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 |
|---|---|---|---|---|---|---|---|---|---|
| 339 | 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_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 1.2223, 0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0]], 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 |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_4$, $ M_5$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6^2$, $ M_4M_6$, $ M_1M_6$, $ M_3M_6$, $ M_5M_6$, $ M_1^2$, $ M_4^2$, $ M_1M_4$, $ M_5^2$, $ M_3^2$, $ M_3M_5$, $ M_1M_5$, $ M_3M_4$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \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$, $ M_6q_1\tilde{q}_2$, $ M_2M_6$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$ | -4 | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - 4*t^6.09 + t^6.73 + 4*t^6.82 + 10*t^6.91 + 3*t^6.98 + 20*t^7. + 12*t^7.08 + t^7.15 + 12*t^7.17 + t^7.24 + 8*t^7.26 + t^8.06 + t^8.15 - 7*t^8.24 + 3*t^8.32 - 22*t^8.33 - 13*t^8.42 - 4*t^8.5 - 4*t^8.59 + t^8.97 - t^4.17/y - t^6.41/y - (4*t^6.5)/y + (4*t^7.57)/y + (6*t^7.67)/y + (4*t^7.83)/y + t^7.92/y - t^8.65/y - (4*t^8.74)/y + t^8.82/y - (10*t^8.83)/y + (5*t^8.91)/y - t^4.17*y - t^6.41*y - 4*t^6.5*y + 4*t^7.57*y + 6*t^7.67*y + 4*t^7.83*y + t^7.92*y - t^8.65*y - 4*t^8.74*y + t^8.82*y - 10*t^8.83*y + 5*t^8.91*y | t^2.24/(g2^4*g3^4) + t^2.33/(g1^4*g2^4) + t^2.33/(g1^4*g3^4) + t^2.33/(g2^4*g4^4) + t^2.33/(g3^4*g4^4) + g1^4*g4^4*t^3.58 + g1^2*g2^2*g3^2*g4^2*t^3.67 + t^4.48/(g2^8*g3^8) + t^4.57/(g1^4*g2^4*g3^8) + t^4.57/(g1^4*g2^8*g3^4) + t^4.57/(g2^4*g3^8*g4^4) + t^4.57/(g2^8*g3^4*g4^4) + t^4.67/(g1^8*g2^8) + t^4.67/(g1^8*g3^8) + t^4.67/(g1^8*g2^4*g3^4) + t^4.67/(g2^8*g4^8) + t^4.67/(g3^8*g4^8) + t^4.67/(g2^4*g3^4*g4^8) + t^4.67/(g1^4*g2^8*g4^4) + t^4.67/(g1^4*g3^8*g4^4) + (2*t^4.67)/(g1^4*g2^4*g3^4*g4^4) + (g1^7*t^4.74)/(g2*g3*g4) + (g1^3*g4^3*t^4.74)/(g2*g3) + (g4^7*t^4.74)/(g1*g2*g3) + (g1^3*g2^3*t^4.83)/(g3*g4) + (g1^3*g3^3*t^4.83)/(g2*g4) + (g2^3*g4^3*t^4.83)/(g1*g3) + (g3^3*g4^3*t^4.83)/(g1*g2) + (g2^7*t^4.92)/(g1*g3*g4) + (g2^3*g3^3*t^4.92)/(g1*g4) + (g3^7*t^4.92)/(g1*g2*g4) + (g1^4*g4^4*t^5.82)/(g2^4*g3^4) + (g1^2*g4^2*t^5.91)/(g2^2*g3^2) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.)/g4^4 + (g1^2*g2^2*t^6.)/(g3^2*g4^2) + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) + (g3^2*g4^2*t^6.)/(g1^2*g2^2) - (g4^4*t^6.)/g1^4 - (g2^4*t^6.09)/g1^4 - (g3^4*t^6.09)/g1^4 - (g2^4*t^6.09)/g4^4 - (g3^4*t^6.09)/g4^4 + t^6.73/(g2^12*g3^12) + t^6.82/(g1^4*g2^8*g3^12) + t^6.82/(g1^4*g2^12*g3^8) + t^6.82/(g2^8*g3^12*g4^4) + t^6.82/(g2^12*g3^8*g4^4) + t^6.91/(g1^8*g2^4*g3^12) + t^6.91/(g1^8*g2^8*g3^8) + t^6.91/(g1^8*g2^12*g3^4) + t^6.91/(g2^4*g3^12*g4^8) + t^6.91/(g2^8*g3^8*g4^8) + t^6.91/(g2^12*g3^4*g4^8) + t^6.91/(g1^4*g2^4*g3^12*g4^4) + (2*t^6.91)/(g1^4*g2^8*g3^8*g4^4) + t^6.91/(g1^4*g2^12*g3^4*g4^4) + (g1^7*t^6.98)/(g2^5*g3^5*g4) + (g1^3*g4^3*t^6.98)/(g2^5*g3^5) + (g4^7*t^6.98)/(g1*g2^5*g3^5) + t^7./(g1^12*g2^12) + t^7./(g1^12*g3^12) + t^7./(g1^12*g2^4*g3^8) + t^7./(g1^12*g2^8*g3^4) + t^7./(g2^12*g4^12) + t^7./(g3^12*g4^12) + t^7./(g2^4*g3^8*g4^12) + t^7./(g2^8*g3^4*g4^12) + t^7./(g1^4*g2^12*g4^8) + t^7./(g1^4*g3^12*g4^8) + (2*t^7.)/(g1^4*g2^4*g3^8*g4^8) + (2*t^7.)/(g1^4*g2^8*g3^4*g4^8) + t^7./(g1^8*g2^12*g4^4) + t^7./(g1^8*g3^12*g4^4) + (2*t^7.)/(g1^8*g2^4*g3^8*g4^4) + (2*t^7.)/(g1^8*g2^8*g3^4*g4^4) + (g1^7*t^7.08)/(g2*g3^5*g4^5) + (g1^7*t^7.08)/(g2^5*g3*g4^5) + (2*g1^3*t^7.08)/(g2*g3^5*g4) + (2*g1^3*t^7.08)/(g2^5*g3*g4) + (2*g4^3*t^7.08)/(g1*g2*g3^5) + (2*g4^3*t^7.08)/(g1*g2^5*g3) + (g4^7*t^7.08)/(g1^5*g2*g3^5) + (g4^7*t^7.08)/(g1^5*g2^5*g3) + g1^8*g4^8*t^7.15 + (g1^3*g2^3*t^7.17)/(g3^5*g4^5) + (g1^3*t^7.17)/(g2*g3*g4^5) + (g1^3*g3^3*t^7.17)/(g2^5*g4^5) + (2*g2^3*t^7.17)/(g1*g3^5*g4) + (2*t^7.17)/(g1*g2*g3*g4) + (2*g3^3*t^7.17)/(g1*g2^5*g4) + (g2^3*g4^3*t^7.17)/(g1^5*g3^5) + (g4^3*t^7.17)/(g1^5*g2*g3) + (g3^3*g4^3*t^7.17)/(g1^5*g2^5) + g1^6*g2^2*g3^2*g4^6*t^7.24 + (g2^7*t^7.26)/(g1*g3^5*g4^5) + (g2^3*t^7.26)/(g1*g3*g4^5) + (g3^3*t^7.26)/(g1*g2*g4^5) + (g3^7*t^7.26)/(g1*g2^5*g4^5) + (g2^7*t^7.26)/(g1^5*g3^5*g4) + (g2^3*t^7.26)/(g1^5*g3*g4) + (g3^3*t^7.26)/(g1^5*g2*g4) + (g3^7*t^7.26)/(g1^5*g2^5*g4) + (g1^4*g4^4*t^8.06)/(g2^8*g3^8) + (g1^2*g4^2*t^8.15)/(g2^6*g3^6) - t^8.24/g2^8 - t^8.24/g3^8 - (5*t^8.24)/(g2^4*g3^4) - (2*g1^4*t^8.24)/(g2^4*g3^4*g4^4) + (g1^2*t^8.24)/(g2^2*g3^6*g4^2) + (g1^2*t^8.24)/(g2^6*g3^2*g4^2) + (g4^2*t^8.24)/(g1^2*g2^2*g3^6) + (g4^2*t^8.24)/(g1^2*g2^6*g3^2) - (2*g4^4*t^8.24)/(g1^4*g2^4*g3^4) + (g1^11*g4^3*t^8.32)/(g2*g3) + (g1^7*g4^7*t^8.32)/(g2*g3) + (g1^3*g4^11*t^8.32)/(g2*g3) - (6*t^8.33)/(g1^4*g2^4) - (g2^4*t^8.33)/(g1^4*g3^8) - (6*t^8.33)/(g1^4*g3^4) - (g3^4*t^8.33)/(g1^4*g2^8) - (g1^4*t^8.33)/(g2^4*g4^8) - (g1^4*t^8.33)/(g3^4*g4^8) + (g1^2*g2^2*t^8.33)/(g3^6*g4^6) + (g1^2*t^8.33)/(g2^2*g3^2*g4^6) + (g1^2*g3^2*t^8.33)/(g2^6*g4^6) - (6*t^8.33)/(g2^4*g4^4) - (g2^4*t^8.33)/(g3^8*g4^4) - (6*t^8.33)/(g3^4*g4^4) - (g3^4*t^8.33)/(g2^8*g4^4) + (g2^2*t^8.33)/(g1^2*g3^6*g4^2) + (2*t^8.33)/(g1^2*g2^2*g3^2*g4^2) + (g3^2*t^8.33)/(g1^2*g2^6*g4^2) + (g2^2*g4^2*t^8.33)/(g1^6*g3^6) + (g4^2*t^8.33)/(g1^6*g2^2*g3^2) + (g3^2*g4^2*t^8.33)/(g1^6*g2^6) - (g4^4*t^8.33)/(g1^8*g2^4) - (g4^4*t^8.33)/(g1^8*g3^4) - t^8.42/g1^8 - (g2^4*t^8.42)/(g1^8*g3^4) - (g3^4*t^8.42)/(g1^8*g2^4) - t^8.42/g4^8 - (g2^4*t^8.42)/(g3^4*g4^8) - (g3^4*t^8.42)/(g2^4*g4^8) - (3*t^8.42)/(g1^4*g4^4) - (2*g2^4*t^8.42)/(g1^4*g3^4*g4^4) - (2*g3^4*t^8.42)/(g1^4*g2^4*g4^4) - (g1^7*g2^3*g3^3*t^8.5)/g4 - 2*g1^3*g2^3*g3^3*g4^3*t^8.5 - (g2^3*g3^3*g4^7*t^8.5)/g1 - (g1^3*g2^7*g3^3*t^8.59)/g4 - (g1^3*g2^3*g3^7*t^8.59)/g4 - (g2^7*g3^3*g4^3*t^8.59)/g1 - (g2^3*g3^7*g4^3*t^8.59)/g1 + t^8.97/(g2^16*g3^16) - t^4.17/(g1*g2*g3*g4*y) - t^6.41/(g1*g2^5*g3^5*g4*y) - t^6.5/(g1*g2*g3^5*g4^5*y) - t^6.5/(g1*g2^5*g3*g4^5*y) - t^6.5/(g1^5*g2*g3^5*g4*y) - t^6.5/(g1^5*g2^5*g3*g4*y) + t^7.57/(g1^4*g2^4*g3^8*y) + t^7.57/(g1^4*g2^8*g3^4*y) + t^7.57/(g2^4*g3^8*g4^4*y) + t^7.57/(g2^8*g3^4*g4^4*y) + t^7.67/(g1^8*g2^4*g3^4*y) + t^7.67/(g2^4*g3^4*g4^8*y) + t^7.67/(g1^4*g2^8*g4^4*y) + t^7.67/(g1^4*g3^8*g4^4*y) + (2*t^7.67)/(g1^4*g2^4*g3^4*g4^4*y) + (g1^3*g2^3*t^7.83)/(g3*g4*y) + (g1^3*g3^3*t^7.83)/(g2*g4*y) + (g2^3*g4^3*t^7.83)/(g1*g3*y) + (g3^3*g4^3*t^7.83)/(g1*g2*y) + (g2^3*g3^3*t^7.92)/(g1*g4*y) - t^8.65/(g1*g2^9*g3^9*g4*y) - t^8.74/(g1*g2^5*g3^9*g4^5*y) - t^8.74/(g1*g2^9*g3^5*g4^5*y) - t^8.74/(g1^5*g2^5*g3^9*g4*y) - t^8.74/(g1^5*g2^9*g3^5*g4*y) + (g1^4*g4^4*t^8.82)/(g2^4*g3^4*y) - t^8.83/(g1*g2*g3^9*g4^9*y) - t^8.83/(g1*g2^5*g3^5*g4^9*y) - t^8.83/(g1*g2^9*g3*g4^9*y) - t^8.83/(g1^5*g2*g3^9*g4^5*y) - (2*t^8.83)/(g1^5*g2^5*g3^5*g4^5*y) - t^8.83/(g1^5*g2^9*g3*g4^5*y) - t^8.83/(g1^9*g2*g3^9*g4*y) - t^8.83/(g1^9*g2^5*g3^5*g4*y) - t^8.83/(g1^9*g2^9*g3*g4*y) + (g1^4*t^8.91)/(g2^4*y) + (g1^4*t^8.91)/(g3^4*y) + (g1^2*g4^2*t^8.91)/(g2^2*g3^2*y) + (g4^4*t^8.91)/(g2^4*y) + (g4^4*t^8.91)/(g3^4*y) - (t^4.17*y)/(g1*g2*g3*g4) - (t^6.41*y)/(g1*g2^5*g3^5*g4) - (t^6.5*y)/(g1*g2*g3^5*g4^5) - (t^6.5*y)/(g1*g2^5*g3*g4^5) - (t^6.5*y)/(g1^5*g2*g3^5*g4) - (t^6.5*y)/(g1^5*g2^5*g3*g4) + (t^7.57*y)/(g1^4*g2^4*g3^8) + (t^7.57*y)/(g1^4*g2^8*g3^4) + (t^7.57*y)/(g2^4*g3^8*g4^4) + (t^7.57*y)/(g2^8*g3^4*g4^4) + (t^7.67*y)/(g1^8*g2^4*g3^4) + (t^7.67*y)/(g2^4*g3^4*g4^8) + (t^7.67*y)/(g1^4*g2^8*g4^4) + (t^7.67*y)/(g1^4*g3^8*g4^4) + (2*t^7.67*y)/(g1^4*g2^4*g3^4*g4^4) + (g1^3*g2^3*t^7.83*y)/(g3*g4) + (g1^3*g3^3*t^7.83*y)/(g2*g4) + (g2^3*g4^3*t^7.83*y)/(g1*g3) + (g3^3*g4^3*t^7.83*y)/(g1*g2) + (g2^3*g3^3*t^7.92*y)/(g1*g4) - (t^8.65*y)/(g1*g2^9*g3^9*g4) - (t^8.74*y)/(g1*g2^5*g3^9*g4^5) - (t^8.74*y)/(g1*g2^9*g3^5*g4^5) - (t^8.74*y)/(g1^5*g2^5*g3^9*g4) - (t^8.74*y)/(g1^5*g2^9*g3^5*g4) + (g1^4*g4^4*t^8.82*y)/(g2^4*g3^4) - (t^8.83*y)/(g1*g2*g3^9*g4^9) - (t^8.83*y)/(g1*g2^5*g3^5*g4^9) - (t^8.83*y)/(g1*g2^9*g3*g4^9) - (t^8.83*y)/(g1^5*g2*g3^9*g4^5) - (2*t^8.83*y)/(g1^5*g2^5*g3^5*g4^5) - (t^8.83*y)/(g1^5*g2^9*g3*g4^5) - (t^8.83*y)/(g1^9*g2*g3^9*g4) - (t^8.83*y)/(g1^9*g2^5*g3^5*g4) - (t^8.83*y)/(g1^9*g2^9*g3*g4) + (g1^4*t^8.91*y)/g2^4 + (g1^4*t^8.91*y)/g3^4 + (g1^2*g4^2*t^8.91*y)/(g2^2*g3^2) + (g4^4*t^8.91*y)/g2^4 + (g4^4*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 536 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.8325, 1.2021, 0.7634, 0.797, 0.7989, 0.7634, 1.1675], q:[0.5669, 0.6005], qb:[0.6361, 0.6005], phi:[0.399]] | 2*t^2.29 + t^2.39 + t^2.4 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 2*t^4.68 + 2*t^4.69 + 2*t^4.7 + t^4.78 + 2*t^4.79 + 3*t^4.8 + t^4.81 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y | detail | |
| 535 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 534 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 539 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 1.2381, 0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 26/21, M3: 16/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 212 | 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_5q_2\tilde{q}_2$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail |