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 |
|---|---|---|---|---|---|---|---|---|---|
| 1246 | 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_2M_6$ + $ M_1M_6$ + $ M_6M_7$ | 0.7101 | 0.9146 | 0.7764 | [X:[], M:[0.6941, 0.6941, 0.6883, 0.6922, 0.6903, 1.3059, 0.6941], q:[0.8241, 0.8298], qb:[0.4818, 0.4799], phi:[0.3461]] | [X:[], M:[[1, -5], [1, -5], [-8, 4], [-2, -2], [-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 |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_7$, $ M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_5^2$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ M_1M_5$, $ M_5M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_4M_5$, $ M_3M_7$, $ M_5\phi_1^2$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_1M_4$, $ M_4M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_3\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_5\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$ | $M_5q_2\tilde{q}_2$ | -2 | 2*t^2.07 + 4*t^2.08 + t^2.89 + t^3.91 + t^3.93 + t^4.13 + 4*t^4.14 + 9*t^4.15 + 7*t^4.16 + t^4.95 + 4*t^4.96 + 2*t^4.97 + t^5.77 + 2*t^5.98 + 2*t^5.99 - 2*t^6. + t^6.01 + 2*t^6.2 + 8*t^6.21 + 16*t^6.22 + 11*t^6.23 + 15*t^6.24 + 4*t^6.25 + t^6.8 + t^6.81 + 2*t^7.02 + 6*t^7.03 + 9*t^7.04 + 2*t^7.05 + t^7.82 + t^8.04 + 3*t^8.05 + 2*t^8.06 - 5*t^8.07 - 11*t^8.08 - t^8.09 + t^8.26 + 4*t^8.27 + 13*t^8.28 + 27*t^8.29 + 17*t^8.3 + 38*t^8.31 + 21*t^8.32 + 5*t^8.33 + t^8.66 + t^8.86 + 2*t^8.87 - t^8.88 - 5*t^8.89 - t^4.04/y - t^6.1/y - (3*t^6.11)/y - (2*t^6.12)/y + (3*t^7.14)/y + (7*t^7.15)/y + (5*t^7.16)/y + t^7.95/y + (7*t^7.96)/y + (4*t^7.97)/y - (2*t^8.17)/y - (3*t^8.18)/y - (9*t^8.19)/y - (7*t^8.2)/y + (2*t^8.98)/y + (5*t^8.99)/y - t^4.04*y - t^6.1*y - 3*t^6.11*y - 2*t^6.12*y + 3*t^7.14*y + 7*t^7.15*y + 5*t^7.16*y + t^7.95*y + 7*t^7.96*y + 4*t^7.97*y - 2*t^8.17*y - 3*t^8.18*y - 9*t^8.19*y - 7*t^8.2*y + 2*t^8.98*y + 5*t^8.99*y | (g2*t^2.07)/g1^5 + (g2^4*t^2.07)/g1^8 + (2*g1*t^2.08)/g2^5 + (2*t^2.08)/(g1^2*g2^2) + g1^3*g2^3*t^2.89 + (g2^8*t^3.91)/g1^4 + (g1^5*t^3.93)/g2 + (g2^8*t^4.13)/g1^16 + (3*g2^2*t^4.14)/g1^10 + (g2^5*t^4.14)/g1^13 + (5*t^4.15)/(g1^4*g2^4) + (4*t^4.15)/(g1^7*g2) + (3*g1^2*t^4.16)/g2^10 + (4*t^4.16)/(g1*g2^7) + (g2^7*t^4.95)/g1^5 + 3*g1*g2*t^4.96 + (g2^4*t^4.96)/g1^2 + (2*g1^4*t^4.97)/g2^2 + g1^6*g2^6*t^5.77 + (g2^9*t^5.98)/g1^9 + (g2^12*t^5.98)/g1^12 + (g2^3*t^5.99)/g1^3 + (g2^6*t^5.99)/g1^6 - 2*t^6. + (g1^6*t^6.01)/g2^6 + (g2^9*t^6.2)/g1^21 + (g2^12*t^6.2)/g1^24 + (5*g2^3*t^6.21)/g1^15 + (3*g2^6*t^6.21)/g1^18 + (7*t^6.22)/g1^12 + (9*t^6.22)/(g1^9*g2^3) + (11*t^6.23)/(g1^6*g2^6) + (6*t^6.24)/g2^12 + (9*t^6.24)/(g1^3*g2^9) + (4*g1^3*t^6.25)/g2^15 + (g2^11*t^6.8)/g1 + g1^8*g2^2*t^6.81 + (g2^8*t^7.02)/g1^10 + (g2^11*t^7.02)/g1^13 + (3*g2^2*t^7.03)/g1^4 + (3*g2^5*t^7.03)/g1^7 + (4*g1^2*t^7.04)/g2^4 + (5*t^7.04)/(g1*g2) + (2*g1^5*t^7.05)/g2^7 + (g2^16*t^7.82)/g1^8 + (g2^16*t^8.04)/g1^20 + (2*g2^10*t^8.05)/g1^14 + (g2^13*t^8.05)/g1^17 + (2*g2^7*t^8.06)/g1^11 - (4*g2*t^8.07)/g1^5 - (g2^4*t^8.07)/g1^8 - (6*g1*t^8.08)/g2^5 - (5*t^8.08)/(g1^2*g2^2) + (g1^7*t^8.09)/g2^11 - (2*g1^4*t^8.09)/g2^8 + (g2^16*t^8.26)/g1^32 + (3*g2^10*t^8.27)/g1^26 + (g2^13*t^8.27)/g1^29 + (8*g2^4*t^8.28)/g1^20 + (5*g2^7*t^8.28)/g1^23 + (16*t^8.29)/(g1^14*g2^2) + (11*g2*t^8.29)/g1^17 + (17*t^8.3)/(g1^11*g2^5) + (18*t^8.31)/(g1^5*g2^11) + (20*t^8.31)/(g1^8*g2^8) + (8*g1*t^8.32)/g2^17 + (13*t^8.32)/(g1^2*g2^14) + (5*g1^4*t^8.33)/g2^20 + g1^9*g2^9*t^8.66 + (g2^15*t^8.86)/g1^9 + (g2^9*t^8.87)/g1^3 + (g2^12*t^8.87)/g1^6 - g2^6*t^8.88 - g1^6*t^8.89 - 4*g1^3*g2^3*t^8.89 - t^4.04/(g1*g2*y) - (g2^3*t^6.1)/(g1^9*y) - t^6.11/(g1^6*y) - (2*t^6.11)/(g1^3*g2^3*y) - (2*t^6.12)/(g2^6*y) + (2*g2^2*t^7.14)/(g1^10*y) + (g2^5*t^7.14)/(g1^13*y) + (3*t^7.15)/(g1^4*g2^4*y) + (4*t^7.15)/(g1^7*g2*y) + (g1^2*t^7.16)/(g2^10*y) + (4*t^7.16)/(g1*g2^7*y) + (g2^7*t^7.95)/(g1^5*y) + (4*g1*g2*t^7.96)/y + (3*g2^4*t^7.96)/(g1^2*y) + (g1^7*t^7.97)/(g2^5*y) + (3*g1^4*t^7.97)/(g2^2*y) - (g2^4*t^8.17)/(g1^14*y) - (g2^7*t^8.17)/(g1^17*y) - (3*g2*t^8.18)/(g1^11*y) - (5*t^8.19)/(g1^5*g2^5*y) - (4*t^8.19)/(g1^8*g2^2*y) - (3*g1*t^8.2)/(g2^11*y) - (4*t^8.2)/(g1^2*g2^8*y) + (g2^9*t^8.98)/(g1^9*y) + (g2^12*t^8.98)/(g1^12*y) + (3*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^6.1*y)/g1^9 - (t^6.11*y)/g1^6 - (2*t^6.11*y)/(g1^3*g2^3) - (2*t^6.12*y)/g2^6 + (2*g2^2*t^7.14*y)/g1^10 + (g2^5*t^7.14*y)/g1^13 + (3*t^7.15*y)/(g1^4*g2^4) + (4*t^7.15*y)/(g1^7*g2) + (g1^2*t^7.16*y)/g2^10 + (4*t^7.16*y)/(g1*g2^7) + (g2^7*t^7.95*y)/g1^5 + 4*g1*g2*t^7.96*y + (3*g2^4*t^7.96*y)/g1^2 + (g1^7*t^7.97*y)/g2^5 + (3*g1^4*t^7.97*y)/g2^2 - (g2^4*t^8.17*y)/g1^14 - (g2^7*t^8.17*y)/g1^17 - (3*g2*t^8.18*y)/g1^11 - (5*t^8.19*y)/(g1^5*g2^5) - (4*t^8.19*y)/(g1^8*g2^2) - (3*g1*t^8.2*y)/g2^11 - (4*t^8.2*y)/(g1^2*g2^8) + (g2^9*t^8.98*y)/g1^9 + (g2^12*t^8.98*y)/g1^12 + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 2292 | $\phi_1q_1q_2$ + $ 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_2M_6$ + $ M_1M_6$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7308 | 0.955 | 0.7652 | [X:[], M:[0.6885, 0.6885, 0.6926, 0.6899, 0.6912, 1.3115, 0.6885, 0.6871], q:[0.8296, 0.8255], qb:[0.4819, 0.4833], phi:[0.3449]] | t^2.06 + 5*t^2.07 + t^2.08 + t^2.9 + t^3.93 + t^4.12 + 7*t^4.13 + 15*t^4.14 + 4*t^4.15 + t^4.16 + 3*t^4.96 + 5*t^4.97 + t^5.79 + 2*t^5.99 - 3*t^6. - t^4.03/y - t^4.03*y | detail | |
| 2293 | $\phi_1q_1q_2$ + $ 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_2M_6$ + $ M_1M_6$ + $ M_6M_7$ + $ M_8q_2\tilde{q}_2$ | 0.7308 | 0.9552 | 0.7651 | [X:[], M:[0.6937, 0.6937, 0.6836, 0.6903, 0.687, 1.3063, 0.6937, 0.687], q:[0.8224, 0.8324], qb:[0.4839, 0.4806], phi:[0.3452]] | 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. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 764 | 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_2M_6$ + $ M_1M_6$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.7005, 0.7005, 0.6863, 0.6958, 0.6911, 1.2995], q:[0.819, 0.8331], qb:[0.4805, 0.4758], phi:[0.3479]] | t^2.06 + t^2.07 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.88 + t^3.9 + t^3.93 + t^4.12 + t^4.13 + 3*t^4.15 + 3*t^4.16 + 4*t^4.17 + 2*t^4.19 + t^4.2 + t^4.93 + t^4.94 + 3*t^4.96 + t^4.97 + t^5.74 + t^5.94 + 2*t^5.96 + 2*t^5.97 + 2*t^5.99 - t^6. - t^4.04/y - t^4.04*y | detail |