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 |
|---|---|---|---|---|---|---|---|---|---|
| 3490 | 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$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ + $ M_4M_8$ | 0.6521 | 0.8149 | 0.8003 | [X:[1.6135], M:[0.7821, 1.2269, 0.764, 1.1596, 0.3865, 0.8404, 0.7148, 0.8404], q:[0.4493, 0.7685], qb:[0.3911, 0.8449], phi:[0.3865]] | [X:[[0, 1]], M:[[2, -8], [0, 2], [-2, 4], [0, -3], [0, -1], [0, 3], [2, -13], [0, 3]], q:[[-1, 7], [-1, 1]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ M_1$, $ M_6$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_3M_7$, $ M_1M_7$, $ M_3^2$, $ M_1M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ M_7M_8$, $ M_1^2$, $ M_3M_6$, $ M_3M_8$, $ \phi_1q_1q_2$, $ X_1$, $ M_1M_6$, $ M_1M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_7$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_3$ | . | -3 | t^2.14 + t^2.29 + t^2.35 + 2*t^2.52 + t^3.51 + 2*t^3.68 + t^3.88 + t^4.29 + t^4.44 + t^4.49 + t^4.58 + t^4.64 + 2*t^4.67 + t^4.69 + 2*t^4.81 + t^4.84 + 2*t^4.87 + 3*t^5.04 + t^5.65 + t^5.83 + t^5.85 + t^5.97 - 3*t^6. + 4*t^6.03 + 3*t^6.2 + t^6.23 + 2*t^6.4 + t^6.43 + t^6.58 + t^6.64 + t^6.73 + t^6.78 + 2*t^6.81 + t^6.84 + t^6.88 + t^6.93 + t^6.96 + t^6.98 + 3*t^7.01 + t^7.04 + 2*t^7.11 - t^7.16 + 4*t^7.19 + 2*t^7.21 + t^7.33 + t^7.36 + 3*t^7.39 - t^7.54 + 5*t^7.56 + t^7.77 + t^7.79 + t^7.97 + t^8. - 3*t^8.14 + 3*t^8.17 + t^8.2 + t^8.26 - 3*t^8.29 - 2*t^8.35 + 4*t^8.37 - 6*t^8.52 + 5*t^8.55 + 2*t^8.58 - t^8.7 + 4*t^8.72 + t^8.73 + 2*t^8.75 + t^8.78 + t^8.87 + 4*t^8.93 + 2*t^8.95 + t^8.98 - t^4.16/y - t^6.3/y - t^6.45/y - t^6.51/y - t^6.68/y + t^7.44/y + t^7.49/y + (2*t^7.64)/y + (2*t^7.67)/y + (3*t^7.81)/y + (3*t^7.87)/y + t^8.02/y + t^8.04/y - t^8.45/y - t^8.6/y - t^8.74/y + t^8.83/y + t^8.97/y - t^4.16*y - t^6.3*y - t^6.45*y - t^6.51*y - t^6.68*y + t^7.44*y + t^7.49*y + 2*t^7.64*y + 2*t^7.67*y + 3*t^7.81*y + 3*t^7.87*y + t^8.02*y + t^8.04*y - t^8.45*y - t^8.6*y - t^8.74*y + t^8.83*y + t^8.97*y | (g1^2*t^2.14)/g2^13 + (g2^4*t^2.29)/g1^2 + (g1^2*t^2.35)/g2^8 + 2*g2^3*t^2.52 + (g1^2*t^3.51)/g2^9 + 2*g2^2*t^3.68 + g2^7*t^3.88 + (g1^4*t^4.29)/g2^26 + t^4.44/g2^9 + (g1^4*t^4.49)/g2^21 + (g2^8*t^4.58)/g1^4 + t^4.64/g2^4 + (2*g1^2*t^4.67)/g2^10 + (g1^4*t^4.69)/g2^16 + (2*g2^7*t^4.81)/g1^2 + g2*t^4.84 + (2*g1^2*t^4.87)/g2^5 + 3*g2^6*t^5.04 + (g1^4*t^5.65)/g2^22 + (g1^2*t^5.83)/g2^11 + (g1^4*t^5.85)/g2^17 + (g2^6*t^5.97)/g1^2 - 3*t^6. + (4*g1^2*t^6.03)/g2^6 + 3*g2^5*t^6.2 + (g1^2*t^6.23)/g2 + 2*g2^10*t^6.4 + (g1^6*t^6.43)/g2^39 + (g1^2*t^6.58)/g2^22 + (g1^6*t^6.64)/g2^34 + t^6.73/(g1^2*g2^5) + (g1^2*t^6.78)/g2^17 + (2*g1^4*t^6.81)/g2^23 + (g1^6*t^6.84)/g2^29 + (g2^12*t^6.88)/g1^6 + t^6.93/g1^2 + t^6.96/g2^6 + (g1^2*t^6.98)/g2^12 + (3*g1^4*t^7.01)/g2^18 + (g1^6*t^7.04)/g2^24 + (2*g2^11*t^7.11)/g1^4 - t^7.16/g2 + (4*g1^2*t^7.19)/g2^7 + (2*g1^4*t^7.21)/g2^13 + (g2^10*t^7.33)/g1^2 + g2^4*t^7.36 + (3*g1^2*t^7.39)/g2^2 - (g2^15*t^7.54)/g1^2 + 5*g2^9*t^7.56 + g2^14*t^7.77 + (g1^6*t^7.79)/g2^35 + (g1^4*t^7.97)/g2^24 + (g1^6*t^8.)/g2^30 - (3*g1^2*t^8.14)/g2^13 + (3*g1^4*t^8.17)/g2^19 + (g1^6*t^8.2)/g2^25 + (g2^10*t^8.26)/g1^4 - (3*g2^4*t^8.29)/g1^2 - (2*g1^2*t^8.35)/g2^8 + (4*g1^4*t^8.37)/g2^14 - 6*g2^3*t^8.52 + (5*g1^2*t^8.55)/g2^3 + (g1^8*t^8.58)/g2^52 + (g1^4*t^8.58)/g2^9 - (g2^14*t^8.7)/g1^2 + 4*g2^8*t^8.72 + (g1^4*t^8.73)/g2^35 + 2*g1^2*g2^2*t^8.75 + (g1^8*t^8.78)/g2^47 + t^8.87/g2^18 + (g1^4*t^8.93)/g2^30 + 3*g2^13*t^8.93 + (2*g1^6*t^8.95)/g2^36 + (g1^8*t^8.98)/g2^42 - t^4.16/(g2*y) - (g1^2*t^6.3)/(g2^14*y) - (g2^3*t^6.45)/(g1^2*y) - (g1^2*t^6.51)/(g2^9*y) - (g2^2*t^6.68)/y + t^7.44/(g2^9*y) + (g1^4*t^7.49)/(g2^21*y) + (2*t^7.64)/(g2^4*y) + (2*g1^2*t^7.67)/(g2^10*y) + (3*g2^7*t^7.81)/(g1^2*y) + (3*g1^2*t^7.87)/(g2^5*y) + (g2^12*t^8.02)/(g1^2*y) + (g2^6*t^8.04)/y - (g1^4*t^8.45)/(g2^27*y) - t^8.6/(g2^10*y) - (g2^7*t^8.74)/(g1^4*y) + (g1^2*t^8.83)/(g2^11*y) + (g2^6*t^8.97)/(g1^2*y) - (t^4.16*y)/g2 - (g1^2*t^6.3*y)/g2^14 - (g2^3*t^6.45*y)/g1^2 - (g1^2*t^6.51*y)/g2^9 - g2^2*t^6.68*y + (t^7.44*y)/g2^9 + (g1^4*t^7.49*y)/g2^21 + (2*t^7.64*y)/g2^4 + (2*g1^2*t^7.67*y)/g2^10 + (3*g2^7*t^7.81*y)/g1^2 + (3*g1^2*t^7.87*y)/g2^5 + (g2^12*t^8.02*y)/g1^2 + g2^6*t^8.04*y - (g1^4*t^8.45*y)/g2^27 - (t^8.6*y)/g2^10 - (g2^7*t^8.74*y)/g1^4 + (g1^2*t^8.83*y)/g2^11 + (g2^6*t^8.97*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5139 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ + $ M_4M_8$ + $ M_3^2$ + $ M_1X_2$ | 0.5971 | 0.7479 | 0.7984 | [X:[1.5882, 1.3528], M:[0.6472, 1.1764, 1.0, 1.2354, 0.4118, 0.7646, 0.7062, 0.7646], q:[0.441, 0.9118], qb:[0.3236, 0.6764], phi:[0.4118]] | t^2.12 + 2*t^2.29 + t^3. + t^3.18 + t^3.35 + 2*t^3.53 + t^4.06 + t^4.24 + 2*t^4.41 + 3*t^4.59 + t^4.76 + t^5.12 + 2*t^5.29 + t^5.3 + 2*t^5.47 + 3*t^5.65 + 3*t^5.82 - 2*t^6. - t^4.24/y - t^4.24*y | detail | |
| 5156 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ + $ M_4M_8$ + $ M_7^2$ | 0.6035 | 0.7595 | 0.7946 | [X:[1.584], M:[0.92, 1.168, 0.7441, 1.248, 0.416, 0.752, 1.0, 0.752], q:[0.292, 0.788], qb:[0.46, 0.796], phi:[0.416]] | t^2.23 + 2*t^2.26 + t^2.76 + t^3. + t^3.26 + 2*t^3.5 + t^4.01 + t^4.46 + 2*t^4.49 + 3*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + 2*t^5.26 + 3*t^5.52 + t^5.74 + 4*t^5.76 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2902 | 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$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |