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 |
|---|---|---|---|---|---|---|---|---|---|
| 46367 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [2, 10]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_1M_4$, $ M_2M_5$, $ M_2M_4$, $ \phi_1^4$, $ M_3M_5$, $ M_3M_4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_5\phi_1\tilde{q}_1^2$ | . | -2 | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^6.01 + t^6.08 + t^6.09 + 2*t^6.1 + 2*t^6.12 + t^6.29 + t^6.31 + t^6.4 + t^6.41 + 2*t^6.59 + t^6.6 + t^6.61 + t^6.69 + t^6.71 + t^6.72 + t^6.82 + t^6.84 + t^6.88 - t^6.91 + t^6.98 + 2*t^7. + 3*t^7.01 + 2*t^7.03 + 2*t^7.31 + t^7.32 + t^7.41 + t^7.42 + 2*t^7.44 + t^7.6 - t^7.63 + t^7.7 + 2*t^7.72 + 3*t^7.73 + 2*t^7.75 + 2*t^7.89 + 2*t^7.91 + 2*t^7.92 + t^7.94 + t^8. - t^8.03 - 3*t^8.04 - t^8.05 + t^8.1 + t^8.12 + 2*t^8.13 + 2*t^8.14 + 3*t^8.16 + 2*t^8.32 + t^8.33 - t^8.35 + t^8.42 + t^8.44 + t^8.45 + t^8.47 + 2*t^8.61 + 2*t^8.63 + t^8.72 + t^8.73 + 2*t^8.74 + t^8.8 + t^8.81 + t^8.83 + t^8.84 + t^8.85 + t^8.86 + 2*t^8.88 + t^8.9 - 4*t^8.93 - 4*t^8.95 - t^8.96 - t^4.32/y - t^6.35/y - t^6.36/y + t^7.06/y - t^7.25/y - t^7.27/y + t^7.37/y + t^7.39/y + t^7.67/y + t^7.68/y + t^7.96/y + (2*t^7.97)/y + t^7.99/y + t^8.28/y + t^8.29/y - t^8.37/y + t^8.57/y + t^8.59/y + t^8.68/y + (2*t^8.69)/y + t^8.71/y + t^8.88/y + t^8.97/y + t^8.99/y - t^4.32*y - t^6.35*y - t^6.36*y + t^7.06*y - t^7.25*y - t^7.27*y + t^7.37*y + t^7.39*y + t^7.67*y + t^7.68*y + t^7.96*y + 2*t^7.97*y + t^7.99*y + t^8.28*y + t^8.29*y - t^8.37*y + t^8.57*y + t^8.59*y + t^8.68*y + 2*t^8.69*y + t^8.71*y + t^8.88*y + t^8.97*y + t^8.99*y | g1^2*g2^10*t^2.03 + g2^6*t^2.04 + t^2.64/g2^4 + (g1*t^2.93)/g2^7 + t^2.95/(g1*g2^11) + g2^4*t^3.36 + g1*g2*t^3.65 + t^3.67/(g1*g2^3) + (g1^2*t^3.95)/g2^2 + g1^4*g2^20*t^4.05 + g1^2*g2^16*t^4.06 + 2*g2^12*t^4.08 + g1*g2^9*t^4.37 + (g2^5*t^4.39)/g1 + g1^2*g2^6*t^4.67 + g2^2*t^4.68 + g2^20*t^4.8 + g1^3*g2^3*t^4.96 + (2*g1*t^4.97)/g2 + t^4.99/(g1*g2^5) + t^5.28/g2^8 + g1^2*g2^14*t^5.39 + g2^10*t^5.4 + g1^3*g2^11*t^5.68 + 2*g1*g2^7*t^5.69 + (g2^3*t^5.71)/g1 + (g1^2*t^5.87)/g2^14 + t^5.88/g2^18 + t^5.9/(g1^2*g2^22) + g1^4*g2^8*t^5.97 - 2*t^6. - t^6.01/(g1^2*g2^4) + g1^6*g2^30*t^6.08 + g1^4*g2^26*t^6.09 + 2*g1^2*g2^22*t^6.1 + 2*g2^18*t^6.12 + (g1*t^6.29)/g2^3 + t^6.31/(g1*g2^7) + g1^3*g2^19*t^6.4 + g1*g2^15*t^6.41 + (2*g1^2*t^6.59)/g2^6 + t^6.6/g2^10 + t^6.61/(g1^2*g2^14) + g1^4*g2^16*t^6.69 + g1^2*g2^12*t^6.71 + g2^8*t^6.72 + g1^2*g2^30*t^6.82 + g2^26*t^6.84 + (g1^3*t^6.88)/g2^9 - t^6.91/(g1*g2^17) + g1^5*g2^13*t^6.98 + 2*g1^3*g2^9*t^7. + 3*g1*g2^5*t^7.01 + (2*g2*t^7.03)/g1 + 2*g1^2*g2^2*t^7.31 + t^7.32/g2^2 + g1^4*g2^24*t^7.41 + g1^2*g2^20*t^7.42 + 2*g2^16*t^7.44 + (g1^3*t^7.6)/g2 - t^7.63/(g1*g2^9) + g1^5*g2^21*t^7.7 + 2*g1^3*g2^17*t^7.72 + 3*g1*g2^13*t^7.73 + (2*g2^9*t^7.75)/g1 + (2*g1^4*t^7.89)/g2^4 + (2*g1^2*t^7.91)/g2^8 + (2*t^7.92)/g2^12 + t^7.94/(g1^2*g2^16) + g1^6*g2^18*t^8. - g1^2*g2^10*t^8.03 - 3*g2^6*t^8.04 - (g2^2*t^8.05)/g1^2 + g1^8*g2^40*t^8.1 + g1^6*g2^36*t^8.12 + 2*g1^4*g2^32*t^8.13 + 2*g1^2*g2^28*t^8.14 + 3*g2^24*t^8.16 + 2*g1^3*g2^7*t^8.32 + g1*g2^3*t^8.33 - t^8.35/(g1*g2) + g1^5*g2^29*t^8.42 + g1^3*g2^25*t^8.44 + g1*g2^21*t^8.45 + (g2^17*t^8.47)/g1 + 2*g1^4*g2^4*t^8.61 + 2*g1^2*t^8.63 + g1^6*g2^26*t^8.72 + g1^4*g2^22*t^8.73 + 2*g1^2*g2^18*t^8.74 + (g1^3*t^8.8)/g2^21 + (g1*t^8.81)/g2^25 + t^8.83/(g1*g2^29) + t^8.84/(g1^3*g2^33) + g1^4*g2^40*t^8.85 + g1^2*g2^36*t^8.86 + 2*g2^32*t^8.88 + g1^5*g2*t^8.9 - (4*g1*t^8.93)/g2^7 - (4*t^8.95)/(g1*g2^11) - t^8.96/(g1^3*g2^15) - t^4.32/(g2^2*y) - (g1^2*g2^8*t^6.35)/y - (g2^4*t^6.36)/y + (g1^2*g2^16*t^7.06)/y - (g1*t^7.25)/(g2^9*y) - t^7.27/(g1*g2^13*y) + (g1*g2^9*t^7.37)/y + (g2^5*t^7.39)/(g1*y) + (g1^2*g2^6*t^7.67)/y + (g2^2*t^7.68)/y + (g1^3*g2^3*t^7.96)/y + (2*g1*t^7.97)/(g2*y) + t^7.99/(g1*g2^5*y) + t^8.28/(g2^8*y) + t^8.29/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.37)/y + (g1*t^8.57)/(g2^11*y) + t^8.59/(g1*g2^15*y) + (g1^3*g2^11*t^8.68)/y + (2*g1*g2^7*t^8.69)/y + (g2^3*t^8.71)/(g1*y) + t^8.88/(g2^18*y) + (g1^4*g2^8*t^8.97)/y + (g1^2*g2^4*t^8.99)/y - (t^4.32*y)/g2^2 - g1^2*g2^8*t^6.35*y - g2^4*t^6.36*y + g1^2*g2^16*t^7.06*y - (g1*t^7.25*y)/g2^9 - (t^7.27*y)/(g1*g2^13) + g1*g2^9*t^7.37*y + (g2^5*t^7.39*y)/g1 + g1^2*g2^6*t^7.67*y + g2^2*t^7.68*y + g1^3*g2^3*t^7.96*y + (2*g1*t^7.97*y)/g2 + (t^7.99*y)/(g1*g2^5) + (t^8.28*y)/g2^8 + (t^8.29*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.37*y + (g1*t^8.57*y)/g2^11 + (t^8.59*y)/(g1*g2^15) + g1^3*g2^11*t^8.68*y + 2*g1*g2^7*t^8.69*y + (g2^3*t^8.71*y)/g1 + (t^8.88*y)/g2^18 + g1^4*g2^8*t^8.97*y + g1^2*g2^4*t^8.99*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 48287 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_4M_5$ + $ M_2X_1$ | 0.5037 | 0.6166 | 0.8169 | [X:[1.4182], M:[0.9089, 0.5818, 1.2243, 0.8364, 1.1636], q:[0.8668, 0.2243], qb:[0.5514, 0.8061], phi:[0.3879]] | t^2.33 + t^2.51 + t^2.73 + t^3.09 + t^3.49 + t^3.67 + t^4.25 + t^4.44 + t^4.47 + t^4.65 + t^4.84 + t^5.02 + t^5.42 + t^5.45 + t^5.6 + t^5.82 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 48164 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6874 | 0.8556 | 0.8034 | [X:[], M:[1.0083, 0.9432, 1.1219, 0.6829, 0.7479], q:[0.5852, 0.4065], qb:[0.4716, 0.7805], phi:[0.439]] | t^2.05 + t^2.24 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.56 + t^3.76 + 2*t^4.1 + t^4.15 + 2*t^4.29 + 2*t^4.49 + t^4.68 + t^4.83 + 2*t^4.88 + 2*t^5.07 + 2*t^5.27 + t^5.41 + 2*t^5.61 + t^5.66 + t^5.8 + t^5.85 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 11768/12477, M3: 4666/4159, M4: 2840/4159, M5: 9332/12477, q1: 2434/4159, q2: 5072/12477, qb1: 5884/12477, qb2: 3246/4159, phi1: 1826/4159} |
| 47232 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.6252 | 0.7769 | 0.8047 | [X:[], M:[1.0648, 0.7824, 1.1451, 0.7176, 1.0], q:[0.6489, 0.2863], qb:[0.5687, 0.7863], phi:[0.4275]] | t^2.15 + t^2.35 + t^2.56 + t^3. + t^3.19 + t^3.22 + t^3.44 + t^4.06 + t^4.09 + 2*t^4.31 + t^4.5 + 2*t^4.69 + t^4.72 + t^4.94 + t^5.13 + t^5.18 + 2*t^5.35 + t^5.37 + t^5.54 + 2*t^5.56 + t^5.59 + t^5.78 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 46871 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7119 | 0.9046 | 0.787 | [X:[], M:[0.9822, 0.9822, 1.119, 0.6785, 0.6785, 0.6785], q:[0.5773, 0.4405], qb:[0.4405, 0.7798], phi:[0.4405]] | 3*t^2.04 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.66 + 7*t^4.07 + 2*t^4.37 + 3*t^4.68 + t^4.79 + 6*t^4.98 + t^5.29 + 3*t^5.39 + 6*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46331 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |