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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ | 0.7126 | 0.866 | 0.8228 | [X:[], M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | [X:[], M:[[-4, 0, 4], [4, -4, 4], [4, 0, -4], [-8, 0, -8]], q:[[-4, 0, -4], [8, 0, 0]], qb:[[0, 4, 0], [0, 0, 8]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_1$, $ q_2\tilde{q}_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$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | $M_1^2$, $ M_3^2$ | -3 | t^2.71 + t^2.73 + t^2.75 + 2*t^3. + 2*t^3.54 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 2*t^4.91 + t^5.2 + t^5.41 + t^5.44 + t^5.46 + t^5.48 + t^5.5 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + 2*t^6.54 + t^6.84 + t^6.87 + 3*t^7.08 + 2*t^7.09 + 2*t^7.12 + 3*t^7.32 + 3*t^7.34 + 2*t^7.36 + t^7.41 + 4*t^7.61 + 2*t^7.66 - 3*t^7.88 + 3*t^7.91 + t^7.95 + t^8.12 + t^8.14 + 6*t^8.16 - 2*t^8.18 + t^8.19 + 2*t^8.2 + t^8.21 + 2*t^8.23 + t^8.25 + 3*t^8.45 - t^8.47 + 2*t^8.48 - 5*t^8.71 + 2*t^8.74 - 4*t^8.75 + t^8.77 + 4*t^8.98 - t^4.36/y - t^7.07/y - t^7.09/y - t^7.12/y + t^7.61/y + t^7.64/y + t^7.66/y + t^8.44/y + t^8.46/y + t^8.48/y + (2*t^8.71)/y + (2*t^8.73)/y + (2*t^8.75)/y - t^4.36*y - t^7.07*y - t^7.09*y - t^7.12*y + t^7.61*y + t^7.64*y + t^7.66*y + t^8.44*y + t^8.46*y + t^8.48*y + 2*t^8.71*y + 2*t^8.73*y + 2*t^8.75*y | (g1^4*g3^4*t^2.71)/g2^4 + t^2.73/(g1^2*g2^2*g3^2) + t^2.75/(g1^8*g3^8) + (g1^4*t^3.)/g3^4 + (g3^4*t^3.)/g1^4 + g1^8*g2^4*t^3.54 + g2^4*g3^8*t^3.54 + t^4.12/(g1^9*g2*g3^9) + (g1^3*t^4.36)/(g2*g3^5) + (g3^3*t^4.36)/(g1^5*g2) + (g1^15*t^4.61)/(g2*g3) + (g1^7*g3^7*t^4.61)/g2 + (g3^15*t^4.61)/(g1*g2) + (g2^3*t^4.66)/(g1^5*g3^5) + (g1^7*g2^3*t^4.91)/g3 + (g2^3*g3^7*t^4.91)/g1 + (g2^7*t^5.2)/(g1*g3) + (g1^8*g3^8*t^5.41)/g2^8 + (g1^2*g3^2*t^5.44)/g2^6 + t^5.46/(g1^4*g2^4*g3^4) + t^5.48/(g1^10*g2^2*g3^10) + t^5.5/(g1^16*g3^16) + (g1^2*t^5.73)/(g2^2*g3^6) + (g3^2*t^5.73)/(g1^6*g2^2) - 3*t^6. + (g1^6*g2^2*t^6.27)/g3^2 + (g2^2*g3^6*t^6.27)/g1^2 + (g1^12*g2^4*t^6.54)/g3^4 + (g2^4*g3^12*t^6.54)/g1^4 + t^6.84/(g1^11*g2^3*g3^11) + t^6.87/(g1^17*g2*g3^17) + g1^16*g2^8*t^7.08 + g1^8*g2^8*g3^8*t^7.08 + g2^8*g3^16*t^7.08 + (g1*t^7.09)/(g2^3*g3^7) + (g3*t^7.09)/(g1^7*g2^3) + t^7.12/(g1^5*g2*g3^13) + t^7.12/(g1^13*g2*g3^5) + (g1^19*g3^3*t^7.32)/g2^5 + (g1^11*g3^11*t^7.32)/g2^5 + (g1^3*g3^19*t^7.32)/g2^5 + (g1^13*t^7.34)/(g2^3*g3^3) + (g1^5*g3^5*t^7.34)/g2^3 + (g3^13*t^7.34)/(g1^3*g2^3) + (g1^7*t^7.36)/(g2*g3^9) + (g3^7*t^7.36)/(g1^9*g2) + (g2^3*t^7.41)/(g1^13*g3^13) + (g1^19*t^7.61)/(g2*g3^5) + (g1^11*g3^3*t^7.61)/g2 + (g1^3*g3^11*t^7.61)/g2 + (g3^19*t^7.61)/(g1^5*g2) + (g2^3*t^7.66)/(g1*g3^9) + (g2^3*t^7.66)/(g1^9*g3) - g1^17*g2*g3*t^7.88 - g1^9*g2*g3^9*t^7.88 - g1*g2*g3^17*t^7.88 + (g1^11*g2^3*t^7.91)/g3^5 + g1^3*g2^3*g3^3*t^7.91 + (g2^3*g3^11*t^7.91)/g1^5 + (g2^7*t^7.95)/(g1^9*g3^9) + (g1^12*g3^12*t^8.12)/g2^12 + (g1^6*g3^6*t^8.14)/g2^10 + (2*t^8.16)/g2^8 + (g1^23*g2^3*t^8.16)/g3 + g1^15*g2^3*g3^7*t^8.16 + g1^7*g2^3*g3^15*t^8.16 + (g2^3*g3^23*t^8.16)/g1 - g1^9*g2^5*g3*t^8.18 - g1*g2^5*g3^9*t^8.18 + t^8.19/(g1^6*g2^6*g3^6) + (g1^3*g2^7*t^8.2)/g3^5 + (g2^7*g3^3*t^8.2)/g1^5 + t^8.21/(g1^12*g2^4*g3^12) + (2*t^8.23)/(g1^18*g2^2*g3^18) + t^8.25/(g1^24*g3^24) + (g1^15*g2^7*t^8.45)/g3 + g1^7*g2^7*g3^7*t^8.45 + (g2^7*g3^15*t^8.45)/g1 - g1*g2^9*g3*t^8.47 + t^8.48/(g1^6*g2^2*g3^14) + t^8.48/(g1^14*g2^2*g3^6) - (g1^12*t^8.71)/(g2^4*g3^4) - (3*g1^4*g3^4*t^8.71)/g2^4 - (g3^12*t^8.71)/(g1^4*g2^4) + (g1^6*t^8.73)/(g2^2*g3^10) - (2*t^8.73)/(g1^2*g2^2*g3^2) + (g3^6*t^8.73)/(g1^10*g2^2) + (g1^7*g2^11*t^8.74)/g3 + (g2^11*g3^7*t^8.74)/g1 - (4*t^8.75)/(g1^8*g3^8) + (g2^2*t^8.77)/(g1^14*g3^14) + (g1^18*t^8.98)/(g2^2*g3^6) + (g1^10*g3^2*t^8.98)/g2^2 + (g1^2*g3^10*t^8.98)/g2^2 + (g3^18*t^8.98)/(g1^6*g2^2) - t^4.36/(g1*g2*g3*y) - (g1^3*g3^3*t^7.07)/(g2^5*y) - t^7.09/(g1^3*g2^3*g3^3*y) - t^7.12/(g1^9*g2*g3^9*y) + (g1^7*g3^7*t^7.61)/(g2*y) + (g1*g2*g3*t^7.64)/y + (g2^3*t^7.66)/(g1^5*g3^5*y) + (g1^2*g3^2*t^8.44)/(g2^6*y) + t^8.46/(g1^4*g2^4*g3^4*y) + t^8.48/(g1^10*g2^2*g3^10*y) + (g1^8*t^8.71)/(g2^4*y) + (g3^8*t^8.71)/(g2^4*y) + (g1^2*t^8.73)/(g2^2*g3^6*y) + (g3^2*t^8.73)/(g1^6*g2^2*y) + t^8.75/(g1^4*g3^12*y) + t^8.75/(g1^12*g3^4*y) - (t^4.36*y)/(g1*g2*g3) - (g1^3*g3^3*t^7.07*y)/g2^5 - (t^7.09*y)/(g1^3*g2^3*g3^3) - (t^7.12*y)/(g1^9*g2*g3^9) + (g1^7*g3^7*t^7.61*y)/g2 + g1*g2*g3*t^7.64*y + (g2^3*t^7.66*y)/(g1^5*g3^5) + (g1^2*g3^2*t^8.44*y)/g2^6 + (t^8.46*y)/(g1^4*g2^4*g3^4) + (t^8.48*y)/(g1^10*g2^2*g3^10) + (g1^8*t^8.71*y)/g2^4 + (g3^8*t^8.71*y)/g2^4 + (g1^2*t^8.73*y)/(g2^2*g3^6) + (g3^2*t^8.73*y)/(g1^6*g2^2) + (t^8.75*y)/(g1^4*g3^12) + (t^8.75*y)/(g1^12*g3^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46198 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ | 0.7004 | 0.8555 | 0.8187 | [X:[], M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | t^2.67 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.22 + t^4.11 + t^4.33 + 2*t^4.44 + t^4.56 + 2*t^4.67 + 3*t^4.78 + t^5.34 + t^5.56 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 46314 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ | 0.7067 | 0.861 | 0.8208 | [X:[], M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.62 + t^2.81 + 3*t^3. + 2*t^3.38 + t^4.03 + 3*t^4.41 + 6*t^4.78 + t^5.24 + t^5.43 + t^5.62 + 3*t^5.81 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 46268 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3\phi_1^2$ | 0.7046 | 0.8591 | 0.8202 | [X:[], M:[0.9439, 0.9439, 1.0561, 0.9439], q:[0.472, 0.5841], qb:[0.5841, 0.472], phi:[0.472]] | 4*t^2.83 + 2*t^3.17 + t^3.5 + 3*t^4.25 + 4*t^4.58 + 3*t^4.92 + 6*t^5.66 - t^4.42/y - t^4.42*y | detail | |
| 46236 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ | 0.7008 | 0.8558 | 0.8188 | [X:[], M:[1.0, 0.8827, 1.0, 1.0391], q:[0.5195, 0.4805], qb:[0.5977, 0.4805], phi:[0.4805]] | t^2.65 + t^2.88 + 2*t^3. + t^3.12 + 2*t^3.23 + 3*t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.68 + t^4.79 + t^5.03 + t^5.3 + t^5.53 + t^5.77 + 2*t^5.88 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 46140 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ | 0.7077 | 0.8618 | 0.8212 | [X:[], M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | t^2.58 + t^2.79 + 3*t^3. + 2*t^3.42 + 6*t^4.4 + 3*t^4.81 + t^5.17 + t^5.23 + t^5.38 + t^5.58 + 3*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 46244 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[1.0, 0.9226, 1.0, 0.9324, 1.0725], q:[0.4662, 0.5338], qb:[0.6112, 0.5338], phi:[0.4638]] | t^2.77 + t^2.8 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.19 + 2*t^4.39 + 3*t^4.59 + t^4.62 + 2*t^4.83 + t^5.06 + t^5.54 + t^5.59 + t^5.99 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
| 46128 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 46225 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 46145 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6955 | 0.8466 | 0.8215 | [X:[], M:[1.0, 0.7479, 1.0, 0.9217], q:[0.4608, 0.5392], qb:[0.7913, 0.5392], phi:[0.4174]] | t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
| 46292 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.6613 | 0.8142 | 0.8122 | [X:[], M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.3 + t^2.52 + t^2.68 + t^3.05 + t^3.17 + t^3.48 + t^3.64 + t^3.86 + t^4.07 + t^4.13 + t^4.29 + t^4.5 + t^4.61 + t^4.82 + t^4.94 + t^4.98 + t^5.03 + t^5.19 + t^5.35 + t^5.47 + t^5.68 + t^5.72 + t^5.84 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45897 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.7737 | 0.9544 | 0.8107 | [X:[], M:[0.7498, 0.7801, 0.7498, 0.7817], q:[0.641, 0.6091], qb:[0.5788, 0.6091], phi:[0.3905]] | 2*t^2.25 + 2*t^2.34 + t^2.35 + 2*t^3.56 + 3*t^4.5 + 6*t^4.59 + t^4.64 + 2*t^4.68 + 4*t^4.69 + 2*t^4.74 + 4*t^4.83 + 2*t^4.92 + t^5.02 + 3*t^5.81 + 2*t^5.91 - 6*t^6. - t^4.17/y - t^4.17*y | detail |