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 |
|---|---|---|---|---|---|---|---|---|---|
| 567 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ | 0.6514 | 0.8288 | 0.7859 | [X:[], M:[0.8067, 1.1933, 0.8067, 0.7089, 1.1456], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | . | -2 | t^2.13 + 2*t^2.42 + t^2.52 + t^3. + 2*t^3.44 + t^3.48 + t^3.92 + t^3.97 + t^4.02 + t^4.06 + t^4.16 + t^4.25 + 2*t^4.55 + t^4.64 + 3*t^4.84 + 2*t^4.94 + t^5.03 + t^5.13 + 2*t^5.42 + t^5.52 + 2*t^5.56 + t^5.61 + 3*t^5.86 + t^5.9 + t^5.95 - 2*t^6. + t^6.09 - t^6.1 + t^6.19 + t^6.29 + 2*t^6.34 + t^6.38 + 2*t^6.39 + 3*t^6.44 + 2*t^6.48 + t^6.53 + t^6.58 + 2*t^6.67 + t^6.68 + t^6.77 + 2*t^6.87 + t^6.92 + 4*t^6.97 - t^7.02 + t^7.06 + t^7.16 + t^7.25 + 4*t^7.26 + 3*t^7.36 + t^7.4 + 3*t^7.45 - t^7.5 + 2*t^7.55 + 2*t^7.69 + t^7.74 + 3*t^7.84 + t^7.89 + t^7.93 + t^7.94 + 3*t^7.98 + 3*t^8.03 + t^8.08 - t^8.13 + t^8.18 + t^8.22 + 4*t^8.28 + 3*t^8.32 + t^8.37 + t^8.41 - 5*t^8.42 + t^8.47 + 3*t^8.51 - 4*t^8.52 + t^8.61 + t^8.71 + 3*t^8.76 + 3*t^8.8 + 3*t^8.81 + 4*t^8.86 + 3*t^8.9 + 2*t^8.95 - t^4.5/y - t^6.63/y - t^6.92/y + t^7.06/y + (2*t^7.55)/y + t^7.64/y + t^7.84/y + t^7.94/y + t^8.08/y + t^8.13/y + t^8.37/y + (2*t^8.42)/y + t^8.52/y + (2*t^8.56)/y + t^8.61/y - t^8.75/y + (4*t^8.86)/y + (2*t^8.9)/y + (2*t^8.95)/y - t^4.5*y - t^6.63*y - t^6.92*y + t^7.06*y + 2*t^7.55*y + t^7.64*y + t^7.84*y + t^7.94*y + t^8.08*y + t^8.13*y + t^8.37*y + 2*t^8.42*y + t^8.52*y + 2*t^8.56*y + t^8.61*y - t^8.75*y + 4*t^8.86*y + 2*t^8.9*y + 2*t^8.95*y | t^2.13/g1^2 + 2*g1*g2*t^2.42 + t^2.52/g2 + t^3. + 2*g1*t^3.44 + g2*t^3.48 + g1*g2*t^3.92 + g2^2*t^3.97 + t^4.02/g2 + t^4.06/g1 + t^4.16/(g1^2*g2^2) + t^4.25/g1^4 + (2*g2*t^4.55)/g1 + t^4.64/(g1^2*g2) + 3*g1^2*g2^2*t^4.84 + 2*g1*t^4.94 + t^5.03/g2^2 + t^5.13/g1^2 + 2*g1*g2*t^5.42 + t^5.52/g2 + (2*t^5.56)/g1 + (g2*t^5.61)/g1^2 + 3*g1^2*g2*t^5.86 + g1*g2^2*t^5.9 + (g1*t^5.95)/g2 - 2*t^6. + (g2^2*t^6.09)/g1^2 - t^6.1/(g1*g2^2) + t^6.19/g1^3 + t^6.29/(g1^4*g2^2) + 2*g1^2*g2^2*t^6.34 + t^6.38/g1^6 + 2*g1*g2^3*t^6.39 + 3*g1*t^6.44 + 2*g2*t^6.48 + t^6.53/g2^2 + t^6.58/(g1*g2) + (2*g2*t^6.67)/g1^3 + t^6.68/(g1^2*g2^3) + t^6.77/(g1^4*g2) + 2*g1^2*t^6.87 + g1*g2*t^6.92 + 4*g2^2*t^6.97 - t^7.02/g2 + t^7.06/g1 + t^7.16/(g1^2*g2^2) + t^7.25/g1^4 + 4*g1^3*g2^3*t^7.26 + 3*g1^2*g2*t^7.36 + g1*g2^2*t^7.4 + (2*g1*t^7.45)/g2 + g2^3*t^7.45 - t^7.5 + t^7.55/g2^3 + (g2*t^7.55)/g1 + (2*t^7.69)/g1^3 + (g2*t^7.74)/g1^4 + 3*g1^2*g2^2*t^7.84 + g1*g2^3*t^7.89 + g2^4*t^7.93 + g1*t^7.94 + 3*g2*t^7.98 + t^8.03/g2^2 + (2*g2^2*t^8.03)/g1 + t^8.08/(g1*g2) - t^8.13/g1^2 + t^8.18/(g1^2*g2^3) + (g2^2*t^8.22)/g1^4 + 4*g1^3*g2^2*t^8.28 + t^8.32/g1^5 + t^8.32/(g1^4*g2^4) + g1^2*g2^3*t^8.32 + g1^2*t^8.37 + t^8.41/(g1^6*g2^2) - 5*g1*g2*t^8.42 + (g1*t^8.47)/g2^2 + t^8.51/g1^8 + (2*g2^3*t^8.51)/g1 - (4*t^8.52)/g2 - t^8.61/(g1*g2^3) + (2*g2*t^8.61)/g1^2 + t^8.71/(g1^3*g2) + 3*g1^3*g2^3*t^8.76 + t^8.8/(g1^4*g2^3) + (2*g2*t^8.8)/g1^5 + 3*g1^2*g2^4*t^8.81 + 4*g1^2*g2*t^8.86 + t^8.9/(g1^6*g2) + 2*g1*g2^2*t^8.9 + (2*g1*t^8.95)/g2 - t^4.5/y - t^6.63/(g1^2*y) - (g1*g2*t^6.92)/y + t^7.06/(g1*y) + (2*g2*t^7.55)/(g1*y) + t^7.64/(g1^2*g2*y) + (g1^2*g2^2*t^7.84)/y + (g1*t^7.94)/y + t^8.08/(g1*g2*y) + t^8.13/(g1^2*y) + (g1^2*t^8.37)/y + (2*g1*g2*t^8.42)/y + t^8.52/(g2*y) + (2*t^8.56)/(g1*y) + (g2*t^8.61)/(g1^2*y) - t^8.75/(g1^4*y) + (4*g1^2*g2*t^8.86)/y + (2*g1*g2^2*t^8.9)/y + (2*g1*t^8.95)/(g2*y) - t^4.5*y - (t^6.63*y)/g1^2 - g1*g2*t^6.92*y + (t^7.06*y)/g1 + (2*g2*t^7.55*y)/g1 + (t^7.64*y)/(g1^2*g2) + g1^2*g2^2*t^7.84*y + g1*t^7.94*y + (t^8.08*y)/(g1*g2) + (t^8.13*y)/g1^2 + g1^2*t^8.37*y + 2*g1*g2*t^8.42*y + (t^8.52*y)/g2 + (2*t^8.56*y)/g1 + (g2*t^8.61*y)/g1^2 - (t^8.75*y)/g1^4 + 4*g1^2*g2*t^8.86*y + 2*g1*g2^2*t^8.9*y + (2*g1*t^8.95*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 882 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6721 | 0.8687 | 0.7736 | [X:[], M:[0.8103, 1.1897, 0.8103, 0.7064, 1.1468, 0.6897], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]] | t^2.07 + t^2.12 + 2*t^2.43 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^3.98 + t^4.01 + t^4.06 + 2*t^4.14 + t^4.19 + t^4.24 + 2*t^4.5 + 2*t^4.55 + t^4.58 + t^4.63 + 3*t^4.86 + 2*t^4.94 + t^5.02 + t^5.07 + t^5.12 + 2*t^5.43 + 3*t^5.51 + 3*t^5.56 + t^5.61 + 3*t^5.87 + t^5.92 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 883 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6722 | 0.8699 | 0.7727 | [X:[], M:[0.8081, 1.1919, 0.8081, 0.7105, 1.1447, 0.6733], q:[0.75, 0.4419], qb:[0.3947, 0.4133], phi:[0.5]] | t^2.02 + t^2.13 + 2*t^2.42 + t^2.51 + t^3. + 2*t^3.43 + t^3.49 + t^3.92 + t^4.01 + t^4.04 + t^4.07 + 2*t^4.15 + t^4.26 + 2*t^4.44 + t^4.53 + 2*t^4.56 + t^4.64 + 3*t^4.85 + 2*t^4.93 + 2*t^5.02 + t^5.13 + 2*t^5.42 + 2*t^5.45 + 2*t^5.51 + 2*t^5.57 + t^5.62 + 3*t^5.86 + t^5.91 + 2*t^5.94 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1925 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.666 | 0.8535 | 0.7803 | [X:[], M:[0.8191, 1.1809, 0.8191, 0.7236, 1.1382, 0.8191], q:[0.75, 0.4309], qb:[0.3882, 0.4309], phi:[0.5]] | t^2.17 + 4*t^2.46 + t^3. + 2*t^3.41 + 2*t^3.96 + 3*t^4.09 + t^4.34 + 4*t^4.63 + 10*t^4.91 + t^5.17 + 4*t^5.46 + 2*t^5.59 + 6*t^5.87 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
| 881 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.6383 | 0.8085 | 0.7895 | [X:[], M:[0.7923, 1.2077, 0.7923, 0.6923, 1.1539, 1.1384], q:[0.75, 0.4577], qb:[0.4039, 0.3884], phi:[0.5]] | t^2.08 + 2*t^2.38 + t^3. + 2*t^3.42 + 2*t^3.46 + t^3.83 + t^3.88 + t^4.04 + t^4.08 + t^4.15 + t^4.25 + 2*t^4.45 + 3*t^4.75 + t^5.08 + 2*t^5.38 + 2*t^5.49 + 2*t^5.54 + 3*t^5.79 + 3*t^5.84 + t^5.91 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6648 | 0.8527 | 0.7796 | [X:[], M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |