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 |
|---|---|---|---|---|---|---|---|---|---|
| 46136 | 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_1\tilde{q}_1^2$ | 0.6704 | 0.8232 | 0.8144 | [X:[], M:[0.9809, 0.9756, 1.1208, 0.6759], q:[0.5821, 0.437], qb:[0.4423, 0.7802], phi:[0.4396]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [-2, 2]], 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 |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_4\phi_1q_2^2$ | . | -2 | t^2.03 + t^2.64 + t^2.93 + t^2.94 + t^3.36 + t^3.65 + t^3.67 + t^3.94 + t^3.96 + t^4.06 + t^4.09 + t^4.38 + t^4.39 + t^4.67 + t^4.81 + t^4.95 + t^4.97 + t^5.28 + t^5.39 + t^5.68 + t^5.69 + t^5.85 + t^5.87 + t^5.89 + t^5.97 - 2*t^6. - t^6.02 + t^6.08 + t^6.11 + t^6.29 + t^6.31 + t^6.4 - t^6.44 + 2*t^6.58 + 2*t^6.59 + t^6.61 + t^6.69 + t^6.84 + t^6.87 + t^6.88 + t^6.98 + t^7. + t^7.01 + t^7.03 + 2*t^7.3 + t^7.32 + t^7.42 + t^7.45 + t^7.59 + t^7.61 + t^7.71 + t^7.72 + t^7.74 + t^7.75 + 2*t^7.88 + 2*t^7.9 + 2*t^7.91 + t^8. - t^8.03 + t^8.11 + t^8.14 + t^8.17 + 2*t^8.32 + t^8.33 - t^8.35 + t^8.43 + t^8.48 + 2*t^8.61 + t^8.62 - t^8.64 - t^8.65 + t^8.72 + t^8.75 + t^8.78 + t^8.8 + t^8.81 + t^8.83 + t^8.87 + 2*t^8.9 - 3*t^8.93 - 3*t^8.94 - t^8.96 - t^4.32/y - t^6.35/y - t^7.25/y - t^7.26/y + t^7.38/y + t^7.39/y + t^7.67/y + t^7.95/y + t^7.97/y + t^8.29/y - t^8.37/y + t^8.39/y + t^8.56/y + t^8.58/y + t^8.68/y + t^8.69/y + t^8.87/y + t^8.97/y + t^8.98/y - t^4.32*y - t^6.35*y - t^7.25*y - t^7.26*y + t^7.38*y + t^7.39*y + t^7.67*y + t^7.95*y + t^7.97*y + t^8.29*y - t^8.37*y + t^8.39*y + t^8.56*y + t^8.58*y + t^8.68*y + t^8.69*y + t^8.87*y + t^8.97*y + t^8.98*y | (g2^2*t^2.03)/g1^2 + t^2.64/g2^4 + t^2.93/(g1*g2^11) + (g1*t^2.94)/g2^7 + g2^4*t^3.36 + t^3.65/(g1*g2^3) + g1*g2*t^3.67 + t^3.94/(g1^2*g2^10) + t^3.96/g2^6 + (g2^4*t^4.06)/g1^4 + g2^12*t^4.09 + (g2^5*t^4.38)/g1 + g1*g2^9*t^4.39 + t^4.67/(g1^2*g2^2) + g2^20*t^4.81 + t^4.95/(g1^3*g2^9) + t^4.97/(g1*g2^5) + t^5.28/g2^8 + (g2^6*t^5.39)/g1^2 + t^5.68/(g1^3*g2) + (g2^3*t^5.69)/g1 + t^5.85/(g1^2*g2^22) + t^5.87/g2^18 + (g1^2*t^5.89)/g2^14 + t^5.97/(g1^4*g2^8) - 2*t^6. - g1^2*g2^4*t^6.02 + (g2^6*t^6.08)/g1^6 + (g2^14*t^6.11)/g1^2 + t^6.29/(g1*g2^7) + (g1*t^6.31)/g2^3 + (g2^7*t^6.4)/g1^3 - g1*g2^15*t^6.44 + (2*t^6.58)/(g1^2*g2^14) + (2*t^6.59)/g2^10 + (g1^2*t^6.61)/g2^6 + t^6.69/g1^4 + (g2^22*t^6.84)/g1^2 + t^6.87/(g1^3*g2^21) + t^6.88/(g1*g2^17) + t^6.98/(g1^5*g2^7) + t^7./(g1^3*g2^3) + (g2*t^7.01)/g1 + g1*g2^5*t^7.03 + (2*t^7.3)/(g1^2*g2^6) + t^7.32/g2^2 + (g2^8*t^7.42)/g1^4 + g2^16*t^7.45 + t^7.59/(g1^3*g2^13) + t^7.61/(g1*g2^9) + (g2*t^7.71)/g1^5 + (g2^5*t^7.72)/g1^3 + (g2^9*t^7.74)/g1 + g1*g2^13*t^7.75 + (2*t^7.88)/(g1^4*g2^20) + (2*t^7.9)/(g1^2*g2^16) + (2*t^7.91)/g2^12 + t^8./(g1^6*g2^6) - (g2^2*t^8.03)/g1^2 + (g2^8*t^8.11)/g1^8 + (g2^16*t^8.14)/g1^4 + g2^24*t^8.17 + (2*t^8.32)/(g1^3*g2^5) + t^8.33/(g1*g2) - g1*g2^3*t^8.35 + (g2^9*t^8.43)/g1^5 + g1*g2^21*t^8.48 + (2*t^8.61)/(g1^4*g2^12) + t^8.62/(g1^2*g2^8) - t^8.64/g2^4 - g1^2*t^8.65 + (g2^2*t^8.72)/g1^6 + (g2^10*t^8.75)/g1^2 + t^8.78/(g1^3*g2^33) + t^8.8/(g1*g2^29) + (g1*t^8.81)/g2^25 + (g1^3*t^8.83)/g2^21 + (g2^24*t^8.87)/g1^4 + t^8.9/(g1^5*g2^19) + g2^32*t^8.9 - (3*t^8.93)/(g1*g2^11) - (3*g1*t^8.94)/g2^7 - (g1^3*t^8.96)/g2^3 - t^4.32/(g2^2*y) - t^6.35/(g1^2*y) - t^7.25/(g1*g2^13*y) - (g1*t^7.26)/(g2^9*y) + (g2^5*t^7.38)/(g1*y) + (g1*g2^9*t^7.39)/y + t^7.67/(g1^2*g2^2*y) + t^7.95/(g1^3*g2^9*y) + t^7.97/(g1*g2^5*y) + (g1^2*t^8.29)/(g2^4*y) - (g2^2*t^8.37)/(g1^4*y) + (g2^6*t^8.39)/(g1^2*y) + t^8.56/(g1*g2^15*y) + (g1*t^8.58)/(g2^11*y) + t^8.68/(g1^3*g2*y) + (g2^3*t^8.69)/(g1*y) + t^8.87/(g2^18*y) + t^8.97/(g1^4*g2^8*y) + t^8.98/(g1^2*g2^4*y) - (t^4.32*y)/g2^2 - (t^6.35*y)/g1^2 - (t^7.25*y)/(g1*g2^13) - (g1*t^7.26*y)/g2^9 + (g2^5*t^7.38*y)/g1 + g1*g2^9*t^7.39*y + (t^7.67*y)/(g1^2*g2^2) + (t^7.95*y)/(g1^3*g2^9) + (t^7.97*y)/(g1*g2^5) + (g1^2*t^8.29*y)/g2^4 - (g2^2*t^8.37*y)/g1^4 + (g2^6*t^8.39*y)/g1^2 + (t^8.56*y)/(g1*g2^15) + (g1*t^8.58*y)/g2^11 + (t^8.68*y)/(g1^3*g2) + (g2^3*t^8.69*y)/g1 + (t^8.87*y)/g2^18 + (t^8.97*y)/(g1^4*g2^8) + (t^8.98*y)/(g1^2*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46699 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 46533 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6667 | 0.8151 | 0.8179 | [X:[], M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | t^2.25 + t^2.63 + t^2.82 + t^3.02 + t^3.37 + t^3.56 + t^3.75 + t^3.95 + t^4.11 + t^4.14 + t^4.3 + 2*t^4.49 + t^4.84 + t^4.88 + t^5.07 + 2*t^5.26 + t^5.61 + t^5.65 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 46586 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ + $ M_5\phi_1q_2^2$ | 0.6911 | 0.8637 | 0.8002 | [X:[], M:[0.9807, 0.9807, 1.1197, 0.6795, 0.6795], q:[0.5791, 0.4402], qb:[0.4402, 0.7799], phi:[0.4402]] | 2*t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + t^3.96 + 4*t^4.08 + 2*t^4.38 + 2*t^4.68 + t^4.8 + 4*t^4.98 + t^5.28 + 2*t^5.4 + 4*t^5.7 + 3*t^5.88 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46770 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ | 0.6312 | 0.7836 | 0.8055 | [X:[], M:[0.8193, 0.7807, 1.2, 0.7613], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | t^2.28 + t^2.34 + t^2.4 + t^2.46 + t^3.48 + t^3.54 + 2*t^3.6 + t^3.66 + t^4.57 + t^4.63 + 2*t^4.68 + 2*t^4.74 + 3*t^4.8 + t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | 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$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y | detail |