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 |
|---|---|---|---|---|---|---|---|---|---|
| 211 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ | 0.7262 | 0.8734 | 0.8315 | [X:[], M:[0.8033, 1.1538, 0.8891, 0.8033, 1.1109], q:[0.6209, 0.5758], qb:[0.5758, 0.5351], phi:[0.4231]] | [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, 0, 4, 4]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ M_4^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_2M_4$, $ M_1M_2$ | . | -6 | 2*t^2.41 + 2*t^3.33 + 2*t^3.46 + t^3.47 + t^4.48 + 2*t^4.6 + 3*t^4.72 + t^4.74 + 3*t^4.82 + 2*t^4.86 + t^4.99 + 3*t^5.74 + 2*t^5.87 - 6*t^6. - 2*t^6.12 - 2*t^6.14 - t^6.26 + 3*t^6.67 + 4*t^6.79 + 2*t^6.8 + 2*t^6.89 + t^6.91 + 2*t^6.92 + t^6.93 + t^6.94 + 3*t^7.01 + 4*t^7.13 + 4*t^7.23 - t^7.27 - 2*t^7.39 - t^7.53 + 2*t^7.81 + 4*t^7.93 + t^7.95 + 6*t^8.06 + 2*t^8.07 + 4*t^8.15 + 3*t^8.18 + 3*t^8.19 + t^8.21 + 3*t^8.28 - t^8.29 + 2*t^8.33 - 10*t^8.41 + t^8.46 - 3*t^8.53 - t^8.54 + t^8.79 + t^8.96 - t^4.27/y - (2*t^6.68)/y + t^7.82/y + (2*t^7.86)/y + (4*t^8.74)/y + (2*t^8.86)/y + (2*t^8.87)/y + (2*t^8.88)/y - t^4.27*y - 2*t^6.68*y + t^7.82*y + 2*t^7.86*y + 4*t^8.74*y + 2*t^8.86*y + 2*t^8.87*y + 2*t^8.88*y | t^2.41/(g1^4*g2^4) + t^2.41/(g1^4*g3^4) + g2^4*g4^4*t^3.33 + g3^4*g4^4*t^3.33 + g2^4*g3^4*t^3.46 + g1^2*g2^2*g3^2*g4^2*t^3.46 + g1^4*g4^4*t^3.47 + (g4^7*t^4.48)/(g1*g2*g3) + (g2^3*g4^3*t^4.6)/(g1*g3) + (g3^3*g4^3*t^4.6)/(g1*g2) + (g2^7*t^4.72)/(g1*g3*g4) + (g2^3*g3^3*t^4.72)/(g1*g4) + (g3^7*t^4.72)/(g1*g2*g4) + (g1^3*g4^3*t^4.74)/(g2*g3) + t^4.82/(g1^8*g2^8) + t^4.82/(g1^8*g3^8) + t^4.82/(g1^8*g2^4*g3^4) + (g1^3*g2^3*t^4.86)/(g3*g4) + (g1^3*g3^3*t^4.86)/(g2*g4) + (g1^7*t^4.99)/(g2*g3*g4) + (g4^4*t^5.74)/g1^4 + (g2^4*g4^4*t^5.74)/(g1^4*g3^4) + (g3^4*g4^4*t^5.74)/(g1^4*g2^4) + (g2^2*g4^2*t^5.87)/(g1^2*g3^2) + (g3^2*g4^2*t^5.87)/(g1^2*g2^2) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g2^4*t^6.12)/g4^4 - (g3^4*t^6.12)/g4^4 - (g1^4*t^6.14)/g2^4 - (g1^4*t^6.14)/g3^4 - (g1^4*t^6.26)/g4^4 + g2^8*g4^8*t^6.67 + g2^4*g3^4*g4^8*t^6.67 + g3^8*g4^8*t^6.67 + g2^8*g3^4*g4^4*t^6.79 + g2^4*g3^8*g4^4*t^6.79 + g1^2*g2^6*g3^2*g4^6*t^6.79 + g1^2*g2^2*g3^6*g4^6*t^6.79 + g1^4*g2^4*g4^8*t^6.8 + g1^4*g3^4*g4^8*t^6.8 + (g4^7*t^6.89)/(g1^5*g2*g3^5) + (g4^7*t^6.89)/(g1^5*g2^5*g3) + g2^8*g3^8*t^6.91 + g1^2*g2^6*g3^6*g4^2*t^6.92 + g1^4*g2^4*g3^4*g4^4*t^6.92 + g1^6*g2^2*g3^2*g4^6*t^6.93 + g1^8*g4^8*t^6.94 + (g2^3*g4^3*t^7.01)/(g1^5*g3^5) + (g4^3*t^7.01)/(g1^5*g2*g3) + (g3^3*g4^3*t^7.01)/(g1^5*g2^5) + (g2^7*t^7.13)/(g1^5*g3^5*g4) + (g2^3*t^7.13)/(g1^5*g3*g4) + (g3^3*t^7.13)/(g1^5*g2*g4) + (g3^7*t^7.13)/(g1^5*g2^5*g4) + t^7.23/(g1^12*g2^12) + t^7.23/(g1^12*g3^12) + t^7.23/(g1^12*g2^4*g3^8) + t^7.23/(g1^12*g2^8*g3^4) - t^7.27/(g1*g2*g3*g4) - (g2^3*t^7.39)/(g1*g3*g4^5) - (g3^3*t^7.39)/(g1*g2*g4^5) - (g1^3*t^7.53)/(g2*g3*g4^5) + (g2^3*g4^11*t^7.81)/(g1*g3) + (g3^3*g4^11*t^7.81)/(g1*g2) + (g2^7*g4^7*t^7.93)/(g1*g3) + (2*g2^3*g3^3*g4^7*t^7.93)/g1 + (g3^7*g4^7*t^7.93)/(g1*g2) + (g1^3*g4^11*t^7.95)/(g2*g3) + (g2^11*g4^3*t^8.06)/(g1*g3) + (2*g2^7*g3^3*g4^3*t^8.06)/g1 + (2*g2^3*g3^7*g4^3*t^8.06)/g1 + (g3^11*g4^3*t^8.06)/(g1*g2) + (g1^3*g2^3*g4^7*t^8.07)/g3 + (g1^3*g3^3*g4^7*t^8.07)/g2 + (g4^4*t^8.15)/(g1^8*g2^4) + (g2^4*g4^4*t^8.15)/(g1^8*g3^8) + (g4^4*t^8.15)/(g1^8*g3^4) + (g3^4*g4^4*t^8.15)/(g1^8*g2^8) + (g2^11*g3^3*t^8.18)/(g1*g4) + (g2^7*g3^7*t^8.18)/(g1*g4) + (g2^3*g3^11*t^8.18)/(g1*g4) + (g1^3*g2^7*g4^3*t^8.19)/g3 + g1^3*g2^3*g3^3*g4^3*t^8.19 + (g1^3*g3^7*g4^3*t^8.19)/g2 + (g1^7*g4^7*t^8.21)/(g2*g3) + (g2^2*g4^2*t^8.28)/(g1^6*g3^6) + (g4^2*t^8.28)/(g1^6*g2^2*g3^2) + (g3^2*g4^2*t^8.28)/(g1^6*g2^6) - (g4^4*t^8.29)/(g1^4*g2^4*g3^4) + (g1^7*g2^3*g4^3*t^8.33)/g3 + (g1^7*g3^3*g4^3*t^8.33)/g2 - (4*t^8.41)/(g1^4*g2^4) - (g2^4*t^8.41)/(g1^4*g3^8) - (4*t^8.41)/(g1^4*g3^4) - (g3^4*t^8.41)/(g1^4*g2^8) + (g1^11*g4^3*t^8.46)/(g2*g3) - t^8.53/(g1^4*g4^4) - (g2^4*t^8.53)/(g1^4*g3^4*g4^4) - (g3^4*t^8.53)/(g1^4*g2^4*g4^4) - t^8.54/(g2^4*g3^4) + t^8.79/g4^8 + (g4^14*t^8.96)/(g1^2*g2^2*g3^2) - t^4.27/(g1*g2*g3*g4*y) - t^6.68/(g1^5*g2*g3^5*g4*y) - t^6.68/(g1^5*g2^5*g3*g4*y) + t^7.82/(g1^8*g2^4*g3^4*y) + (g1^3*g2^3*t^7.86)/(g3*g4*y) + (g1^3*g3^3*t^7.86)/(g2*g4*y) + (2*g4^4*t^8.74)/(g1^4*y) + (g2^4*g4^4*t^8.74)/(g1^4*g3^4*y) + (g3^4*g4^4*t^8.74)/(g1^4*g2^4*y) + (g2^4*t^8.86)/(g1^4*y) + (g3^4*t^8.86)/(g1^4*y) + (g2^2*g4^2*t^8.87)/(g1^2*g3^2*y) + (g3^2*g4^2*t^8.87)/(g1^2*g2^2*y) + (g4^4*t^8.88)/(g2^4*y) + (g4^4*t^8.88)/(g3^4*y) - (t^4.27*y)/(g1*g2*g3*g4) - (t^6.68*y)/(g1^5*g2*g3^5*g4) - (t^6.68*y)/(g1^5*g2^5*g3*g4) + (t^7.82*y)/(g1^8*g2^4*g3^4) + (g1^3*g2^3*t^7.86*y)/(g3*g4) + (g1^3*g3^3*t^7.86*y)/(g2*g4) + (2*g4^4*t^8.74*y)/g1^4 + (g2^4*g4^4*t^8.74*y)/(g1^4*g3^4) + (g3^4*g4^4*t^8.74*y)/(g1^4*g2^4) + (g2^4*t^8.86*y)/g1^4 + (g3^4*t^8.86*y)/g1^4 + (g2^2*g4^2*t^8.87*y)/(g1^2*g3^2) + (g3^2*g4^2*t^8.87*y)/(g1^2*g2^2) + (g4^4*t^8.88*y)/g2^4 + (g4^4*t^8.88*y)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1733 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.6996 | 0.8578 | 0.8156 | [X:[], M:[0.6908, 1.1679, 0.9735, 0.6908, 1.0265], q:[0.792, 0.5172], qb:[0.5172, 0.5093], phi:[0.4161]] | 2*t^2.07 + 2*t^3.08 + t^3.1 + t^3.5 + t^3.9 + 3*t^4.14 + t^4.3 + 2*t^4.33 + 3*t^4.35 + 4*t^5.15 + 2*t^5.18 + 2*t^5.58 - 5*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 129 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.7394 | 0.8922 | 0.8287 | [X:[], M:[0.8151, 1.1849, 0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.33 + 2*t^2.45 + t^3.44 + 3*t^3.55 + 4*t^4.66 + 6*t^4.78 + 6*t^4.89 + t^5.77 + t^5.89 - 2*t^6. - t^4.22/y - t^4.22*y | detail |