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 |
|---|---|---|---|---|---|---|---|---|---|
| 200 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6857, 0.6986, 0.6931, 0.6959], q:[0.8349, 0.8172], qb:[0.4795, 0.4767], phi:[0.3479]] | [X:[], M:[[1, -4, -1], [0, 1, -5], [0, -5, 1], [0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$ | . | -3 | t^2.06 + t^2.08 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.88 + t^3.89 + t^3.93 + t^4.11 + 3*t^4.14 + t^4.15 + t^4.16 + 2*t^4.17 + 6*t^4.18 + t^4.19 + t^4.93 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.94 + t^5.95 + t^5.96 + 2*t^5.97 + 2*t^5.98 + t^5.99 - 3*t^6. + t^6.02 + t^6.17 + t^6.19 + 2*t^6.2 + t^6.21 + 3*t^6.22 + 4*t^6.23 + 3*t^6.24 + 7*t^6.25 + 6*t^6.26 + 4*t^6.27 + 2*t^6.28 + t^6.29 + t^6.75 + t^6.76 + t^6.8 + t^6.98 + 3*t^7.01 + t^7.03 + 6*t^7.04 + 2*t^7.05 + t^7.06 - 2*t^7.07 + t^7.76 + t^7.77 + t^7.78 - t^7.8 + 2*t^7.82 - t^7.85 - t^7.86 + t^7.87 + 2*t^8. + t^8.02 + 4*t^8.03 + 2*t^8.04 + 2*t^8.05 + 4*t^8.07 - 3*t^8.08 - 6*t^8.09 - 5*t^8.1 + t^8.11 - t^8.12 + t^8.23 + t^8.25 + 2*t^8.26 + 2*t^8.27 + 2*t^8.28 + 4*t^8.29 + 5*t^8.3 + 5*t^8.31 + 7*t^8.32 + 10*t^8.33 + 9*t^8.34 + 9*t^8.35 + 6*t^8.36 + 6*t^8.37 + t^8.38 + t^8.61 + t^8.81 + t^8.82 + t^8.83 + 2*t^8.84 + 3*t^8.85 - t^8.86 - 5*t^8.87 - t^8.88 + t^8.89 - t^8.9 - t^4.04/y - t^6.1/y - t^6.12/y - (2*t^6.13)/y - t^6.14/y + (3*t^7.14)/y + t^7.15/y + (2*t^7.17)/y + (4*t^7.18)/y + t^7.93/y + (2*t^7.95)/y + (6*t^7.96)/y + t^7.99/y - t^8.16/y - t^8.18/y - (2*t^8.19)/y - (2*t^8.2)/y - (2*t^8.21)/y - (4*t^8.22)/y - (2*t^8.23)/y - t^8.24/y + t^8.94/y + t^8.95/y + t^8.96/y + (3*t^8.97)/y + (3*t^8.98)/y + (2*t^8.99)/y - t^4.04*y - t^6.1*y - t^6.12*y - 2*t^6.13*y - t^6.14*y + 3*t^7.14*y + t^7.15*y + 2*t^7.17*y + 4*t^7.18*y + t^7.93*y + 2*t^7.95*y + 6*t^7.96*y + t^7.99*y - t^8.16*y - t^8.18*y - 2*t^8.19*y - 2*t^8.2*y - 2*t^8.21*y - 4*t^8.22*y - 2*t^8.23*y - t^8.24*y + t^8.94*y + t^8.95*y + t^8.96*y + 3*t^8.97*y + 3*t^8.98*y + 2*t^8.99*y | (g1*t^2.06)/(g2^4*g3) + (g3*t^2.08)/g2^5 + (2*t^2.09)/(g2^2*g3^2) + (g2*t^2.1)/g3^5 + g2^3*g3^3*t^2.87 + g1*g3^3*t^3.88 + g1*g2^3*t^3.89 + (g2*g3^4*t^3.93)/g1 + (g1^2*t^4.11)/(g2^8*g3^2) + (g1*t^4.14)/g2^9 + (2*g1*t^4.14)/(g2^6*g3^3) + (g1*t^4.15)/(g2^3*g3^6) + (g3^2*t^4.16)/g2^10 + (2*t^4.17)/(g2^7*g3) + (2*t^4.18)/(g2*g3^7) + (4*t^4.18)/(g2^4*g3^4) + (g2^2*t^4.19)/g3^10 + (g1*g3^2*t^4.93)/g2 + (g3^4*t^4.95)/g2^2 + (g2^4*t^4.96)/g3^2 + 3*g2*g3*t^4.96 + g2^6*g3^6*t^5.74 + (g1^2*g3^2*t^5.94)/g2^4 + (g1^2*t^5.95)/(g2*g3) + (g1*g3^4*t^5.96)/g2^5 + (2*g1*g3*t^5.97)/g2^2 + (2*g1*g2*t^5.98)/g3^2 + (g1*g2^4*t^5.99)/g3^5 - 3*t^6. - (g2^3*t^6.01)/g3^3 + (g3^5*t^6.01)/(g1*g2^4) + (g3^2*t^6.02)/(g1*g2) + (g1^3*t^6.17)/(g2^12*g3^3) + (g1^2*t^6.19)/(g2^13*g3) + (2*g1^2*t^6.2)/(g2^10*g3^4) + (g1^2*t^6.21)/(g2^7*g3^7) + (2*g1*t^6.22)/(g2^11*g3^2) + (g1*g3*t^6.22)/g2^14 + (4*g1*t^6.23)/(g2^8*g3^5) + (2*g1*t^6.24)/(g2^5*g3^8) + (g3^3*t^6.24)/g2^15 + (2*t^6.25)/g2^12 + (g1*t^6.25)/(g2^2*g3^11) + (4*t^6.25)/(g2^9*g3^3) + (6*t^6.26)/(g2^6*g3^6) + (4*t^6.27)/(g2^3*g3^9) + (2*t^6.28)/g3^12 + (g2^3*t^6.29)/g3^15 + g1*g2^3*g3^6*t^6.75 + g1*g2^6*g3^3*t^6.76 + (g2^4*g3^7*t^6.8)/g1 + (g1^2*g3*t^6.98)/g2^5 + (2*g1*t^7.01)/g2^3 + (g1*g3^3*t^7.01)/g2^6 + (g3^5*t^7.03)/g2^7 + (4*t^7.04)/(g2*g3) + (2*g3^2*t^7.04)/g2^4 + (2*g2^2*t^7.05)/g3^4 + (g2^5*t^7.06)/g3^7 - (g2*t^7.07)/(g1*g3^2) - (g3*t^7.07)/(g1*g2^2) + g1^2*g3^6*t^7.76 + g1^2*g2^3*g3^3*t^7.77 + g1^2*g2^6*t^7.78 - g1*g2^5*g3^2*t^7.8 + g2^4*g3^4*t^7.82 + g2*g3^7*t^7.82 - (g2^3*g3^6*t^7.85)/g1 - (g2^6*g3^3*t^7.86)/g1 + (g2^2*g3^8*t^7.87)/g1^2 + (g1^3*t^8.)/(g2^5*g3^2) + (g1^3*g3*t^8.)/g2^8 + (g1^2*g3^3*t^8.02)/g2^9 + (2*g1^2*t^8.03)/g2^6 + (2*g1^2*t^8.03)/(g2^3*g3^3) + (g1^2*t^8.04)/g3^6 + (g1*g3^5*t^8.04)/g2^10 + (2*g1*g3^2*t^8.05)/g2^7 + (2*g1*g2^2*t^8.07)/g3^7 + (2*g1*t^8.07)/(g2*g3^4) + (g1*g2^5*t^8.08)/g3^10 - (4*g3*t^8.08)/g2^5 - (7*t^8.09)/(g2^2*g3^2) + (g3^6*t^8.09)/(g1*g2^9) - (g2^4*t^8.1)/g3^8 - (5*g2*t^8.1)/g3^5 + (g3^3*t^8.1)/(g1*g2^6) + t^8.11/(g1*g2^3) - t^8.12/(g1*g3^3) + (g1^4*t^8.23)/(g2^16*g3^4) + (g1^3*t^8.25)/(g2^17*g3^2) + (2*g1^3*t^8.26)/(g2^14*g3^5) + (g1^2*t^8.27)/g2^18 + (g1^3*t^8.27)/(g2^11*g3^8) + (2*g1^2*t^8.28)/(g2^15*g3^3) + (4*g1^2*t^8.29)/(g2^12*g3^6) + (2*g1^2*t^8.3)/(g2^9*g3^9) + (2*g1*t^8.3)/(g2^16*g3) + (g1*g3^2*t^8.3)/g2^19 + (g1^2*t^8.31)/(g2^6*g3^12) + (4*g1*t^8.31)/(g2^13*g3^4) + (6*g1*t^8.32)/(g2^10*g3^7) + (g3^4*t^8.32)/g2^20 + (4*g1*t^8.33)/(g2^7*g3^10) + (4*t^8.33)/(g2^14*g3^2) + (2*g3*t^8.33)/g2^17 + (g1*t^8.34)/(g2*g3^16) + (2*g1*t^8.34)/(g2^4*g3^13) + (6*t^8.34)/(g2^11*g3^5) + (9*t^8.35)/(g2^8*g3^8) + (6*t^8.36)/(g2^5*g3^11) + (2*g2*t^8.37)/g3^17 + (4*t^8.37)/(g2^2*g3^14) + (g2^4*t^8.38)/g3^20 + g2^9*g3^9*t^8.61 + (g1^2*g3^5*t^8.81)/g2 + g1^2*g2^2*g3^2*t^8.82 + (g1*g3^7*t^8.83)/g2^2 + 2*g1*g2*g3^4*t^8.84 + (g1*g2^7*t^8.85)/g3^2 + 2*g1*g2^4*g3*t^8.85 - g3^6*t^8.86 - 5*g2^3*g3^3*t^8.87 - 2*g2^6*t^8.88 + (g3^8*t^8.88)/(g1*g2) + (g2^2*g3^5*t^8.89)/g1 - (g2^5*g3^2*t^8.9)/g1 - t^4.04/(g2*g3*y) - (g1*t^6.1)/(g2^5*g3^2*y) - t^6.12/(g2^6*y) - (2*t^6.13)/(g2^3*g3^3*y) - t^6.14/(g3^6*y) + (g1*t^7.14)/(g2^9*y) + (2*g1*t^7.14)/(g2^6*g3^3*y) + (g1*t^7.15)/(g2^3*g3^6*y) + (2*t^7.17)/(g2^7*g3*y) + (2*t^7.18)/(g2*g3^7*y) + (2*t^7.18)/(g2^4*g3^4*y) + (g1*g3^2*t^7.93)/(g2*y) + (2*g3^4*t^7.95)/(g2^2*y) + (2*g2^4*t^7.96)/(g3^2*y) + (4*g2*g3*t^7.96)/y + (g2^3*t^7.99)/(g1*y) - (g1^2*t^8.16)/(g2^9*g3^3*y) - (g1*t^8.18)/(g2^10*g3*y) - (2*g1*t^8.19)/(g2^7*g3^4*y) - (g1*t^8.2)/(g2^4*g3^7*y) - (g3*t^8.2)/(g2^11*y) - (2*t^8.21)/(g2^8*g3^2*y) - (4*t^8.22)/(g2^5*g3^5*y) - (2*t^8.23)/(g2^2*g3^8*y) - (g2*t^8.24)/(g3^11*y) + (g1^2*g3^2*t^8.94)/(g2^4*y) + (g1^2*t^8.95)/(g2*g3*y) + (g1*g3^4*t^8.96)/(g2^5*y) + (3*g1*g3*t^8.97)/(g2^2*y) + (3*g1*g2*t^8.98)/(g3^2*y) + (g1*g2^4*t^8.99)/(g3^5*y) + (g3^3*t^8.99)/(g2^3*y) - (t^4.04*y)/(g2*g3) - (g1*t^6.1*y)/(g2^5*g3^2) - (t^6.12*y)/g2^6 - (2*t^6.13*y)/(g2^3*g3^3) - (t^6.14*y)/g3^6 + (g1*t^7.14*y)/g2^9 + (2*g1*t^7.14*y)/(g2^6*g3^3) + (g1*t^7.15*y)/(g2^3*g3^6) + (2*t^7.17*y)/(g2^7*g3) + (2*t^7.18*y)/(g2*g3^7) + (2*t^7.18*y)/(g2^4*g3^4) + (g1*g3^2*t^7.93*y)/g2 + (2*g3^4*t^7.95*y)/g2^2 + (2*g2^4*t^7.96*y)/g3^2 + 4*g2*g3*t^7.96*y + (g2^3*t^7.99*y)/g1 - (g1^2*t^8.16*y)/(g2^9*g3^3) - (g1*t^8.18*y)/(g2^10*g3) - (2*g1*t^8.19*y)/(g2^7*g3^4) - (g1*t^8.2*y)/(g2^4*g3^7) - (g3*t^8.2*y)/g2^11 - (2*t^8.21*y)/(g2^8*g3^2) - (4*t^8.22*y)/(g2^5*g3^5) - (2*t^8.23*y)/(g2^2*g3^8) - (g2*t^8.24*y)/g3^11 + (g1^2*g3^2*t^8.94*y)/g2^4 + (g1^2*t^8.95*y)/(g2*g3) + (g1*g3^4*t^8.96*y)/g2^5 + (3*g1*g3*t^8.97*y)/g2^2 + (3*g1*g2*t^8.98*y)/g3^2 + (g1*g2^4*t^8.99*y)/g3^5 + (g3^3*t^8.99*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1727 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_2$ | 0.6895 | 0.8745 | 0.7884 | [X:[], M:[0.6921, 0.6921, 0.6981, 0.6951], q:[0.8308, 0.8217], qb:[0.4772, 0.4802], phi:[0.3476]] | 2*t^2.08 + 3*t^2.09 + t^2.87 + t^3.9 + t^3.91 + t^3.93 + 3*t^4.15 + 4*t^4.16 + 5*t^4.17 + 2*t^4.18 + t^4.19 + 2*t^4.95 + 3*t^4.96 + t^4.97 + t^5.74 + 2*t^5.97 + 3*t^5.98 + t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y | detail | |
| 1728 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.7103 | 0.916 | 0.7755 | [X:[], M:[0.6811, 0.6946, 0.6946, 0.6946, 0.6811], q:[0.8399, 0.8128], qb:[0.4791, 0.4791], phi:[0.3473]] | 2*t^2.04 + 4*t^2.08 + t^2.87 + 2*t^3.88 + 3*t^4.09 + 8*t^4.13 + 10*t^4.17 + 2*t^4.92 + 5*t^4.96 + t^5.75 + 4*t^5.92 + 6*t^5.96 - 5*t^6. - t^4.04/y - t^4.04*y | detail | |
| 1729 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.7101 | 0.9145 | 0.7765 | [X:[], M:[0.692, 0.692, 0.692, 0.692, 0.692], q:[0.827, 0.827], qb:[0.481, 0.481], phi:[0.346]] | 6*t^2.08 + t^2.89 + 2*t^3.92 + 21*t^4.15 + 7*t^4.96 + t^5.77 + 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 120 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |