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 |
|---|---|---|---|---|---|---|---|---|---|
| 774 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_5M_6$ | 0.6895 | 0.8745 | 0.7885 | [X:[], M:[0.6972, 0.6972, 0.6907, 0.6929, 1.3028, 0.6972], q:[0.823, 0.8295], qb:[0.4798, 0.4777], phi:[0.3475]] | [X:[], M:[[1, -5], [1, -5], [-8, 4], [-5, 1], [-1, 5], [1, -5]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_1M_3$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $M_4q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.07 + t^2.08 + 3*t^2.09 + t^2.87 + t^3.9 + t^3.91 + t^3.92 + t^4.14 + t^4.15 + 5*t^4.16 + 3*t^4.17 + 5*t^4.18 + t^4.94 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.97 + t^5.98 + 3*t^5.99 - t^6. + 2*t^6.01 + 2*t^6.22 + 2*t^6.23 + 8*t^6.24 + 5*t^6.25 + 11*t^6.26 + 7*t^6.27 + t^6.77 + 2*t^6.79 + 2*t^7.02 + 2*t^7.03 + 4*t^7.04 + 2*t^7.05 + 2*t^7.06 + t^7.8 + t^7.82 + t^7.84 + 2*t^8.05 + 2*t^8.06 + 2*t^8.07 - 2*t^8.08 - 4*t^8.09 + t^8.1 + t^8.29 + 3*t^8.3 + 9*t^8.31 + 6*t^8.32 + 17*t^8.33 + 9*t^8.34 + 16*t^8.35 + 4*t^8.36 + 5*t^8.37 + t^8.62 + 2*t^8.85 + t^8.86 - 2*t^8.87 - t^4.04/y - t^6.11/y - t^6.12/y - (3*t^6.13)/y + t^7.15/y + (4*t^7.16)/y + (2*t^7.17)/y + (3*t^7.18)/y + t^7.94/y + (3*t^7.95)/y + (5*t^7.96)/y + t^7.97/y - (2*t^8.19)/y - (2*t^8.2)/y - (6*t^8.21)/y - (2*t^8.22)/y - (3*t^8.23)/y + t^8.97/y + t^8.98/y + (6*t^8.99)/y - t^4.04*y - t^6.11*y - t^6.12*y - 3*t^6.13*y + t^7.15*y + 4*t^7.16*y + 2*t^7.17*y + 3*t^7.18*y + t^7.94*y + 3*t^7.95*y + 5*t^7.96*y + t^7.97*y - 2*t^8.19*y - 2*t^8.2*y - 6*t^8.21*y - 2*t^8.22*y - 3*t^8.23*y + t^8.97*y + t^8.98*y + 6*t^8.99*y | (g2^4*t^2.07)/g1^8 + (g2*t^2.08)/g1^5 + (2*g1*t^2.09)/g2^5 + t^2.09/(g1^2*g2^2) + g1^3*g2^3*t^2.87 + (g2^8*t^3.9)/g1^4 + g1^2*g2^2*t^3.91 + (g1^5*t^3.92)/g2 + (g2^8*t^4.14)/g1^16 + (g2^5*t^4.15)/g1^13 + (3*t^4.16)/(g1^7*g2) + (2*g2^2*t^4.16)/g1^10 + (3*t^4.17)/(g1^4*g2^4) + (3*g1^2*t^4.18)/g2^10 + (2*t^4.18)/(g1*g2^7) + (g2^7*t^4.94)/g1^5 + (g2^4*t^4.95)/g1^2 + (2*g1^4*t^4.96)/g2^2 + 2*g1*g2*t^4.96 + g1^6*g2^6*t^5.74 + (g2^12*t^5.97)/g1^12 + (g2^9*t^5.98)/g1^9 + (2*g2^3*t^5.99)/g1^3 + (g2^6*t^5.99)/g1^6 - t^6. + (g1^6*t^6.01)/g2^6 + (g1^3*t^6.01)/g2^3 + (g2^9*t^6.22)/g1^21 + (g2^12*t^6.22)/g1^24 + (2*g2^6*t^6.23)/g1^18 + (4*t^6.24)/g1^12 + (4*g2^3*t^6.24)/g1^15 + (5*t^6.25)/(g1^9*g2^3) + (5*t^6.26)/(g1^3*g2^9) + (6*t^6.26)/(g1^6*g2^6) + (4*g1^3*t^6.27)/g2^15 + (3*t^6.27)/g2^12 + (g2^11*t^6.77)/g1 + g1^8*g2^2*t^6.79 + g1^5*g2^5*t^6.79 + (g2^8*t^7.02)/g1^10 + (g2^11*t^7.02)/g1^13 + (2*g2^5*t^7.03)/g1^7 + (2*t^7.04)/(g1*g2) + (2*g2^2*t^7.04)/g1^4 + (2*g1^2*t^7.05)/g2^4 + (2*g1^5*t^7.06)/g2^7 + (g2^16*t^7.8)/g1^8 + (g2^10*t^7.82)/g1^2 + g1^7*g2*t^7.84 + (g2^13*t^8.05)/g1^17 + (g2^16*t^8.05)/g1^20 + (2*g2^10*t^8.06)/g1^14 + (2*g2^7*t^8.07)/g1^11 - (2*g2*t^8.08)/g1^5 - (4*g1*t^8.09)/g2^5 + (g1^7*t^8.1)/g2^11 + (g2^16*t^8.29)/g1^32 + (2*g2^10*t^8.3)/g1^26 + (g2^13*t^8.3)/g1^29 + (5*g2^4*t^8.31)/g1^20 + (4*g2^7*t^8.31)/g1^23 + (6*g2*t^8.32)/g1^17 + (8*t^8.33)/(g1^11*g2^5) + (9*t^8.33)/(g1^14*g2^2) + (9*t^8.34)/(g1^8*g2^8) + (7*t^8.35)/(g1^2*g2^14) + (9*t^8.35)/(g1^5*g2^11) + (4*g1*t^8.36)/g2^17 + (5*g1^4*t^8.37)/g2^20 + g1^9*g2^9*t^8.62 + (g2^12*t^8.85)/g1^6 + (g2^15*t^8.85)/g1^9 + (g2^9*t^8.86)/g1^3 - 2*g1^3*g2^3*t^8.87 - t^4.04/(g1*g2*y) - (g2^3*t^6.11)/(g1^9*y) - t^6.12/(g1^6*y) - (2*t^6.13)/(g2^6*y) - t^6.13/(g1^3*g2^3*y) + (g2^5*t^7.15)/(g1^13*y) + (3*t^7.16)/(g1^7*g2*y) + (g2^2*t^7.16)/(g1^10*y) + (2*t^7.17)/(g1^4*g2^4*y) + (g1^2*t^7.18)/(g2^10*y) + (2*t^7.18)/(g1*g2^7*y) + (g2^7*t^7.94)/(g1^5*y) + (3*g2^4*t^7.95)/(g1^2*y) + (3*g1^4*t^7.96)/(g2^2*y) + (2*g1*g2*t^7.96)/y + (g1^7*t^7.97)/(g2^5*y) - (g2^4*t^8.19)/(g1^14*y) - (g2^7*t^8.19)/(g1^17*y) - (2*g2*t^8.2)/(g1^11*y) - (3*t^8.21)/(g1^5*g2^5*y) - (3*t^8.21)/(g1^8*g2^2*y) - (2*t^8.22)/(g1^2*g2^8*y) - (3*g1*t^8.23)/(g2^11*y) + (g2^12*t^8.97)/(g1^12*y) + (g2^9*t^8.98)/(g1^9*y) + (4*g2^3*t^8.99)/(g1^3*y) + (2*g2^6*t^8.99)/(g1^6*y) - (t^4.04*y)/(g1*g2) - (g2^3*t^6.11*y)/g1^9 - (t^6.12*y)/g1^6 - (2*t^6.13*y)/g2^6 - (t^6.13*y)/(g1^3*g2^3) + (g2^5*t^7.15*y)/g1^13 + (3*t^7.16*y)/(g1^7*g2) + (g2^2*t^7.16*y)/g1^10 + (2*t^7.17*y)/(g1^4*g2^4) + (g1^2*t^7.18*y)/g2^10 + (2*t^7.18*y)/(g1*g2^7) + (g2^7*t^7.94*y)/g1^5 + (3*g2^4*t^7.95*y)/g1^2 + (3*g1^4*t^7.96*y)/g2^2 + 2*g1*g2*t^7.96*y + (g1^7*t^7.97*y)/g2^5 - (g2^4*t^8.19*y)/g1^14 - (g2^7*t^8.19*y)/g1^17 - (2*g2*t^8.2*y)/g1^11 - (3*t^8.21*y)/(g1^5*g2^5) - (3*t^8.21*y)/(g1^8*g2^2) - (2*t^8.22*y)/(g1^2*g2^8) - (3*g1*t^8.23*y)/g2^11 + (g2^12*t^8.97*y)/g1^12 + (g2^9*t^8.98*y)/g1^9 + (4*g2^3*t^8.99*y)/g1^3 + (2*g2^6*t^8.99*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1260 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_5M_6$ + $ M_3M_7$ | 0.6689 | 0.8348 | 0.8013 | [X:[], M:[0.6952, 0.6952, 0.7054, 0.702, 1.3048, 0.6952, 1.2946], q:[0.8304, 0.8203], qb:[0.4744, 0.4777], phi:[0.3493]] | 2*t^2.09 + t^2.1 + t^2.11 + t^2.86 + t^3.88 + t^3.89 + t^3.9 + t^3.92 + 3*t^4.17 + 2*t^4.18 + 3*t^4.19 + t^4.2 + t^4.21 + 2*t^4.94 + 2*t^4.95 + t^4.96 + t^5.71 + 2*t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail | |
| 2001 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7101 | 0.9146 | 0.7765 | [X:[], M:[0.6907, 0.6907, 0.6952, 0.6937, 1.3093, 0.6907, 0.6892], q:[0.8292, 0.8247], qb:[0.4801, 0.4816], phi:[0.3461]] | 3*t^2.07 + 2*t^2.08 + t^2.09 + t^2.89 + 2*t^3.92 + 7*t^4.14 + 7*t^4.15 + 5*t^4.16 + 2*t^4.17 + t^4.95 + 4*t^4.96 + 2*t^4.97 + t^5.77 + 3*t^5.99 - t^4.04/y - t^4.04*y | detail | |
| 2003 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_5M_6$ + $ M_7q_2\tilde{q}_2$ | 0.7102 | 0.9149 | 0.7762 | [X:[], M:[0.6964, 0.6964, 0.6854, 0.6891, 1.3036, 0.6964, 0.6891], q:[0.8213, 0.8323], qb:[0.4823, 0.4786], phi:[0.3464]] | t^2.06 + 2*t^2.07 + t^2.08 + 2*t^2.09 + t^2.88 + t^3.9 + t^3.92 + t^4.11 + 2*t^4.12 + 4*t^4.13 + 4*t^4.15 + 5*t^4.16 + 2*t^4.17 + 3*t^4.18 + t^4.94 + 2*t^4.95 + 2*t^4.96 + 2*t^4.97 + t^5.77 + t^5.96 + 2*t^5.97 + t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 484 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.7048, 0.7048, 0.6889, 0.6942, 1.2952], q:[0.8172, 0.8331], qb:[0.4781, 0.4728], phi:[0.3497]] | t^2.07 + t^2.08 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.89 + t^3.9 + t^3.92 + t^4.13 + t^4.15 + 2*t^4.16 + 2*t^4.18 + 2*t^4.2 + t^4.21 + t^4.23 + t^4.92 + t^4.93 + 2*t^4.95 + t^4.97 + t^5.7 + t^5.94 + 2*t^5.95 + 2*t^5.97 + 2*t^5.98 - t^4.05/y - t^4.05*y | detail |