.47 + t^3.69/g1^2 + t^4.03/g1^3 + t^4.12/g1^12 + g1*t^4.16 + t^4.25/g1^8 + (4*t^4.37)/g1^4 + 2*t^4.5 + 3*g1^4*t^4.63 + t^4.72/g1^5 + t^4.84/g1 + 2*g1^3*t^4.97 + t^5.06/g1^6 + t^5.19/g1^2 + 3*g1^2*t^5.31 + t^5.41/g1^7 + (3*t^5.53)/g1^3 + 4*g1*t^5.66 + t^5.75/g1^8 + 3*g1^5*t^5.78 + t^6.09/g1^9 + g1^4*t^6.13 + t^6.19/g1^18 + t^6.22/g1^5 + t^6.31/g1^14 + (2*t^6.34)/g1 + (4*t^6.44)/g1^10 + 2*g1^3*t^6.47 + (4*t^6.56)/g1^6 + (7*t^6.69)/g1^2 + t^6.78/g1^11 + 4*g1^2*t^6.81 + t^6.91/g1^7 + 6*g1^6*t^6.94 + (4*t^7.03)/g1^3 + t^7.12/g1^12 + g1*t^7.16 + t^7.25/g1^8 + g1^5*t^7.28 + (4*t^7.37)/g1^4 + t^7.47/g1^13 + 2*t^7.5 + (3*t^7.59)/g1^9 + 4*g1^4*t^7.63 + (5*t^7.72)/g1^5 + t^7.81/g1^14 + (6*t^7.84)/g1 + 5*g1^3*t^7.97 + t^8.06/g1^6 + 4*g1^7*t^8.09 + t^8.15/g1^15 - (2*t^8.19)/g1^2 + t^8.25/g1^24 + t^8.28/g1^11 + t^8.37/g1^20 + (3*t^8.41)/g1^7 + g1^6*t^8.44 + (4*t^8.5)/g1^16 + (2*t^8.53)/g1^3 + (4*t^8.62)/g1^12 + (10*t^8.75)/g1^8 + 3*g1^5*t^8.78 + t^8.84/g1^17 + (6*t^8.87)/g1^4 + t^8.97/g1^13 - t^4.5/y - t^6.56/(g1^6*y) - t^6.69/(g1^2*y) - (g1^2*t^6.81)/y + t^7.03/(g1^3*y) + t^7.25/(g1^8*y) + (2*t^7.37)/(g1^4*y) + (2*t^7.5)/y + (g1^4*t^7.63)/y + t^7.72/(g1^5*y) + t^7.84/(g1*y) + (g1^3*t^7.97)/y + t^8.06/(g1^6*y) + (2*t^8.19)/(g1^2*y) + (3*g1^2*t^8.31)/y + t^8.41/(g1^7*y) + (g1^6*t^8.44)/y + (3*t^8.53)/(g1^3*y) - t^8.62/(g1^12*y) + (5*g1*t^8.66)/y + (4*g1^5*t^8.78)/y - t^8.87/(g1^4*y) - t^4.5*y - (t^6.56*y)/g1^6 - (t^6.69*y)/g1^2 - g1^2*t^6.81*y + (t^7.03*y)/g1^3 + (t^7.25*y)/g1^8 + (2*t^7.37*y)/g1^4 + 2*t^7.5*y + g1^4*t^7.63*y + (t^7.72*y)/g1^5 + (t^7.84*y)/g1 + g1^3*t^7.97*y + (t^8.06*y)/g1^6 + (2*t^8.19*y)/g1^2 + 3*g1^2*t^8.31*y + (t^8.41*y)/g1^7 + g1^6*t^8.44*y + (3*t^8.53*y)/g1^3 - (t^8.62*y)/g1^12 + 5*g1*t^8.66*y + 4*g1^5*t^8.78*y - (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3702 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6778 | 0.882 | 0.7685 | [X:[], M:[1.1511, 1.1163, 0.7674, 0.6978, 0.8837, 0.7326, 0.8837], q:[0.75, 0.4826], qb:[0.3663, 0.4011], phi:[0.5]] | t^2.09 + t^2.2 + 2*t^2.3 + 2*t^2.65 + t^3. + 2*t^3.45 + t^3.7 + t^4.05 + t^4.15 + t^4.19 + t^4.29 + 4*t^4.4 + 2*t^4.5 + 3*t^4.6 + 2*t^4.74 + 2*t^4.85 + 4*t^4.95 + t^5.09 + t^5.2 + 5*t^5.3 + 2*t^5.55 + 3*t^5.65 + 3*t^5.76 + t^5.79 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2757 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6476 | 0.8279 | 0.7823 | [X:[], M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | t^2.09 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.46 + t^3.7 + t^3.8 + t^4.04 + t^4.15 + t^4.17 + 3*t^4.39 + 3*t^4.61 + t^4.74 + 2*t^4.96 + t^5.09 + 3*t^5.3 + t^5.44 + 2*t^5.54 + 2*t^5.65 + 3*t^5.76 + t^5.78 - t^4.5/y - t^4.5*y | detail |