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 |
|---|---|---|---|---|---|---|---|---|---|
| 896 | 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$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.7014 | 0.8635 | 0.8123 | [X:[], M:[0.9379, 1.0207, 1.0621, 0.8965, 0.9379], q:[0.5103, 0.5517], qb:[0.4276, 0.5517], phi:[0.4897]] | [X:[], M:[[-6], [2], [6], [-10], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$ | . | -2 | t^2.69 + 2*t^2.81 + 2*t^2.94 + t^3.06 + t^3.19 + t^4.03 + t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + 3*t^4.78 + t^5.38 + 2*t^5.5 + 3*t^5.63 + 4*t^5.75 + 4*t^5.88 - 2*t^6. - t^6.37 + t^6.72 + 2*t^6.85 + 3*t^6.97 + 2*t^7.1 + 5*t^7.22 + 5*t^7.34 + 3*t^7.47 + 5*t^7.59 + 4*t^7.72 - t^7.84 + t^7.97 + 2*t^8.07 + 2*t^8.19 + 4*t^8.32 + 6*t^8.44 + 5*t^8.57 + 4*t^8.69 + t^8.81 - 7*t^8.94 - t^4.47/y - t^7.16/y - t^7.28/y + t^7.66/y + t^7.78/y + (2*t^8.5)/y + (3*t^8.63)/y + (5*t^8.75)/y + (4*t^8.88)/y - t^4.47*y - t^7.16*y - t^7.28*y + t^7.66*y + t^7.78*y + 2*t^8.5*y + 3*t^8.63*y + 5*t^8.75*y + 4*t^8.88*y | t^2.69/g1^10 + (2*t^2.81)/g1^6 + (2*t^2.94)/g1^2 + g1^2*t^3.06 + g1^6*t^3.19 + t^4.03/g1^15 + t^4.28/g1^7 + (2*t^4.41)/g1^3 + g1*t^4.53 + 2*g1^5*t^4.66 + 3*g1^9*t^4.78 + t^5.38/g1^20 + (2*t^5.5)/g1^16 + (3*t^5.63)/g1^12 + (4*t^5.75)/g1^8 + (4*t^5.88)/g1^4 - 2*t^6. - g1^12*t^6.37 + t^6.72/g1^25 + (2*t^6.85)/g1^21 + (3*t^6.97)/g1^17 + (2*t^7.1)/g1^13 + (5*t^7.22)/g1^9 + (5*t^7.34)/g1^5 + (3*t^7.47)/g1 + 5*g1^3*t^7.59 + 4*g1^7*t^7.72 - g1^11*t^7.84 + g1^15*t^7.97 + (2*t^8.07)/g1^30 + (2*t^8.19)/g1^26 + (4*t^8.32)/g1^22 + (6*t^8.44)/g1^18 + (5*t^8.57)/g1^14 + (4*t^8.69)/g1^10 + t^8.81/g1^6 - (7*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.16/(g1^11*y) - t^7.28/(g1^7*y) + (g1^5*t^7.66)/y + (g1^9*t^7.78)/y + (2*t^8.5)/(g1^16*y) + (3*t^8.63)/(g1^12*y) + (5*t^8.75)/(g1^8*y) + (4*t^8.88)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.16*y)/g1^11 - (t^7.28*y)/g1^7 + g1^5*t^7.66*y + g1^9*t^7.78*y + (2*t^8.5*y)/g1^16 + (3*t^8.63*y)/g1^12 + (5*t^8.75*y)/g1^8 + (4*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 1382 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ | 0.7035 | 0.8675 | 0.8109 | [X:[], M:[0.9322, 1.0226, 1.0678, 0.887, 0.9322, 0.9774], q:[0.5113, 0.5565], qb:[0.4209, 0.5565], phi:[0.4887]] | t^2.66 + 2*t^2.8 + 3*t^2.93 + t^3.2 + t^3.99 + t^4.26 + 2*t^4.4 + t^4.53 + 2*t^4.67 + 3*t^4.81 + t^5.32 + 2*t^5.46 + 4*t^5.59 + 5*t^5.73 + 5*t^5.86 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 1381 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6941 | 0.85 | 0.8166 | [X:[], M:[0.9667, 1.0111, 1.0333, 0.9445, 0.9667, 1.0555], q:[0.5056, 0.5278], qb:[0.4611, 0.5278], phi:[0.4944]] | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + t^4.25 + t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.58 + 3*t^4.65 + t^5.8 + 3*t^5.87 + 3*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 1380 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6996 | 0.86 | 0.8135 | [X:[], M:[0.9437, 1.0188, 1.0563, 0.9061, 0.9437, 1.0188], q:[0.5094, 0.5469], qb:[0.4343, 0.5469], phi:[0.4906]] | t^2.72 + 2*t^2.83 + t^2.94 + 2*t^3.06 + t^3.17 + t^4.08 + t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + 3*t^4.75 + t^5.44 + 2*t^5.55 + 2*t^5.66 + 3*t^5.77 + 4*t^5.89 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2067 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7079 | 0.8764 | 0.8078 | [X:[], M:[0.9219, 1.026, 1.0781, 0.8698, 0.9219, 0.9219], q:[0.513, 0.5651], qb:[0.4088, 0.5651], phi:[0.487]] | t^2.61 + 3*t^2.77 + 2*t^2.92 + t^3.08 + t^3.91 + t^4.23 + 2*t^4.38 + t^4.54 + 2*t^4.7 + 3*t^4.85 + t^5.22 + 3*t^5.37 + 6*t^5.53 + 6*t^5.69 + 4*t^5.84 - 4*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 580 | 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$ + $ M_3M_5$ + $ M_2\phi_1^2$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. - t^4.46/y - t^4.46*y | detail |