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 |
|---|---|---|---|---|---|---|---|---|---|
| 46406 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]] | [X:[], M:[[-4, 1, 8], [0, 0, 8], [0, -1, -4], [-4, 0, -4], [0, 1, 4], [-4, -1, 0]], q:[[0, -1, -8], [4, 0, 0]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_1M_6$, $ M_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_1M_4$, $ M_6\phi_1^2$, $ M_1\phi_1^2$, $ M_2M_6$, $ M_1M_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$ | $M_3^2$, $ M_5^2$ | -3 | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. + 2*t^6.23 - 2*t^6.33 - 2*t^6.42 + 4*t^6.56 + t^6.6 + t^6.65 + 2*t^6.75 + 6*t^6.9 + 2*t^6.94 + 4*t^6.98 + 3*t^7.08 + 3*t^7.13 + 3*t^7.17 + 3*t^7.23 + 3*t^7.27 + 6*t^7.31 + t^7.4 + 2*t^7.42 + 2*t^7.46 + 8*t^7.5 + 2*t^7.54 + 2*t^7.58 + 4*t^7.65 + 2*t^7.73 + t^7.75 + t^7.79 + 2*t^7.83 + 5*t^7.88 + t^7.92 + 2*t^7.96 + t^8. - 3*t^8.02 - t^8.06 + t^8.15 - 6*t^8.25 + 2*t^8.29 - 2*t^8.4 - 2*t^8.44 + 3*t^8.48 - 9*t^8.58 - 8*t^8.67 + t^8.71 + 5*t^8.81 - t^8.85 + 2*t^8.86 + 2*t^8.9 - 2*t^8.92 + 2*t^8.96 - t^4.31/y - (2*t^6.56)/y - t^6.9/y - t^6.94/y - t^6.98/y + t^7.5/y + t^7.65/y + t^7.69/y + t^7.73/y + (2*t^7.83)/y + (2*t^7.88)/y + (2*t^7.92)/y + (2*t^8.06)/y + t^8.21/y + (5*t^8.25)/y + t^8.29/y + (2*t^8.58)/y + (2*t^8.63)/y + (2*t^8.67)/y - (3*t^8.81)/y - t^4.31*y - 2*t^6.56*y - t^6.9*y - t^6.94*y - t^6.98*y + t^7.5*y + t^7.65*y + t^7.69*y + t^7.73*y + 2*t^7.83*y + 2*t^7.88*y + 2*t^7.92*y + 2*t^8.06*y + t^8.21*y + 5*t^8.25*y + t^8.29*y + 2*t^8.58*y + 2*t^8.63*y + 2*t^8.67*y - 3*t^8.81*y | t^2.25/(g1^4*g2) + (g2*g3^8*t^2.25)/g1^4 + t^2.58/(g1^4*g3^4) + (g3^2*t^2.63)/g1^2 + g3^8*t^2.67 + t^3./(g2*g3^4) + g2*g3^4*t^3. + (g3^9*t^3.98)/g1 + t^4.31/(g1*g2*g3^3) + (g2*g3^5*t^4.31)/g1 + t^4.5/(g1^8*g2^2) + (g3^8*t^4.5)/g1^8 + (g2^2*g3^16*t^4.5)/g1^8 + t^4.65/(g1*g2^2*g3^15) + t^4.65/(g1*g3^7) + (g2^2*g3*t^4.65)/g1 + g1^3*g3^5*t^4.73 + t^4.83/(g1^8*g2*g3^4) + (g2*g3^4*t^4.83)/g1^8 + (g3^2*t^4.88)/(g1^6*g2) + (g2*g3^10*t^4.88)/g1^6 + (g3^8*t^4.92)/(g1^4*g2) + (g2*g3^16*t^4.92)/g1^4 + (g1^3*t^5.06)/(g2*g3^7) + g1^3*g2*g3*t^5.06 + t^5.17/(g1^8*g3^8) + t^5.21/(g1^6*g3^2) + t^5.25/(g1^4*g2^2*g3^4) + (3*g3^4*t^5.25)/g1^4 + (g2^2*g3^12*t^5.25)/g1^4 + (g3^10*t^5.29)/g1^2 + g3^16*t^5.33 + g1^7*g3*t^5.48 + t^5.63/(g1^2*g2*g3^2) + (g2*g3^6*t^5.63)/g1^2 - 3*t^6. + (g3^9*t^6.23)/(g1^5*g2) + (g2*g3^17*t^6.23)/g1^5 - t^6.33/(g2*g3^12) - (g2*t^6.33)/g3^4 - (g1^4*t^6.42)/g2 - g1^4*g2*g3^8*t^6.42 + t^6.56/(g1^5*g2^2*g3^3) + (2*g3^5*t^6.56)/g1^5 + (g2^2*g3^13*t^6.56)/g1^5 + (g3^11*t^6.6)/g1^3 + (g3^17*t^6.65)/g1 + t^6.75/(g1^12*g2^3) - (2*g1^4*t^6.75)/g3^4 + (g3^8*t^6.75)/(g1^12*g2) + (g2*g3^16*t^6.75)/g1^12 + (g2^3*g3^24*t^6.75)/g1^12 + t^6.9/(g1^5*g2^3*g3^15) + (2*t^6.9)/(g1^5*g2*g3^7) + (2*g2*g3*t^6.9)/g1^5 + (g2^3*g3^9*t^6.9)/g1^5 + t^6.94/(g1^3*g2*g3) + (g2*g3^7*t^6.94)/g1^3 + (2*g3^5*t^6.98)/(g1*g2) + (2*g2*g3^13*t^6.98)/g1 + t^7.08/(g1^12*g2^2*g3^4) + (g3^4*t^7.08)/g1^12 + (g2^2*g3^12*t^7.08)/g1^12 + (g3^2*t^7.13)/(g1^10*g2^2) + (g3^10*t^7.13)/g1^10 + (g2^2*g3^18*t^7.13)/g1^10 + (g3^8*t^7.17)/(g1^8*g2^2) + (g3^16*t^7.17)/g1^8 + (g2^2*g3^24*t^7.17)/g1^8 + t^7.23/(g1^5*g2^2*g3^19) + t^7.23/(g1^5*g3^11) + (g2^2*t^7.23)/(g1^5*g3^3) + t^7.27/(g1^3*g2^2*g3^13) + t^7.27/(g1^3*g3^5) + (g2^2*g3^3*t^7.27)/g1^3 + (2*t^7.31)/(g1*g2^2*g3^7) + (2*g3*t^7.31)/g1 + (2*g2^2*g3^9*t^7.31)/g1 + g1^3*g3^13*t^7.4 + (g2*t^7.42)/g1^12 + t^7.42/(g1^12*g2*g3^8) + t^7.46/(g1^10*g2*g3^2) + (g2*g3^6*t^7.46)/g1^10 + t^7.5/(g1^8*g2^3*g3^4) + (3*g3^4*t^7.5)/(g1^8*g2) + (3*g2*g3^12*t^7.5)/g1^8 + (g2^3*g3^20*t^7.5)/g1^8 + (g3^10*t^7.54)/(g1^6*g2) + (g2*g3^18*t^7.54)/g1^6 + (g3^16*t^7.58)/(g1^4*g2) + (g2*g3^24*t^7.58)/g1^4 + t^7.65/(g1*g2^3*g3^19) + t^7.65/(g1*g2*g3^11) + (g2*t^7.65)/(g1*g3^3) + (g2^3*g3^5*t^7.65)/g1 + (g1^3*g3*t^7.73)/g2 + g1^3*g2*g3^9*t^7.73 + t^7.75/(g1^12*g3^12) + t^7.79/(g1^10*g3^6) + (2*t^7.83)/g1^8 + t^7.88/(g1^6*g2^2*g3^2) + (3*g3^6*t^7.88)/g1^6 + (g2^2*g3^14*t^7.88)/g1^6 + (g3^12*t^7.92)/g1^4 + (2*g3^18*t^7.96)/g1^2 + g3^24*t^8. - (g1*t^8.02)/(g2^2*g3^17) - (g1*t^8.02)/g3^9 - (g1*g2^2*t^8.02)/g3 - (g1^3*t^8.06)/g3^3 + g1^7*g3^9*t^8.15 - (3*t^8.25)/(g1^4*g2) - (3*g2*g3^8*t^8.25)/g1^4 + (g3^6*t^8.29)/(g1^2*g2) + (g2*g3^14*t^8.29)/g1^2 - (g1^3*t^8.4)/(g2*g3^15) - (g1^3*g2*t^8.4)/g3^7 - (g1^5*t^8.44)/(g2*g3^9) - (g1^5*g2*t^8.44)/g3 + (g3^9*t^8.48)/(g1^9*g2^2) + (g3^17*t^8.48)/g1^9 + (g2^2*g3^25*t^8.48)/g1^9 - (2*t^8.58)/(g1^4*g2^2*g3^12) - (5*t^8.58)/(g1^4*g3^4) - (2*g2^2*g3^4*t^8.58)/g1^4 + t^8.63/(g1^2*g2^2*g3^6) - (2*g3^2*t^8.63)/g1^2 + (g2^2*g3^10*t^8.63)/g1^2 - t^8.67/g2^2 - 6*g3^8*t^8.67 - g2^2*g3^16*t^8.67 + g1^2*g3^14*t^8.71 - (g1^7*t^8.81)/g3^7 + t^8.81/(g1^9*g2^3*g3^3) + (2*g3^5*t^8.81)/(g1^9*g2) + (2*g2*g3^13*t^8.81)/g1^9 + (g2^3*g3^21*t^8.81)/g1^9 - (g1^9*t^8.85)/g3 + (g3^11*t^8.86)/(g1^7*g2) + (g2*g3^19*t^8.86)/g1^7 + (g3^17*t^8.9)/(g1^5*g2) + (g2*g3^25*t^8.9)/g1^5 - t^8.92/(g1^4*g2*g3^16) - (g2*t^8.92)/(g1^4*g3^8) + t^8.96/(g1^2*g2^3*g3^18) + (g2^3*g3^6*t^8.96)/g1^2 - (g3*t^4.31)/(g1*y) - (g3*t^6.56)/(g1^5*g2*y) - (g2*g3^9*t^6.56)/(g1^5*y) - t^6.9/(g1^5*g3^3*y) - (g3^3*t^6.94)/(g1^3*y) - (g3^9*t^6.98)/(g1*y) + (g3^8*t^7.5)/(g1^8*y) + t^7.65/(g1*g3^7*y) + (g1*t^7.69)/(g3*y) + (g1^3*g3^5*t^7.73)/y + t^7.83/(g1^8*g2*g3^4*y) + (g2*g3^4*t^7.83)/(g1^8*y) + (g3^2*t^7.88)/(g1^6*g2*y) + (g2*g3^10*t^7.88)/(g1^6*y) + (g3^8*t^7.92)/(g1^4*g2*y) + (g2*g3^16*t^7.92)/(g1^4*y) + (g1^3*t^8.06)/(g2*g3^7*y) + (g1^3*g2*g3*t^8.06)/y + t^8.21/(g1^6*g3^2*y) + t^8.25/(g1^4*g2^2*g3^4*y) + (3*g3^4*t^8.25)/(g1^4*y) + (g2^2*g3^12*t^8.25)/(g1^4*y) + (g3^10*t^8.29)/(g1^2*y) + (g2*t^8.58)/(g1^4*y) + t^8.58/(g1^4*g2*g3^8*y) + t^8.63/(g1^2*g2*g3^2*y) + (g2*g3^6*t^8.63)/(g1^2*y) + (g3^4*t^8.67)/(g2*y) + (g2*g3^12*t^8.67)/y - (g3*t^8.81)/(g1^9*g2^2*y) - (g3^9*t^8.81)/(g1^9*y) - (g2^2*g3^17*t^8.81)/(g1^9*y) - (g3*t^4.31*y)/g1 - (g3*t^6.56*y)/(g1^5*g2) - (g2*g3^9*t^6.56*y)/g1^5 - (t^6.9*y)/(g1^5*g3^3) - (g3^3*t^6.94*y)/g1^3 - (g3^9*t^6.98*y)/g1 + (g3^8*t^7.5*y)/g1^8 + (t^7.65*y)/(g1*g3^7) + (g1*t^7.69*y)/g3 + g1^3*g3^5*t^7.73*y + (t^7.83*y)/(g1^8*g2*g3^4) + (g2*g3^4*t^7.83*y)/g1^8 + (g3^2*t^7.88*y)/(g1^6*g2) + (g2*g3^10*t^7.88*y)/g1^6 + (g3^8*t^7.92*y)/(g1^4*g2) + (g2*g3^16*t^7.92*y)/g1^4 + (g1^3*t^8.06*y)/(g2*g3^7) + g1^3*g2*g3*t^8.06*y + (t^8.21*y)/(g1^6*g3^2) + (t^8.25*y)/(g1^4*g2^2*g3^4) + (3*g3^4*t^8.25*y)/g1^4 + (g2^2*g3^12*t^8.25*y)/g1^4 + (g3^10*t^8.29*y)/g1^2 + (g2*t^8.58*y)/g1^4 + (t^8.58*y)/(g1^4*g2*g3^8) + (t^8.63*y)/(g1^2*g2*g3^2) + (g2*g3^6*t^8.63*y)/g1^2 + (g3^4*t^8.67*y)/g2 + g2*g3^12*t^8.67*y - (g3*t^8.81*y)/(g1^9*g2^2) - (g3^9*t^8.81*y)/g1^9 - (g2^2*g3^17*t^8.81*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46938 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.846, 0.8524, 1.0534, 1.0471, 0.9466, 0.9529], q:[0.6272, 0.5267], qb:[0.5203, 0.4262], phi:[0.4749]] | t^2.54 + t^2.56 + t^2.84 + t^2.85 + t^2.86 + t^3.14 + t^3.16 + t^3.98 + t^4.26 + t^4.28 + t^4.55 + t^4.57 + 2*t^4.58 + t^4.87 + t^4.89 + t^5.08 + t^5.1 + t^5.11 + t^5.19 + t^5.38 + t^5.39 + t^5.4 + t^5.41 + t^5.42 + t^5.68 + t^5.69 + 2*t^5.7 + t^5.71 + t^5.72 + t^5.99 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 47230 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4\phi_1^2$ | 0.7182 | 0.8876 | 0.8092 | [X:[], M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | t^2.46 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.87 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + 3*t^4.95 + 2*t^5.1 + 4*t^5.28 + 2*t^5.46 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 47111 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[0.8102, 0.8102, 1.0, 1.0, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.5949, 0.4051], phi:[0.4525]] | 3*t^2.43 + t^2.72 + 3*t^3. + t^3.79 + 3*t^4.36 + 6*t^4.86 + 6*t^4.93 + 3*t^5.15 + 7*t^5.43 + 3*t^5.72 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 46865 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7686 | 0.9726 | 0.7902 | [X:[], M:[0.7511, 0.8907, 1.0, 0.8603, 1.0, 0.7511, 0.6715], q:[0.5546, 0.6943], qb:[0.5546, 0.4454], phi:[0.4378]] | t^2.01 + 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^4.03 + 2*t^4.27 + 2*t^4.31 + 3*t^4.51 + t^4.6 + 4*t^4.64 + t^4.69 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.93 + 2*t^5.01 + 2*t^5.06 + t^5.16 + t^5.21 + 5*t^5.25 + t^5.3 + t^5.34 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 46973 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ \phi_1q_2^2$ | 0.7372 | 0.9296 | 0.793 | [X:[], M:[0.669, 0.9207, 1.0, 0.7483, 1.0, 0.669], q:[0.5397, 0.7914], qb:[0.5397, 0.4603], phi:[0.4172]] | 2*t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 4*t^4.01 + 4*t^4.25 + 4*t^4.49 + 2*t^4.51 + t^4.75 + 2*t^4.77 + 6*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.52 - 2*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46133 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.8092 | 1.0197 | 0.7935 | [X:[], M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]] | 7*t^2.26 + 28*t^4.51 + 10*t^4.87 - 16*t^6. - t^4.13/y - t^4.13*y | detail |