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 |
|---|---|---|---|---|---|---|---|---|---|
| 191 | 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$ | 0.6895 | 0.8743 | 0.7886 | [X:[], M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]] | [X:[], M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0], [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 |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_2^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_3$, $ 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$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1\phi_1\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$ | 6 | 5*t^2.08 + t^2.87 + 3*t^3.92 + 15*t^4.17 + 6*t^4.96 + t^5.75 + 6*t^6. + 35*t^6.25 + 3*t^6.79 + 12*t^7.04 + 3*t^7.83 + t^8.08 + 70*t^8.34 + t^8.62 + t^8.87 - t^4.04/y - (5*t^6.13)/y + (10*t^7.17)/y + (10*t^7.96)/y - (15*t^8.21)/y - t^4.04*y - 5*t^6.13*y + 10*t^7.17*y + 10*t^7.96*y - 15*t^8.21*y | t^2.08/(g1*g2^3) + (g2*t^2.08)/g3^5 + (2*t^2.08)/(g2^2*g3^2) + (g1*t^2.08)/(g2^4*g3) + g2^3*g3^3*t^2.87 + (g2^5*t^3.92)/g3 + g1*g3^3*t^3.92 + (g2*g3^4*t^3.92)/g1 + t^4.17/(g1^2*g2^6) + (g2^2*t^4.17)/g3^10 + (2*t^4.17)/(g2*g3^7) + (g1*t^4.17)/(g2^3*g3^6) + t^4.17/(g1*g2^2*g3^5) + (3*t^4.17)/(g2^4*g3^4) + (2*g1*t^4.17)/(g2^6*g3^3) + (g1^2*t^4.17)/(g2^8*g3^2) + (2*t^4.17)/(g1*g2^5*g3^2) + t^4.17/(g2^7*g3) + (g2^4*t^4.96)/g3^2 + 3*g2*g3*t^4.96 + (g1*g3^2*t^4.96)/g2 + (g3^3*t^4.96)/g1 + g2^6*g3^6*t^5.75 - 3*t^6. + (g2^6*t^6.)/g3^6 + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g1^2*g3^2*t^6.)/g2^4 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (g3^4*t^6.)/(g1^2*g2^2) + t^6.25/(g1^3*g2^9) + (g2^3*t^6.25)/g3^15 + (2*t^6.25)/g3^12 + (g1*t^6.25)/(g2^2*g3^11) + t^6.25/(g1*g2*g3^10) + (3*t^6.25)/(g2^3*g3^9) + (2*g1*t^6.25)/(g2^5*g3^8) + (g1^2*t^6.25)/(g2^7*g3^7) + (2*t^6.25)/(g1*g2^4*g3^7) + (5*t^6.25)/(g2^6*g3^6) + (3*g1*t^6.25)/(g2^8*g3^5) + t^6.25/(g1^2*g2^5*g3^5) + (2*g1^2*t^6.25)/(g2^10*g3^4) + (3*t^6.25)/(g1*g2^7*g3^4) + (g1^3*t^6.25)/(g2^12*g3^3) + (2*t^6.25)/(g2^9*g3^3) + (g1*t^6.25)/(g2^11*g3^2) + (2*t^6.25)/(g1^2*g2^8*g3^2) + t^6.25/(g1*g2^10*g3) + g2^8*g3^2*t^6.79 + g1*g2^3*g3^6*t^6.79 + (g2^4*g3^7*t^6.79)/g1 + (2*g1*t^7.04)/g2^3 + (g2^5*t^7.04)/g3^7 + (2*g2^2*t^7.04)/g3^4 + (3*t^7.04)/(g2*g3) + (g1^2*g3*t^7.04)/g2^5 + (2*g3*t^7.04)/(g1*g2^2) + (g3^3*t^7.04)/(g1^2*g2^3) + (g2^10*t^7.83)/g3^2 + g1^2*g3^6*t^7.83 + (g2^2*g3^8*t^7.83)/g1^2 + (g1^2*t^8.08)/g2^6 - (2*t^8.08)/(g1*g2^3) + (g2^7*t^8.08)/g3^11 + (g2^4*t^8.08)/g3^8 + (g1*g2^2*t^8.08)/g3^7 + (g2^3*t^8.08)/(g1*g3^6) - (2*g2*t^8.08)/g3^5 + (g1^2*t^8.08)/(g2^3*g3^3) - (5*t^8.08)/(g2^2*g3^2) - (2*g1*t^8.08)/(g2^4*g3) + t^8.08/(g1^2*g2*g3) + (g1^3*g3*t^8.08)/g2^8 + (g1*g3^2*t^8.08)/g2^7 + (g3^2*t^8.08)/(g1^2*g2^4) + (g3^3*t^8.08)/(g1*g2^6) + (g3^4*t^8.08)/(g1^3*g2^5) + t^8.34/(g1^4*g2^12) + (g2^4*t^8.34)/g3^20 + (2*g2*t^8.34)/g3^17 + (g1*t^8.34)/(g2*g3^16) + t^8.34/(g1*g3^15) + (3*t^8.34)/(g2^2*g3^14) + (2*g1*t^8.34)/(g2^4*g3^13) + (g1^2*t^8.34)/(g2^6*g3^12) + (2*t^8.34)/(g1*g2^3*g3^12) + (5*t^8.34)/(g2^5*g3^11) + (3*g1*t^8.34)/(g2^7*g3^10) + t^8.34/(g1^2*g2^4*g3^10) + (2*g1^2*t^8.34)/(g2^9*g3^9) + (3*t^8.34)/(g1*g2^6*g3^9) + (g1^3*t^8.34)/(g2^11*g3^8) + (7*t^8.34)/(g2^8*g3^8) + (5*g1*t^8.34)/(g2^10*g3^7) + (2*t^8.34)/(g1^2*g2^7*g3^7) + (3*g1^2*t^8.34)/(g2^12*g3^6) + (5*t^8.34)/(g1*g2^9*g3^6) + (2*g1^3*t^8.34)/(g2^14*g3^5) + (3*t^8.34)/(g2^11*g3^5) + t^8.34/(g1^3*g2^8*g3^5) + (g1^4*t^8.34)/(g2^16*g3^4) + (2*g1*t^8.34)/(g2^13*g3^4) + (3*t^8.34)/(g1^2*g2^10*g3^4) + (g1^2*t^8.34)/(g2^15*g3^3) + (2*t^8.34)/(g1*g2^12*g3^3) + t^8.34/(g2^14*g3^2) + (2*t^8.34)/(g1^3*g2^11*g3^2) + t^8.34/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.62 + g2^6*t^8.87 + (g2^9*t^8.87)/g3^3 - 5*g2^3*g3^3*t^8.87 + g1*g2*g3^4*t^8.87 + (g1^2*g3^5*t^8.87)/g2 + (g2^2*g3^5*t^8.87)/g1 + (g2*g3^7*t^8.87)/g1^2 - t^4.04/(g2*g3*y) - t^6.13/(g3^6*y) - (2*t^6.13)/(g2^3*g3^3*y) - (g1*t^6.13)/(g2^5*g3^2*y) - t^6.13/(g1*g2^4*g3*y) + (2*t^7.17)/(g2*g3^7*y) + (g1*t^7.17)/(g2^3*g3^6*y) + t^7.17/(g1*g2^2*g3^5*y) + t^7.17/(g2^4*g3^4*y) + (2*g1*t^7.17)/(g2^6*g3^3*y) + (2*t^7.17)/(g1*g2^5*g3^2*y) + t^7.17/(g2^7*g3*y) + (g2^3*t^7.96)/(g1*y) + (g2^4*t^7.96)/(g3^2*y) + (g1*g2^2*t^7.96)/(g3*y) + (4*g2*g3*t^7.96)/y + (g1*g3^2*t^7.96)/(g2*y) + (g3^3*t^7.96)/(g1*y) + (g3^4*t^7.96)/(g2^2*y) - (g2*t^8.21)/(g3^11*y) - (2*t^8.21)/(g2^2*g3^8*y) - (g1*t^8.21)/(g2^4*g3^7*y) - t^8.21/(g1*g2^3*g3^6*y) - (3*t^8.21)/(g2^5*g3^5*y) - (2*g1*t^8.21)/(g2^7*g3^4*y) - (g1^2*t^8.21)/(g2^9*g3^3*y) - (2*t^8.21)/(g1*g2^6*g3^3*y) - t^8.21/(g2^8*g3^2*y) - t^8.21/(g1^2*g2^7*g3*y) - (t^4.04*y)/(g2*g3) - (t^6.13*y)/g3^6 - (2*t^6.13*y)/(g2^3*g3^3) - (g1*t^6.13*y)/(g2^5*g3^2) - (t^6.13*y)/(g1*g2^4*g3) + (2*t^7.17*y)/(g2*g3^7) + (g1*t^7.17*y)/(g2^3*g3^6) + (t^7.17*y)/(g1*g2^2*g3^5) + (t^7.17*y)/(g2^4*g3^4) + (2*g1*t^7.17*y)/(g2^6*g3^3) + (2*t^7.17*y)/(g1*g2^5*g3^2) + (t^7.17*y)/(g2^7*g3) + (g2^3*t^7.96*y)/g1 + (g2^4*t^7.96*y)/g3^2 + (g1*g2^2*t^7.96*y)/g3 + 4*g2*g3*t^7.96*y + (g1*g3^2*t^7.96*y)/g2 + (g3^3*t^7.96*y)/g1 + (g3^4*t^7.96*y)/g2^2 - (g2*t^8.21*y)/g3^11 - (2*t^8.21*y)/(g2^2*g3^8) - (g1*t^8.21*y)/(g2^4*g3^7) - (t^8.21*y)/(g1*g2^3*g3^6) - (3*t^8.21*y)/(g2^5*g3^5) - (2*g1*t^8.21*y)/(g2^7*g3^4) - (g1^2*t^8.21*y)/(g2^9*g3^3) - (2*t^8.21*y)/(g1*g2^6*g3^3) - (t^8.21*y)/(g2^8*g3^2) - (t^8.21*y)/(g1^2*g2^7*g3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 302 | $\phi_1q_1q_2$ + $ 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 119 | 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$ | 0.6689 | 0.8346 | 0.8015 | [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*y | detail |