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 |
|---|---|---|---|---|---|---|---|---|---|
| 54573 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6913 | 0.874 | 0.791 | [X:[], M:[1.1668, 1.0445, 0.8332, 0.7929, 1.0813, 0.7478, 0.7074], q:[0.3964, 0.4368], qb:[0.5591, 0.7703], phi:[0.4593]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [-2, 18], [1, -5]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_4M_7$, $ M_4M_6$, $ M_3M_7$, $ \phi_1\tilde{q}_1^2$, $ M_3M_6$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_2M_7$, $ M_5M_7$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_5M_6$, $ M_3q_2\tilde{q}_1$, $ M_4M_5$, $ M_1M_7$, $ M_3M_5$, $ M_1M_6$, $ q_2^2\tilde{q}_1^2$ | . | -2 | t^2.12 + t^2.24 + t^2.38 + t^2.5 + t^2.99 + t^3.13 + t^3.24 + t^3.5 + t^3.99 + t^4. + 2*t^4.24 + 2*t^4.37 + t^4.49 + t^4.5 + 2*t^4.62 + t^4.73 + t^4.74 + t^4.76 + t^4.88 + t^5. + t^5.11 + t^5.23 + t^5.26 + 2*t^5.37 + t^5.38 + 2*t^5.49 + 2*t^5.62 + 2*t^5.74 + t^5.98 - 2*t^6. + t^6.11 + t^6.12 + 2*t^6.23 + t^6.24 - t^6.26 + t^6.27 + 2*t^6.37 + t^6.38 + 4*t^6.49 + t^6.5 + 2*t^6.61 + 2*t^6.62 + t^6.73 + 3*t^6.74 + t^6.85 + 2*t^6.87 + t^6.88 - t^6.89 + 2*t^6.98 + 2*t^6.99 + t^7. - t^7.01 + t^7.11 + t^7.12 + t^7.13 + t^7.14 + 3*t^7.23 + t^7.24 + 2*t^7.35 + t^7.47 + 3*t^7.49 + 2*t^7.5 + 3*t^7.61 + t^7.62 + t^7.72 + 2*t^7.73 + 2*t^7.74 - t^7.76 + 3*t^7.87 + t^7.98 + 3*t^7.99 + 2*t^8. - t^8.01 + t^8.1 - 3*t^8.12 + t^8.22 + 2*t^8.23 - t^8.24 + 3*t^8.35 + 2*t^8.36 - 4*t^8.38 + t^8.39 + 3*t^8.48 + 3*t^8.49 - 3*t^8.5 + t^8.51 + 4*t^8.61 + t^8.62 - t^8.63 + t^8.65 + t^8.72 + 6*t^8.73 + t^8.74 + 2*t^8.75 - t^8.76 + 2*t^8.85 + 3*t^8.87 + t^8.96 + t^8.97 + 2*t^8.98 + t^8.99 - t^4.38/y - t^6.5/y - t^6.62/y - t^6.76/y + t^7.24/y + t^7.37/y + t^7.5/y - t^7.51/y + (2*t^7.62)/y + t^7.74/y + t^7.88/y + t^8./y + t^8.11/y + t^8.13/y + t^8.23/y + (2*t^8.26)/y + (2*t^8.37)/y + t^8.38/y + (2*t^8.49)/y + t^8.51/y + t^8.62/y + t^8.63/y + t^8.74/y - t^8.86/y - t^4.38*y - t^6.5*y - t^6.62*y - t^6.76*y + t^7.24*y + t^7.37*y + t^7.5*y - t^7.51*y + 2*t^7.62*y + t^7.74*y + t^7.88*y + t^8.*y + t^8.11*y + t^8.13*y + t^8.23*y + 2*t^8.26*y + 2*t^8.37*y + t^8.38*y + 2*t^8.49*y + t^8.51*y + t^8.62*y + t^8.63*y + t^8.74*y - t^8.86*y | (g1*t^2.12)/g2^5 + (g2^18*t^2.24)/g1^2 + (g1^2*t^2.38)/g2^16 + (g2^7*t^2.5)/g1 + (g2^15*t^2.99)/g1 + (g2^8*t^3.13)/g1^2 + g2^4*t^3.24 + (g1*t^3.5)/g2^7 + g1*g2*t^3.99 + (g2^28*t^4.)/g1^4 + (2*g1^2*t^4.24)/g2^10 + (2*g2^13*t^4.37)/g1 + (g2^36*t^4.49)/g1^4 + (g1^3*t^4.5)/g2^21 + 2*g2^2*t^4.62 + (g1^2*t^4.73)/g2^2 + (g2^25*t^4.74)/g1^3 + (g1^4*t^4.76)/g2^32 + (g1*t^4.88)/g2^9 + (g2^14*t^5.)/g1^2 + g2^10*t^5.11 + (g2^33*t^5.23)/g1^3 + (g2^3*t^5.26)/g1 + (2*g1*t^5.37)/g2 + (g2^26*t^5.38)/g1^4 + (2*g2^22*t^5.49)/g1^2 + (2*g1^2*t^5.62)/g2^12 + (2*g2^11*t^5.74)/g1 + (g2^30*t^5.98)/g1^2 - 2*t^6. + (g1^2*t^6.11)/g2^4 + (g2^23*t^6.12)/g1^3 + (2*g2^19*t^6.23)/g1 + (g2^46*t^6.24)/g1^6 - (g1*t^6.26)/g2^11 + (g2^16*t^6.27)/g1^4 + (2*g1^3*t^6.37)/g2^15 + (g2^12*t^6.38)/g1^2 + 4*g2^8*t^6.49 + (g2^35*t^6.5)/g1^5 + (2*g2^31*t^6.61)/g1^3 + (2*g1^4*t^6.62)/g2^26 + (g2^54*t^6.73)/g1^6 + (3*g1*t^6.74)/g2^3 + (g1^3*t^6.85)/g2^7 + (2*g2^20*t^6.87)/g1^2 + (g1^5*t^6.88)/g2^37 - t^6.89/g2^10 + 2*g2^16*t^6.98 + (2*g2^43*t^6.99)/g1^5 + (g1^2*t^7.)/g2^14 - (g2^13*t^7.01)/g1^3 + (g1^4*t^7.11)/g2^18 + (g2^9*t^7.12)/g1 + (g2^36*t^7.13)/g1^6 + (g1^6*t^7.14)/g2^48 + 3*g1*g2^5*t^7.23 + (g2^32*t^7.24)/g1^4 + (2*g2^28*t^7.35)/g1^2 + (g2^51*t^7.47)/g1^5 + (3*g1^2*t^7.49)/g2^6 + (2*g2^21*t^7.5)/g1^3 + (3*g2^17*t^7.61)/g1 + (g2^44*t^7.62)/g1^6 + g1*g2^13*t^7.72 + (2*g2^40*t^7.73)/g1^4 + (2*g1^3*t^7.74)/g2^17 - (g2^10*t^7.76)/g1^2 + 3*g2^6*t^7.87 + g1^2*g2^2*t^7.98 + (3*g2^29*t^7.99)/g1^3 + (g1^4*t^8.)/g2^28 + (g2^56*t^8.)/g1^8 - t^8.01/(g1*g2) + (g2^25*t^8.1)/g1 - (3*g1*t^8.12)/g2^5 + (g2^48*t^8.22)/g1^4 + (2*g1^3*t^8.23)/g2^9 - (g2^18*t^8.24)/g1^2 + 3*g2^14*t^8.35 + (2*g2^41*t^8.36)/g1^5 - (4*g1^2*t^8.38)/g2^16 + (g2^11*t^8.39)/g1^3 + (3*g2^37*t^8.48)/g1^3 + (2*g1^4*t^8.49)/g2^20 + (g2^64*t^8.49)/g1^8 - (3*g2^7*t^8.5)/g1 + (g2^34*t^8.51)/g1^6 + 4*g1*g2^3*t^8.61 + (g2^30*t^8.62)/g1^4 - (g1^3*t^8.63)/g2^27 + t^8.65/g1^2 + (g1^3*t^8.72)/g2 + (6*g2^26*t^8.73)/g1^2 + (g2^53*t^8.74)/g1^7 + (2*g1^5*t^8.75)/g2^31 - t^8.76/g2^4 + (2*g2^49*t^8.85)/g1^5 + (3*g1^2*t^8.87)/g2^8 + (g2^45*t^8.96)/g1^3 + (g2^72*t^8.97)/g1^8 + (2*g1^4*t^8.98)/g2^12 + (g2^15*t^8.99)/g1 - t^4.38/(g2^2*y) - (g1*t^6.5)/(g2^7*y) - (g2^16*t^6.62)/(g1^2*y) - (g1^2*t^6.76)/(g2^18*y) + (g1^2*t^7.24)/(g2^10*y) + (g2^13*t^7.37)/(g1*y) + (g1^3*t^7.5)/(g2^21*y) - (g2^6*t^7.51)/(g1^2*y) + (2*g2^2*t^7.62)/y + (g2^25*t^7.74)/(g1^3*y) + (g1*t^7.88)/(g2^9*y) + (g2^14*t^8.)/(g1^2*y) + (g2^10*t^8.11)/y + (g1^2*t^8.13)/(g2^20*y) + (g2^33*t^8.23)/(g1^3*y) + (2*g2^3*t^8.26)/(g1*y) + (2*g1*t^8.37)/(g2*y) + (g2^26*t^8.38)/(g1^4*y) + (2*g2^22*t^8.49)/(g1^2*y) + t^8.51/(g2^8*y) + (g1^2*t^8.62)/(g2^12*y) + (g2^15*t^8.63)/(g1^3*y) + (g2^11*t^8.74)/(g1*y) - (g2^34*t^8.86)/(g1^4*y) - (t^4.38*y)/g2^2 - (g1*t^6.5*y)/g2^7 - (g2^16*t^6.62*y)/g1^2 - (g1^2*t^6.76*y)/g2^18 + (g1^2*t^7.24*y)/g2^10 + (g2^13*t^7.37*y)/g1 + (g1^3*t^7.5*y)/g2^21 - (g2^6*t^7.51*y)/g1^2 + 2*g2^2*t^7.62*y + (g2^25*t^7.74*y)/g1^3 + (g1*t^7.88*y)/g2^9 + (g2^14*t^8.*y)/g1^2 + g2^10*t^8.11*y + (g1^2*t^8.13*y)/g2^20 + (g2^33*t^8.23*y)/g1^3 + (2*g2^3*t^8.26*y)/g1 + (2*g1*t^8.37*y)/g2 + (g2^26*t^8.38*y)/g1^4 + (2*g2^22*t^8.49*y)/g1^2 + (t^8.51*y)/g2^8 + (g1^2*t^8.62*y)/g2^12 + (g2^15*t^8.63*y)/g1^3 + (g2^11*t^8.74*y)/g1 - (g2^34*t^8.86*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56579 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ + $ M_7q_2\tilde{q}_1$ | 0.6543 | 0.8147 | 0.8031 | [X:[], M:[1.1673, 0.8655, 0.8327, 0.7345, 1.2, 0.8655, 0.7673], q:[0.3673, 0.4655], qb:[0.7673, 0.8], phi:[0.4]] | t^2.2 + t^2.3 + t^2.5 + 2*t^2.6 + t^3.5 + t^3.6 + t^3.7 + t^3.99 + t^4.41 + t^4.51 + 2*t^4.6 + 2*t^4.7 + 2*t^4.8 + 3*t^4.9 + t^5. + t^5.09 + 3*t^5.19 + 3*t^5.8 + t^5.9 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56581 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ + $ M_8q_2\tilde{q}_1$ | 0.6942 | 0.8747 | 0.7937 | [X:[], M:[1.1605, 1.009, 0.8395, 0.7644, 1.1133, 0.7923, 0.7172, 0.9339], q:[0.3822, 0.4573], qb:[0.6088, 0.7783], phi:[0.4433]] | t^2.15 + t^2.29 + t^2.38 + t^2.52 + t^2.8 + t^3.03 + t^3.34 + t^3.48 + t^4.07 + t^4.16 + 2*t^4.3 + t^4.44 + 2*t^4.53 + t^4.59 + 2*t^4.67 + t^4.75 + t^4.81 + t^4.9 + t^4.95 + t^4.98 + t^5.04 + t^5.09 + 2*t^5.18 + t^5.32 + t^5.4 + t^5.49 + t^5.6 + 2*t^5.63 + t^5.72 + t^5.83 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56584 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ + $ M_8\tilde{q}_1\tilde{q}_2$ | 0.7122 | 0.9154 | 0.778 | [X:[], M:[1.1669, 1.0435, 0.8331, 0.7928, 1.0819, 0.7481, 0.7078, 0.6694], q:[0.3964, 0.4367], qb:[0.5601, 0.7705], phi:[0.4591]] | t^2.01 + t^2.12 + t^2.24 + t^2.38 + t^2.5 + t^2.99 + t^3.13 + t^3.25 + t^3.5 + t^4. + t^4.02 + t^4.13 + 3*t^4.25 + 2*t^4.37 + t^4.39 + t^4.49 + t^4.5 + t^4.51 + 2*t^4.62 + 2*t^4.74 + t^4.76 + t^4.88 + 2*t^5. + t^5.11 + t^5.14 + t^5.23 + 2*t^5.25 + 3*t^5.37 + 2*t^5.49 + t^5.51 + 2*t^5.62 + 2*t^5.74 + t^5.98 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 56580 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ + $ q_2^2\tilde{q}_1^2$ | 0.6913 | 0.8736 | 0.7913 | [X:[], M:[1.1664, 1.0424, 0.8336, 0.7912, 1.0832, 0.7504, 0.708], q:[0.3956, 0.438], qb:[0.562, 0.7708], phi:[0.4584]] | t^2.12 + t^2.25 + t^2.37 + t^2.5 + t^3. + t^3.13 + t^3.25 + t^3.5 + 2*t^4. + 2*t^4.25 + 2*t^4.38 + 2*t^4.5 + 2*t^4.62 + 3*t^4.75 + t^4.87 + t^5. + t^5.12 + 2*t^5.25 + 2*t^5.37 + t^5.38 + 2*t^5.5 + 2*t^5.62 + 2*t^5.75 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47003 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail |