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 |
|---|---|---|---|---|---|---|---|---|---|
| 662 | 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_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_6q_1q_2$, $ M_4\phi_1q_2^2$ | . | -3 | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. + t^6.17 + 2*t^6.19 + t^6.24 + 2*t^6.44 + 3*t^6.48 + 2*t^6.63 + 2*t^6.68 + t^6.73 + 3*t^6.75 + t^6.92 + 2*t^6.95 + 4*t^6.99 + 2*t^7.07 + t^7.19 + 3*t^7.24 + 3*t^7.31 - t^7.39 + 2*t^7.48 + t^7.5 + 4*t^7.55 + t^7.63 + t^7.72 + t^7.75 + 2*t^7.8 - t^7.82 + 6*t^7.87 + t^7.95 + 2*t^7.99 + t^8.02 + t^8.04 - 4*t^8.06 + 2*t^8.11 + 2*t^8.19 + 2*t^8.23 + 2*t^8.26 - 3*t^8.31 + t^8.36 - 2*t^8.38 + t^8.43 + t^8.46 + t^8.47 + 3*t^8.5 + t^8.51 + 2*t^8.55 + t^8.6 - 6*t^8.62 + t^8.67 + 3*t^8.74 + t^8.75 + 3*t^8.79 + 2*t^8.82 - 2*t^8.87 + t^8.89 - 3*t^8.94 + 2*t^8.98 - t^4.31/y - t^6.38/y - t^6.62/y - t^6.94/y - t^7.18/y - t^7.25/y + (2*t^7.37)/y + t^7.45/y + (3*t^7.69)/y + (3*t^7.93)/y + (2*t^8.01)/y + t^8.17/y + (3*t^8.25)/y - t^8.44/y + (2*t^8.49)/y + (2*t^8.56)/y + t^8.81/y + t^8.93/y - t^4.31*y - t^6.38*y - t^6.62*y - t^6.94*y - t^7.18*y - t^7.25*y + 2*t^7.37*y + t^7.45*y + 3*t^7.69*y + 3*t^7.93*y + 2*t^8.01*y + t^8.17*y + 3*t^8.25*y - t^8.44*y + 2*t^8.49*y + 2*t^8.56*y + t^8.81*y + t^8.93*y | g1^6*t^2.06 + t^2.31/(g1*g2) + (2*t^2.62)/g1^4 + t^2.87/(g1^11*g2) + (g2*t^2.94)/g1^7 + t^3.62/(g1^3*g2) + t^3.86/(g1^10*g2^2) + (g2^2*t^4.01)/g1^2 + 2*g1^12*t^4.13 + (2*g1^5*t^4.37)/g2 + g1^9*g2*t^4.45 + t^4.61/(g1^2*g2^2) + 2*g1^2*t^4.69 + g1^20*t^4.88 + (3*t^4.93)/(g1^5*g2) + (g2*t^5.01)/g1 + t^5.17/(g1^12*g2^2) + (4*t^5.25)/g1^8 + t^5.49/(g1^15*g2) + (g2*t^5.56)/g1^11 + (g1^3*t^5.68)/g2 + t^5.73/(g1^22*g2^2) + t^5.81/g1^18 + (g2^2*t^5.88)/g1^14 + t^5.93/(g1^4*g2^2) - 3*t^6. + t^6.17/(g1^11*g2^3) + 2*g1^18*t^6.19 + t^6.24/(g1^7*g2) + (2*g1^11*t^6.44)/g2 + (3*t^6.48)/(g1^14*g2^2) + (2*g2^2*t^6.63)/g1^6 + (2*g1^4*t^6.68)/g2^2 + t^6.73/(g1^21*g2^3) + 3*g1^8*t^6.75 + t^6.92/(g1^3*g2^3) + g1^26*t^6.95 + (g2^3*t^6.95)/g1^9 + (4*g1*t^6.99)/g2 + 2*g1^5*g2*t^7.07 + (g1^19*t^7.19)/g2 + (3*t^7.24)/(g1^6*g2^2) + (3*t^7.31)/g1^2 - g1^2*g2^2*t^7.39 + (2*t^7.48)/(g1^13*g2^3) + g1^16*t^7.5 + (4*t^7.55)/(g1^9*g2) + (g2*t^7.63)/g1^5 + t^7.72/(g1^20*g2^4) + (g1^9*t^7.75)/g2 + (2*t^7.8)/(g1^16*g2^2) - g1^13*g2*t^7.82 + (6*t^7.87)/g1^12 + (g2^2*t^7.95)/g1^8 + (2*g1^2*t^7.99)/g2^2 + (g2^4*t^8.02)/g1^4 + t^8.04/(g1^23*g2^3) - 4*g1^6*t^8.06 + (2*t^8.11)/(g1^19*g2) + (2*g2*t^8.19)/g1^15 + (2*t^8.23)/(g1^5*g2^3) + 2*g1^24*t^8.26 - (3*t^8.31)/(g1*g2) + t^8.36/(g1^26*g2^2) - 2*g1^3*g2*t^8.38 + t^8.43/g1^22 + g1^7*g2^3*t^8.46 + t^8.47/(g1^12*g2^4) + (3*g1^17*t^8.5)/g2 + (g2^2*t^8.51)/g1^18 + (2*t^8.55)/(g1^8*g2^2) + t^8.6/(g1^33*g2^3) - (6*t^8.62)/g1^4 + t^8.67/(g1^29*g2) + (3*g1^10*t^8.74)/g2^2 + (g2*t^8.75)/g1^25 + (3*t^8.79)/(g1^15*g2^3) + g1^14*t^8.82 + (g2^3*t^8.82)/g1^21 - (2*t^8.87)/(g1^11*g2) + g1^18*g2^2*t^8.89 - (3*g2*t^8.94)/g1^7 + (2*g1^3*t^8.98)/g2^3 - t^4.31/(g1^2*y) - (g1^4*t^6.38)/y - t^6.62/(g1^3*g2*y) - t^6.94/(g1^6*y) - t^7.18/(g1^13*g2*y) - (g2*t^7.25)/(g1^9*y) + (2*g1^5*t^7.37)/(g2*y) + (g1^9*g2*t^7.45)/y + (3*g1^2*t^7.69)/y + (3*t^7.93)/(g1^5*g2*y) + (2*g2*t^8.01)/(g1*y) + t^8.17/(g1^12*g2^2*y) + (3*t^8.25)/(g1^8*y) - (g1^10*t^8.44)/y + (2*t^8.49)/(g1^15*g2*y) + (2*g2*t^8.56)/(g1^11*y) + t^8.81/(g1^18*y) + t^8.93/(g1^4*g2^2*y) - (t^4.31*y)/g1^2 - g1^4*t^6.38*y - (t^6.62*y)/(g1^3*g2) - (t^6.94*y)/g1^6 - (t^7.18*y)/(g1^13*g2) - (g2*t^7.25*y)/g1^9 + (2*g1^5*t^7.37*y)/g2 + g1^9*g2*t^7.45*y + 3*g1^2*t^7.69*y + (3*t^7.93*y)/(g1^5*g2) + (2*g2*t^8.01*y)/g1 + (t^8.17*y)/(g1^12*g2^2) + (3*t^8.25*y)/g1^8 - g1^10*t^8.44*y + (2*t^8.49*y)/(g1^15*g2) + (2*g2*t^8.56*y)/g1^11 + (t^8.81*y)/g1^18 + (t^8.93*y)/(g1^4*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1055 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_3^2$ | 0.6976 | 0.8709 | 0.801 | [X:[], M:[0.9895, 1.1134, 1.0, 0.6702, 0.8866, 0.7836], q:[0.7784, 0.4485], qb:[0.562, 0.438], phi:[0.4433]] | t^2.01 + t^2.35 + 2*t^2.66 + t^2.97 + t^3. + t^3.68 + t^3.96 + 3*t^4.02 + t^4.33 + 2*t^4.36 + 2*t^4.67 + 2*t^4.7 + t^4.98 + 3*t^5.01 + 4*t^5.32 + t^5.35 + t^5.63 + t^5.66 + t^5.69 + t^5.94 + t^5.97 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 1056 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.699 | 0.8728 | 0.8008 | [X:[], M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.06 + t^2.34 + 2*t^2.62 + 2*t^2.9 + t^3.66 + 2*t^3.94 + 2*t^4.13 + 3*t^4.41 + 3*t^4.69 + t^4.88 + 4*t^4.97 + 5*t^5.25 + 2*t^5.53 + t^5.72 + 3*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1058 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7198 | 0.9129 | 0.7884 | [X:[], M:[0.9768, 1.1237, 0.9666, 0.6855, 0.8763, 0.7758, 0.6958], q:[0.7809, 0.433], qb:[0.5902, 0.4433], phi:[0.4382]] | t^2.06 + t^2.09 + t^2.33 + 2*t^2.63 + t^2.9 + t^2.93 + t^3.64 + t^3.97 + 2*t^4.11 + t^4.14 + t^4.17 + 2*t^4.38 + 2*t^4.41 + t^4.65 + 2*t^4.69 + 2*t^4.72 + t^4.86 + 3*t^4.96 + 2*t^4.99 + t^5.02 + t^5.23 + 4*t^5.26 + t^5.53 + t^5.56 + t^5.7 + t^5.73 + t^5.8 + t^5.83 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1057 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 411 | 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_2M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |