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 |
|---|---|---|---|---|---|---|---|---|---|
| 1769 | 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7308 | 0.9552 | 0.7651 | [X:[], M:[0.6836, 0.6937, 0.6937, 0.6903, 0.687, 0.687], q:[0.8324, 0.8224], qb:[0.4839, 0.4806], phi:[0.3452]] | [X:[], M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0], [0, -2, -2], [0, -5, 1], [1, -1, -4]], 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_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_1M_6$, $ M_6^2$, $ M_1M_4$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5^2$, $ M_1M_2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_2M_6$, $ M_4^2$, $ M_2M_5$, $ M_3M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_2^2$, $ M_2M_3$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_5\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$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$ | . | -3 | t^2.05 + 2*t^2.06 + 2*t^2.07 + 2*t^2.08 + t^2.89 + t^3.91 + t^4.1 + 2*t^4.11 + 5*t^4.12 + 6*t^4.13 + 7*t^4.14 + 4*t^4.15 + 3*t^4.16 + t^4.94 + 2*t^4.95 + 3*t^4.96 + 2*t^4.97 + t^5.79 + t^5.96 + 2*t^5.97 + t^5.98 - 3*t^6. - 2*t^6.01 - t^6.02 + t^6.15 + 2*t^6.16 + 5*t^6.17 + 10*t^6.18 + 13*t^6.19 + 16*t^6.2 + 15*t^6.21 + 12*t^6.22 + 6*t^6.23 + 4*t^6.24 + t^6.8 + t^7. + 2*t^7.01 + 5*t^7.02 + 6*t^7.03 + 7*t^7.04 + 4*t^7.05 + 2*t^7.06 + t^7.82 - t^7.88 + t^8.01 + 2*t^8.02 + 4*t^8.03 + 2*t^8.04 - 2*t^8.05 - 10*t^8.06 - 11*t^8.07 - 12*t^8.08 - 6*t^8.09 - 2*t^8.1 + t^8.2 + 2*t^8.21 + 5*t^8.22 + 10*t^8.23 + 18*t^8.24 + 24*t^8.25 + 32*t^8.26 + 32*t^8.27 + 32*t^8.28 + 24*t^8.29 + 17*t^8.3 + 8*t^8.31 + 5*t^8.32 + t^8.68 + t^8.85 + 2*t^8.86 + t^8.87 - 2*t^8.88 - 5*t^8.89 - 4*t^8.9 - 2*t^8.91 - t^4.04/y - t^6.09/y - (2*t^6.1)/y - (2*t^6.11)/y - (2*t^6.12)/y + (2*t^7.11)/y + (3*t^7.12)/y + (6*t^7.13)/y + (5*t^7.14)/y + (4*t^7.15)/y + t^7.16/y + t^7.94/y + (4*t^7.95)/y + (4*t^7.96)/y + (4*t^7.97)/y + t^7.98/y - t^8.14/y - (2*t^8.15)/y - (5*t^8.16)/y - (6*t^8.17)/y - (7*t^8.18)/y - (4*t^8.19)/y - (3*t^8.2)/y + t^8.96/y + (2*t^8.97)/y + (2*t^8.98)/y + (2*t^8.99)/y - t^4.04*y - t^6.09*y - 2*t^6.1*y - 2*t^6.11*y - 2*t^6.12*y + 2*t^7.11*y + 3*t^7.12*y + 6*t^7.13*y + 5*t^7.14*y + 4*t^7.15*y + t^7.16*y + t^7.94*y + 4*t^7.95*y + 4*t^7.96*y + 4*t^7.97*y + t^7.98*y - t^8.14*y - 2*t^8.15*y - 5*t^8.16*y - 6*t^8.17*y - 7*t^8.18*y - 4*t^8.19*y - 3*t^8.2*y + t^8.96*y + 2*t^8.97*y + 2*t^8.98*y + 2*t^8.99*y | (g1*t^2.05)/(g2^4*g3) + (g1*t^2.06)/(g2*g3^4) + (g3*t^2.06)/g2^5 + (2*t^2.07)/(g2^2*g3^2) + t^2.08/(g1*g2^3) + (g2*t^2.08)/g3^5 + g2^3*g3^3*t^2.89 + g1*g3^3*t^3.91 + (g1^2*t^4.1)/(g2^8*g3^2) + (g1*t^4.11)/g2^9 + (g1^2*t^4.11)/(g2^5*g3^5) + (g1^2*t^4.12)/(g2^2*g3^8) + (3*g1*t^4.12)/(g2^6*g3^3) + (g3^2*t^4.12)/g2^10 + (3*g1*t^4.13)/(g2^3*g3^6) + (3*t^4.13)/(g2^7*g3) + (g1*t^4.14)/g3^9 + (5*t^4.14)/(g2^4*g3^4) + (g3*t^4.14)/(g1*g2^8) + (2*t^4.15)/(g2*g3^7) + (2*t^4.15)/(g1*g2^5*g3^2) + t^4.16/(g1^2*g2^6) + (g2^2*t^4.16)/g3^10 + t^4.16/(g1*g2^2*g3^5) + (g1*g3^2*t^4.94)/g2 + (g1*g2^2*t^4.95)/g3 + (g3^4*t^4.95)/g2^2 + 3*g2*g3*t^4.96 + (g2^4*t^4.97)/g3^2 + (g3^3*t^4.97)/g1 + g2^6*g3^6*t^5.79 + (g1^2*g3^2*t^5.96)/g2^4 + (g1^2*t^5.97)/(g2*g3) + (g1*g3^4*t^5.97)/g2^5 + (g1*g3*t^5.98)/g2^2 - 3*t^6. - (g2^3*t^6.01)/g3^3 - (g3^2*t^6.01)/(g1*g2) - (g2^2*t^6.02)/(g1*g3) + (g1^3*t^6.15)/(g2^12*g3^3) + (g1^3*t^6.16)/(g2^9*g3^6) + (g1^2*t^6.16)/(g2^13*g3) + (g1^3*t^6.17)/(g2^6*g3^9) + (3*g1^2*t^6.17)/(g2^10*g3^4) + (g1*g3*t^6.17)/g2^14 + (g1^3*t^6.18)/(g2^3*g3^12) + (4*g1^2*t^6.18)/(g2^7*g3^7) + (4*g1*t^6.18)/(g2^11*g3^2) + (g3^3*t^6.18)/g2^15 + (3*t^6.19)/g2^12 + (3*g1^2*t^6.19)/(g2^4*g3^10) + (7*g1*t^6.19)/(g2^8*g3^5) + (g1^2*t^6.2)/(g2*g3^13) + (7*g1*t^6.2)/(g2^5*g3^8) + (7*t^6.2)/(g2^9*g3^3) + (g3^2*t^6.2)/(g1*g2^13) + (3*g1*t^6.21)/(g2^2*g3^11) + (9*t^6.21)/(g2^6*g3^6) + (3*t^6.21)/(g1*g2^10*g3) + (g1*g2*t^6.22)/g3^14 + (5*t^6.22)/(g2^3*g3^9) + (5*t^6.22)/(g1*g2^7*g3^4) + (g3*t^6.22)/(g1^2*g2^11) + (2*t^6.23)/g3^12 + (2*t^6.23)/(g1*g2^4*g3^7) + (2*t^6.23)/(g1^2*g2^8*g3^2) + t^6.24/(g1^3*g2^9) + (g2^3*t^6.24)/g3^15 + t^6.24/(g1*g2*g3^10) + t^6.24/(g1^2*g2^5*g3^5) + g1*g2^3*g3^6*t^6.8 + (g1^2*g3*t^7.)/g2^5 + (g1^2*t^7.01)/(g2^2*g3^2) + (g1*g3^3*t^7.01)/g2^6 + (3*g1*t^7.02)/g2^3 + (g1^2*g2*t^7.02)/g3^5 + (g3^5*t^7.02)/g2^7 + (3*g1*t^7.03)/g3^3 + (3*g3^2*t^7.03)/g2^4 + (g1*g2^3*t^7.04)/g3^6 + (5*t^7.04)/(g2*g3) + (g3^4*t^7.04)/(g1*g2^5) + (2*g2^2*t^7.05)/g3^4 + (2*g3*t^7.05)/(g1*g2^2) + (g2^5*t^7.06)/g3^7 + (g3^3*t^7.06)/(g1^2*g2^3) + g1^2*g3^6*t^7.82 - (g2^6*g3^3*t^7.88)/g1 + (g1^3*g3*t^8.01)/g2^8 + (g1^3*t^8.02)/(g2^5*g3^2) + (g1^2*g3^3*t^8.02)/g2^9 + (2*g1^2*t^8.03)/g2^6 + (g1^3*t^8.03)/(g2^2*g3^5) + (g1*g3^5*t^8.03)/g2^10 + (g1^2*t^8.04)/(g2^3*g3^3) + (g1*g3^2*t^8.04)/g2^7 - (2*g1*t^8.05)/(g2^4*g3) - (5*g1*t^8.06)/(g2*g3^4) - (5*g3*t^8.06)/g2^5 - (g1*g2^2*t^8.07)/g3^7 - (9*t^8.07)/(g2^2*g3^2) - (g3^3*t^8.07)/(g1*g2^6) - (6*t^8.08)/(g1*g2^3) - (6*g2*t^8.08)/g3^5 - (g2^4*t^8.09)/g3^8 - (4*t^8.09)/(g1*g3^3) - (g3^2*t^8.09)/(g1^2*g2^4) - (g2^3*t^8.1)/(g1*g3^6) - t^8.1/(g1^2*g2*g3) + (g1^4*t^8.2)/(g2^16*g3^4) + (g1^4*t^8.21)/(g2^13*g3^7) + (g1^3*t^8.21)/(g2^17*g3^2) + (g1^2*t^8.22)/g2^18 + (g1^4*t^8.22)/(g2^10*g3^10) + (3*g1^3*t^8.22)/(g2^14*g3^5) + (g1^4*t^8.23)/(g2^7*g3^13) + (4*g1^3*t^8.23)/(g2^11*g3^8) + (4*g1^2*t^8.23)/(g2^15*g3^3) + (g1*g3^2*t^8.23)/g2^19 + (g1^4*t^8.24)/(g2^4*g3^16) + (4*g1^3*t^8.24)/(g2^8*g3^11) + (8*g1^2*t^8.24)/(g2^12*g3^6) + (4*g1*t^8.24)/(g2^16*g3) + (g3^4*t^8.24)/g2^20 + (3*g1^3*t^8.25)/(g2^5*g3^14) + (9*g1^2*t^8.25)/(g2^9*g3^9) + (9*g1*t^8.25)/(g2^13*g3^4) + (3*g3*t^8.25)/g2^17 + (g1^3*t^8.26)/(g2^2*g3^17) + (8*g1^2*t^8.26)/(g2^6*g3^12) + (14*g1*t^8.26)/(g2^10*g3^7) + (8*t^8.26)/(g2^14*g3^2) + (g3^3*t^8.26)/(g1*g2^18) + (3*t^8.27)/(g1*g2^15) + (3*g1^2*t^8.27)/(g2^3*g3^15) + (13*g1*t^8.27)/(g2^7*g3^10) + (13*t^8.27)/(g2^11*g3^5) + (g1^2*t^8.28)/g3^18 + (7*g1*t^8.28)/(g2^4*g3^13) + (16*t^8.28)/(g2^8*g3^8) + (7*t^8.28)/(g1*g2^12*g3^3) + (g3^2*t^8.28)/(g1^2*g2^16) + (3*g1*t^8.29)/(g2*g3^16) + (9*t^8.29)/(g2^5*g3^11) + (9*t^8.29)/(g1*g2^9*g3^6) + (3*t^8.29)/(g1^2*g2^13*g3) + (g1*g2^2*t^8.3)/g3^19 + (5*t^8.3)/(g2^2*g3^14) + (5*t^8.3)/(g1*g2^6*g3^9) + (5*t^8.3)/(g1^2*g2^10*g3^4) + (g3*t^8.3)/(g1^3*g2^14) + (2*g2*t^8.31)/g3^17 + (2*t^8.31)/(g1*g2^3*g3^12) + (2*t^8.31)/(g1^2*g2^7*g3^7) + (2*t^8.31)/(g1^3*g2^11*g3^2) + t^8.32/(g1^4*g2^12) + (g2^4*t^8.32)/g3^20 + t^8.32/(g1*g3^15) + t^8.32/(g1^2*g2^4*g3^10) + t^8.32/(g1^3*g2^8*g3^5) + g2^9*g3^9*t^8.68 + (g1^2*g3^5*t^8.85)/g2 + g1^2*g2^2*g3^2*t^8.86 + (g1*g3^7*t^8.86)/g2^2 + g1*g2*g3^4*t^8.87 - g1*g2^4*g3*t^8.88 - g3^6*t^8.88 - 5*g2^3*g3^3*t^8.89 - 2*g2^6*t^8.9 - (2*g2^2*g3^5*t^8.9)/g1 - (2*g2^5*g3^2*t^8.91)/g1 - t^4.04/(g2*g3*y) - (g1*t^6.09)/(g2^5*g3^2*y) - t^6.1/(g2^6*y) - (g1*t^6.1)/(g2^2*g3^5*y) - (2*t^6.11)/(g2^3*g3^3*y) - t^6.12/(g3^6*y) - t^6.12/(g1*g2^4*g3*y) + (g1*t^7.11)/(g2^9*y) + (g1^2*t^7.11)/(g2^5*g3^5*y) + (3*g1*t^7.12)/(g2^6*g3^3*y) + (3*g1*t^7.13)/(g2^3*g3^6*y) + (3*t^7.13)/(g2^7*g3*y) + (g1*t^7.14)/(g3^9*y) + (3*t^7.14)/(g2^4*g3^4*y) + (g3*t^7.14)/(g1*g2^8*y) + (2*t^7.15)/(g2*g3^7*y) + (2*t^7.15)/(g1*g2^5*g3^2*y) + t^7.16/(g1*g2^2*g3^5*y) + (g1*g3^2*t^7.94)/(g2*y) + (2*g1*g2^2*t^7.95)/(g3*y) + (2*g3^4*t^7.95)/(g2^2*y) + (4*g2*g3*t^7.96)/y + (2*g2^4*t^7.97)/(g3^2*y) + (2*g3^3*t^7.97)/(g1*y) + (g2^3*t^7.98)/(g1*y) - (g1^2*t^8.14)/(g2^9*g3^3*y) - (g1^2*t^8.15)/(g2^6*g3^6*y) - (g1*t^8.15)/(g2^10*g3*y) - (g1^2*t^8.16)/(g2^3*g3^9*y) - (3*g1*t^8.16)/(g2^7*g3^4*y) - (g3*t^8.16)/(g2^11*y) - (3*g1*t^8.17)/(g2^4*g3^7*y) - (3*t^8.17)/(g2^8*g3^2*y) - t^8.18/(g1*g2^9*y) - (g1*t^8.18)/(g2*g3^10*y) - (5*t^8.18)/(g2^5*g3^5*y) - (2*t^8.19)/(g2^2*g3^8*y) - (2*t^8.19)/(g1*g2^6*g3^3*y) - (g2*t^8.2)/(g3^11*y) - t^8.2/(g1*g2^3*g3^6*y) - t^8.2/(g1^2*g2^7*g3*y) + (g1^2*g3^2*t^8.96)/(g2^4*y) + (g1^2*t^8.97)/(g2*g3*y) + (g1*g3^4*t^8.97)/(g2^5*y) + (2*g1*g3*t^8.98)/(g2^2*y) + (g1*g2*t^8.99)/(g3^2*y) + (g3^3*t^8.99)/(g2^3*y) - (t^4.04*y)/(g2*g3) - (g1*t^6.09*y)/(g2^5*g3^2) - (t^6.1*y)/g2^6 - (g1*t^6.1*y)/(g2^2*g3^5) - (2*t^6.11*y)/(g2^3*g3^3) - (t^6.12*y)/g3^6 - (t^6.12*y)/(g1*g2^4*g3) + (g1*t^7.11*y)/g2^9 + (g1^2*t^7.11*y)/(g2^5*g3^5) + (3*g1*t^7.12*y)/(g2^6*g3^3) + (3*g1*t^7.13*y)/(g2^3*g3^6) + (3*t^7.13*y)/(g2^7*g3) + (g1*t^7.14*y)/g3^9 + (3*t^7.14*y)/(g2^4*g3^4) + (g3*t^7.14*y)/(g1*g2^8) + (2*t^7.15*y)/(g2*g3^7) + (2*t^7.15*y)/(g1*g2^5*g3^2) + (t^7.16*y)/(g1*g2^2*g3^5) + (g1*g3^2*t^7.94*y)/g2 + (2*g1*g2^2*t^7.95*y)/g3 + (2*g3^4*t^7.95*y)/g2^2 + 4*g2*g3*t^7.96*y + (2*g2^4*t^7.97*y)/g3^2 + (2*g3^3*t^7.97*y)/g1 + (g2^3*t^7.98*y)/g1 - (g1^2*t^8.14*y)/(g2^9*g3^3) - (g1^2*t^8.15*y)/(g2^6*g3^6) - (g1*t^8.15*y)/(g2^10*g3) - (g1^2*t^8.16*y)/(g2^3*g3^9) - (3*g1*t^8.16*y)/(g2^7*g3^4) - (g3*t^8.16*y)/g2^11 - (3*g1*t^8.17*y)/(g2^4*g3^7) - (3*t^8.17*y)/(g2^8*g3^2) - (t^8.18*y)/(g1*g2^9) - (g1*t^8.18*y)/(g2*g3^10) - (5*t^8.18*y)/(g2^5*g3^5) - (2*t^8.19*y)/(g2^2*g3^8) - (2*t^8.19*y)/(g1*g2^6*g3^3) - (g2*t^8.2*y)/g3^11 - (t^8.2*y)/(g1*g2^3*g3^6) - (t^8.2*y)/(g1^2*g2^7*g3) + (g1^2*g3^2*t^8.96*y)/g2^4 + (g1^2*t^8.97*y)/(g2*g3) + (g1*g3^4*t^8.97*y)/g2^5 + (2*g1*g3*t^8.98*y)/g2^2 + (g1*g2*t^8.99*y)/g3^2 + (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 |
|---|---|---|---|---|---|---|---|---|
| 2770 | $\phi_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_2$ | 0.7515 | 0.9955 | 0.7549 | [X:[], M:[0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878], q:[0.828, 0.828], qb:[0.4841, 0.4841], phi:[0.3439]] | 8*t^2.06 + t^2.9 + 36*t^4.13 + 9*t^4.97 + t^5.81 - 9*t^6. - t^4.03/y - t^4.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 302 | 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\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.7102 | 0.9148 | 0.7763 | [X:[], M:[0.6894, 0.6991, 0.6894, 0.6926, 0.6862], q:[0.8268, 0.8268], qb:[0.4837, 0.4773], phi:[0.3463]] | t^2.06 + 2*t^2.07 + 2*t^2.08 + t^2.1 + t^2.88 + 2*t^3.91 + t^4.12 + 2*t^4.13 + 5*t^4.14 + 4*t^4.15 + 4*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.94 + 2*t^4.95 + 3*t^4.96 + t^4.98 + t^5.77 + 2*t^5.97 + 3*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.04/y - t^4.04*y | detail |