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 |
|---|---|---|---|---|---|---|---|---|---|
| 1825 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ | 0.6366 | 0.7855 | 0.8105 | [X:[1.6178], M:[0.7368, 0.7919, 0.3822, 1.1465, 0.8535], q:[0.8673, 0.396], qb:[0.7506, 0.4575], phi:[0.3822]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ X_1$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ \phi_1^3q_2^2$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_2$ | -1 | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. + t^6.08 + t^6.1 + t^6.18 + 2*t^6.27 + t^6.35 + t^6.45 + t^6.53 + t^6.63 + t^6.71 + 2*t^6.8 + 2*t^6.88 + 2*t^6.96 + t^6.98 + 2*t^7.04 + t^7.06 + t^7.13 + t^7.15 + t^7.23 + t^7.31 + t^7.41 + t^7.5 + t^7.68 + t^7.78 + t^7.86 + t^7.87 + t^7.94 + t^7.95 + t^8.03 + t^8.11 + t^8.19 - 2*t^8.21 + t^8.27 - t^8.29 + t^8.31 - 2*t^8.38 + t^8.4 + t^8.46 - t^8.56 + t^8.64 + t^8.66 + t^8.73 + t^8.75 + 2*t^8.83 + t^8.84 + t^8.91 + t^8.92 - t^4.15/y - t^6.36/y - t^6.44/y - t^6.52/y + t^7.5/y + t^7.59/y + t^7.67/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.94)/y - t^8.57/y + t^8.82/y + t^8.92/y - t^4.15*y - t^6.36*y - t^6.44*y - t^6.52*y + t^7.5*y + t^7.59*y + t^7.67*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.94*y - t^8.57*y + t^8.82*y + t^8.92*y | (g1^2*t^2.21)/g2^10 + t^2.29/g2^2 + (g2^6*t^2.38)/g1^2 + g2^3*t^2.56 + t^3.44/g2^3 + (g2^5*t^3.52)/g1^2 + g2^2*t^3.71 + (g1^2*t^3.89)/g2 + g2^7*t^3.97 + (g1^4*t^4.42)/g2^20 + (g1^2*t^4.5)/g2^12 + (2*t^4.59)/g2^4 + (g2^4*t^4.67)/g1^2 + (g2^12*t^4.75)/g1^4 + (g1^2*t^4.77)/g2^7 + 2*g2*t^4.85 + (g2^9*t^4.94)/g1^2 + g2^6*t^5.12 + (g1^2*t^5.65)/g2^13 + t^5.73/g2^5 + (g2^3*t^5.82)/g1^2 + (g2^11*t^5.9)/g1^4 - t^6. + (g2^8*t^6.08)/g1^2 + (g1^4*t^6.1)/g2^11 + (g1^2*t^6.18)/g2^3 + 2*g2^5*t^6.27 + (g2^13*t^6.35)/g1^2 + g1^2*g2^2*t^6.45 + g2^10*t^6.53 + (g1^6*t^6.63)/g2^30 + (g1^4*t^6.71)/g2^22 + (2*g1^2*t^6.8)/g2^14 + (2*t^6.88)/g2^6 + (2*g2^2*t^6.96)/g1^2 + (g1^4*t^6.98)/g2^17 + (2*g2^10*t^7.04)/g1^4 + (g1^2*t^7.06)/g2^9 + (g2^18*t^7.13)/g1^6 + t^7.15/g2 + (g2^7*t^7.23)/g1^2 + (g2^15*t^7.31)/g1^4 + g2^4*t^7.41 + (g2^12*t^7.5)/g1^2 + g2^9*t^7.68 + (g1^4*t^7.78)/g2^2 + (g1^4*t^7.86)/g2^23 + g1^2*g2^6*t^7.87 + (g1^2*t^7.94)/g2^15 + g2^14*t^7.95 + t^8.03/g2^7 + (g2*t^8.11)/g1^2 + (g2^9*t^8.19)/g1^4 - (2*g1^2*t^8.21)/g2^10 + (g2^17*t^8.27)/g1^6 - t^8.29/g2^2 + (g1^6*t^8.31)/g2^21 - (2*g2^6*t^8.38)/g1^2 + (g1^4*t^8.4)/g2^13 + (g2^14*t^8.46)/g1^4 - g2^3*t^8.56 + (g2^11*t^8.64)/g1^2 + (g1^4*t^8.66)/g2^8 + (g2^19*t^8.73)/g1^4 + g1^2*t^8.75 + 2*g2^8*t^8.83 + (g1^8*t^8.84)/g2^40 + (g2^16*t^8.91)/g1^2 + (g1^6*t^8.92)/g2^32 - t^4.15/(g2*y) - (g1^2*t^6.36)/(g2^11*y) - t^6.44/(g2^3*y) - (g2^5*t^6.52)/(g1^2*y) + (g1^2*t^7.5)/(g2^12*y) + t^7.59/(g2^4*y) + (g2^4*t^7.67)/(g1^2*y) + (2*g1^2*t^7.77)/(g2^7*y) + (2*g2*t^7.85)/y + (2*g2^9*t^7.94)/(g1^2*y) - (g1^4*t^8.57)/(g2^21*y) + (g2^3*t^8.82)/(g1^2*y) + (g1^2*t^8.92)/(g2^8*y) - (t^4.15*y)/g2 - (g1^2*t^6.36*y)/g2^11 - (t^6.44*y)/g2^3 - (g2^5*t^6.52*y)/g1^2 + (g1^2*t^7.5*y)/g2^12 + (t^7.59*y)/g2^4 + (g2^4*t^7.67*y)/g1^2 + (2*g1^2*t^7.77*y)/g2^7 + 2*g2*t^7.85*y + (2*g2^9*t^7.94*y)/g1^2 - (g1^4*t^8.57*y)/g2^21 + (g2^3*t^8.82*y)/g1^2 + (g1^2*t^8.92*y)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2845 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_1M_6$ | 0.6178 | 0.753 | 0.8204 | [X:[1.6134], M:[0.7771, 0.7693, 0.3866, 1.1598, 0.8402, 1.2229], q:[0.8383, 0.3846], qb:[0.7752, 0.4556], phi:[0.3866]] | t^2.31 + t^2.32 + t^2.52 + t^3.47 + t^3.48 + t^3.67 + t^3.68 + t^3.88 + t^3.89 + t^4.62 + t^4.63 + t^4.64 + t^4.83 + 2*t^4.84 + t^5.04 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 2848 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2M_6$ | 0.6206 | 0.7586 | 0.8181 | [X:[1.6169], M:[0.7075, 0.8251, 0.3831, 1.1494, 0.8506, 1.1749], q:[0.88, 0.4125], qb:[0.7369, 0.438], phi:[0.3831]] | t^2.12 + t^2.3 + t^2.55 + t^3.45 + t^3.52 + t^3.62 + t^3.7 + t^3.78 + t^3.95 + t^4.24 + t^4.42 + t^4.6 + t^4.67 + 2*t^4.85 + t^5.1 + t^5.57 + t^5.65 + t^5.75 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 2844 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2\phi_1q_2^2$ | 0.6363 | 0.7853 | 0.8103 | [X:[1.6169], M:[0.7237, 0.8085, 0.3831, 1.1492, 0.8508], q:[0.872, 0.4042], qb:[0.7449, 0.4466], phi:[0.3831]] | t^2.17 + t^2.3 + t^2.43 + t^2.55 + t^3.45 + t^3.57 + t^3.7 + t^3.83 + t^3.96 + t^4.34 + t^4.47 + 2*t^4.6 + 2*t^4.72 + 3*t^4.85 + t^4.98 + t^5.11 + t^5.62 + t^5.75 + t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 2849 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_4M_6$ | 0.6501 | 0.8094 | 0.8031 | [X:[1.6126], M:[0.7548, 0.7947, 0.3874, 1.1622, 0.8378, 0.8378], q:[0.8478, 0.3974], qb:[0.7648, 0.4405], phi:[0.3874]] | t^2.26 + t^2.32 + t^2.38 + 2*t^2.51 + t^3.55 + t^3.68 + t^3.81 + t^3.86 + t^4.53 + t^4.59 + 2*t^4.65 + t^4.71 + t^4.77 + 2*t^4.78 + 3*t^4.84 + 2*t^4.9 + 3*t^5.03 + t^5.93 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 2846 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_6\phi_1q_2^2$ | 0.6525 | 0.8144 | 0.8012 | [X:[1.6156], M:[0.7165, 0.8211, 0.3844, 1.1532, 0.8468, 0.7945], q:[0.873, 0.4106], qb:[0.7426, 0.4363], phi:[0.3844]] | t^2.15 + t^2.31 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + t^3.69 + t^3.77 + t^3.93 + t^4.3 + t^4.46 + t^4.53 + 2*t^4.61 + 2*t^4.69 + 2*t^4.77 + 3*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.61 + t^5.84 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 2847 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ q_1\tilde{q}_2$ + $ M_1X_2$ + $ \phi_1^2X_3$ | 0.4572 | 0.5324 | 0.8587 | [X:[1.7143, 1.6534, 1.4286], M:[0.3466, 0.7962, 0.2857, 0.8571, 1.1429], q:[1.2553, 0.3981], qb:[0.459, 0.7447], phi:[0.2857]] | t^2.39 + t^2.57 + t^3.25 + t^3.43 + t^4.29 + t^4.78 + t^4.96 + t^5.14 + t^5.63 + t^5.82 - t^6. - t^3.86/y - t^3.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |