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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ | 0.6793 | 0.8474 | 0.8016 | [X:[], M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_5$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$ | . | -2 | t^2.28 + t^2.36 + t^2.49 + t^2.7 + t^3.04 + t^3.09 + t^3.51 + t^3.85 + t^3.98 + t^4.1 + t^4.31 + t^4.44 + t^4.57 + t^4.65 + t^4.73 + t^4.78 + t^4.86 + t^4.9 + 2*t^4.99 + t^5.07 + t^5.2 + t^5.33 + t^5.37 + t^5.41 + t^5.45 + t^5.58 + t^5.75 + 2*t^5.79 - 2*t^6. + t^6.09 + t^6.13 + t^6.17 + t^6.21 + t^6.26 + t^6.34 + t^6.38 + t^6.47 + t^6.55 + t^6.59 + t^6.67 + t^6.68 + t^6.72 - t^6.76 + t^6.8 + t^6.85 + 2*t^6.93 + t^7.01 + t^7.02 + 2*t^7.06 + t^7.09 + t^7.14 + 2*t^7.18 + t^7.26 + t^7.27 + t^7.35 + t^7.39 + t^7.43 + 2*t^7.48 + t^7.52 + t^7.56 + t^7.6 + t^7.61 + t^7.65 + 2*t^7.69 + t^7.77 + t^7.82 + t^7.86 + t^7.94 + t^7.95 + t^7.98 + t^8.03 + 3*t^8.07 + t^8.11 - t^8.28 - 3*t^8.36 + t^8.37 + 3*t^8.41 + 3*t^8.45 - t^8.49 + 2*t^8.54 + 2*t^8.67 - 2*t^8.7 + t^8.75 + t^8.79 + 2*t^8.83 + 3*t^8.88 + t^8.96 - t^4.35/y - t^6.64/y - t^6.72/y - t^7.06/y + t^7.31/y - t^7.4/y + (2*t^7.65)/y + t^7.78/y + t^7.86/y + (2*t^7.99)/y + (2*t^8.07)/y + t^8.2/y + t^8.33/y + t^8.37/y + t^8.41/y + t^8.45/y + t^8.54/y + t^8.58/y + t^8.75/y + (2*t^8.79)/y + t^8.87/y - t^8.92/y - t^4.35*y - t^6.64*y - t^6.72*y - t^7.06*y + t^7.31*y - t^7.4*y + 2*t^7.65*y + t^7.78*y + t^7.86*y + 2*t^7.99*y + 2*t^8.07*y + t^8.2*y + t^8.33*y + t^8.37*y + t^8.41*y + t^8.45*y + t^8.54*y + t^8.58*y + t^8.75*y + 2*t^8.79*y + t^8.87*y - t^8.92*y | (g2^18*t^2.28)/g1^2 + (g1^2*t^2.36)/g2^16 + (g2^7*t^2.49)/g1 + t^2.7/g2^4 + (g2^8*t^3.04)/g1^2 + (g2^15*t^3.09)/g1 + (g1*t^3.51)/g2^7 + (g2^5*t^3.85)/g1 + (g2^28*t^3.98)/g1^4 + g1*g2*t^4.1 + (g1^2*t^4.31)/g2^10 + (g2^13*t^4.44)/g1 + (g2^36*t^4.57)/g1^4 + g2^2*t^4.65 + (g1^4*t^4.73)/g2^32 + (g2^25*t^4.78)/g1^3 + (g1*t^4.86)/g2^9 + (g1^2*t^4.9)/g2^2 + (2*g2^14*t^4.99)/g1^2 + (g1^2*t^5.07)/g2^20 + (g2^3*t^5.2)/g1 + (g2^26*t^5.33)/g1^4 + (g2^33*t^5.37)/g1^3 + t^5.41/g2^8 + (g1*t^5.45)/g2 + (g2^22*t^5.58)/g1^2 + (g2^4*t^5.75)/g1^2 + (2*g2^11*t^5.79)/g1 - 2*t^6. + (g2^16*t^6.09)/g1^4 + (g2^23*t^6.13)/g1^3 + (g2^30*t^6.17)/g1^2 + (g1*t^6.21)/g2^11 + (g2^46*t^6.26)/g1^6 + (g2^12*t^6.34)/g1^2 + (g2^19*t^6.38)/g1 + (g2^35*t^6.47)/g1^5 + (g2*t^6.55)/g1 + g2^8*t^6.59 + (g1^4*t^6.67)/g2^26 + (g2^24*t^6.68)/g1^4 + (g2^31*t^6.72)/g1^3 - t^6.76/g2^10 + (g1*t^6.8)/g2^3 + (g2^54*t^6.85)/g1^6 + (2*g2^20*t^6.93)/g1^2 + (g1^2*t^7.01)/g2^14 + (g2^36*t^7.02)/g1^6 + (2*g2^43*t^7.06)/g1^5 + (g1^6*t^7.09)/g2^48 + (g2^9*t^7.14)/g1 + 2*g2^16*t^7.18 + (g1^4*t^7.26)/g2^18 + (g2^32*t^7.27)/g1^4 + t^7.35/g2^2 + g1*g2^5*t^7.39 + (g1^4*t^7.43)/g2^36 + (2*g2^21*t^7.48)/g1^3 + (g2^28*t^7.52)/g1^2 + (g1*t^7.56)/g2^13 + (g1^2*t^7.6)/g2^6 + (g2^44*t^7.61)/g1^6 + (g2^51*t^7.65)/g1^5 + (2*g2^10*t^7.69)/g1^2 + (g1^2*t^7.77)/g2^24 + (g2^33*t^7.82)/g1^5 + (g2^40*t^7.86)/g1^4 + g2^6*t^7.94 + (g2^56*t^7.95)/g1^8 + g1*g2^13*t^7.98 + (g2^22*t^8.03)/g1^4 + (3*g2^29*t^8.07)/g1^3 + t^8.11/g2^12 - (g2^18*t^8.28)/g1^2 - (3*g1^2*t^8.36)/g2^16 + (g2^34*t^8.37)/g1^6 + (g1^3*t^8.41)/g2^9 + (2*g2^41*t^8.41)/g1^5 + (2*t^8.45)/g1^2 + (g2^48*t^8.45)/g1^4 - (g2^7*t^8.49)/g1 + g2^14*t^8.54 + (g2^64*t^8.54)/g1^8 + (2*g2^37*t^8.67)/g1^3 - (2*t^8.7)/g2^4 + (g2^53*t^8.75)/g1^7 + (g2^12*t^8.79)/g1^4 + (2*g2^19*t^8.83)/g1^3 + (3*g2^26*t^8.88)/g1^2 - (g1^2*t^8.96)/g2^8 + (2*g2^42*t^8.96)/g1^6 - t^4.35/(g2^2*y) - (g2^16*t^6.64)/(g1^2*y) - (g1^2*t^6.72)/(g2^18*y) - t^7.06/(g2^6*y) + (g1^2*t^7.31)/(g2^10*y) - (g2^6*t^7.4)/(g1^2*y) + (2*g2^2*t^7.65)/y + (g2^25*t^7.78)/(g1^3*y) + (g1*t^7.86)/(g2^9*y) + (2*g2^14*t^7.99)/(g1^2*y) + (2*g1^2*t^8.07)/(g2^20*y) + (g2^3*t^8.2)/(g1*y) + (g2^26*t^8.33)/(g1^4*y) + (g2^33*t^8.37)/(g1^3*y) + t^8.41/(g2^8*y) + (g1*t^8.45)/(g2*y) + (g2^15*t^8.54)/(g1^3*y) + (g2^22*t^8.58)/(g1^2*y) + (g2^4*t^8.75)/(g1^2*y) + (2*g2^11*t^8.79)/(g1*y) + (g1^3*t^8.87)/(g2^23*y) - (g2^34*t^8.92)/(g1^4*y) - (t^4.35*y)/g2^2 - (g2^16*t^6.64*y)/g1^2 - (g1^2*t^6.72*y)/g2^18 - (t^7.06*y)/g2^6 + (g1^2*t^7.31*y)/g2^10 - (g2^6*t^7.4*y)/g1^2 + 2*g2^2*t^7.65*y + (g2^25*t^7.78*y)/g1^3 + (g1*t^7.86*y)/g2^9 + (2*g2^14*t^7.99*y)/g1^2 + (2*g1^2*t^8.07*y)/g2^20 + (g2^3*t^8.2*y)/g1 + (g2^26*t^8.33*y)/g1^4 + (g2^33*t^8.37*y)/g1^3 + (t^8.41*y)/g2^8 + (g1*t^8.45*y)/g2 + (g2^15*t^8.54*y)/g1^3 + (g2^22*t^8.58*y)/g1^2 + (g2^4*t^8.75*y)/g1^2 + (2*g2^11*t^8.79*y)/g1 + (g1^3*t^8.87*y)/g2^23 - (g2^34*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48173 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ | 0.6593 | 0.8223 | 0.8018 | [X:[], M:[1.1149, 1.1485, 0.8851, 0.6891, 0.8515], q:[0.3446, 0.5406], qb:[0.5069, 0.7703], phi:[0.4594]] | t^2.07 + t^2.55 + t^2.66 + t^2.76 + t^3.14 + t^3.34 + t^3.45 + t^3.83 + t^3.93 + t^4.03 + t^4.13 + t^4.42 + t^4.52 + 2*t^4.62 + t^4.72 + t^4.82 + t^5.11 + 2*t^5.21 + 2*t^5.31 + t^5.41 + t^5.51 + t^5.7 + t^5.8 + 2*t^5.9 - t^4.38/y - t^4.38*y | detail | |
| 48238 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6768 | 0.8462 | 0.7998 | [X:[], M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] | t^2.26 + t^2.35 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + 2*t^3.91 + t^4.09 + t^4.17 + t^4.35 + t^4.52 + 2*t^4.61 + t^4.7 + t^4.78 + t^4.87 + 2*t^5.04 + t^5.13 + t^5.22 + 2*t^5.3 + 2*t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 48277 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_5^2$ + $ M_4X_1$ | 0.601 | 0.726 | 0.8278 | [X:[1.4067], M:[1.0933, 1.0336, 0.9067, 0.5933, 1.0], q:[0.2966, 0.6101], qb:[0.6697, 0.7966], phi:[0.4067]] | t^2.44 + t^2.72 + t^3. + t^3.1 + t^3.28 + t^3.84 + t^3.94 + t^4.12 + t^4.22 + t^4.4 + t^4.88 + t^5.16 + t^5.24 + 2*t^5.44 + t^5.54 + t^5.72 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 48213 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6995 | 0.8854 | 0.79 | [X:[], M:[1.1668, 1.022, 0.8332, 0.7855, 0.7627, 0.7149], q:[0.3927, 0.4405], qb:[0.5853, 0.7741], phi:[0.4519]] | t^2.14 + t^2.29 + t^2.36 + t^2.5 + t^2.71 + t^3.07 + t^3.08 + t^3.5 + t^4. + t^4.08 + 2*t^4.29 + 2*t^4.43 + t^4.5 + t^4.58 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.87 + 2*t^5. + t^5.07 + 2*t^5.21 + t^5.22 + t^5.35 + t^5.37 + t^5.42 + t^5.43 + t^5.58 + t^5.65 + t^5.78 + 2*t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 48167 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.7001 | 0.8886 | 0.7878 | [X:[], M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.01 + t^2.29 + t^2.36 + t^2.5 + t^2.7 + t^3.05 + t^3.09 + t^3.5 + t^3.85 + t^4.03 + t^4.09 + 2*t^4.3 + t^4.37 + t^4.44 + t^4.51 + t^4.58 + t^4.65 + 2*t^4.72 + t^4.78 + t^4.86 + t^4.89 + 2*t^4.99 + 2*t^5.06 + t^5.1 + t^5.2 + t^5.34 + t^5.38 + t^5.41 + t^5.45 + t^5.52 + t^5.58 + t^5.75 + 2*t^5.79 + t^5.86 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 46799 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6851 | 0.8556 | 0.8007 | [X:[], M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.28 + t^2.41 + t^2.51 + t^2.61 + t^2.71 + t^2.94 + t^3.49 + t^3.82 + t^4.04 + t^4.27 + t^4.37 + t^4.57 + t^4.6 + t^4.69 + t^4.79 + t^4.82 + t^4.89 + t^4.92 + t^4.99 + 2*t^5.02 + 2*t^5.12 + t^5.15 + 2*t^5.22 + t^5.32 + t^5.35 + t^5.42 + t^5.55 + t^5.65 + t^5.87 + t^5.9 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46292 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.6613 | 0.8142 | 0.8122 | [X:[], M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.3 + t^2.52 + t^2.68 + t^3.05 + t^3.17 + t^3.48 + t^3.64 + t^3.86 + t^4.07 + t^4.13 + t^4.29 + t^4.5 + t^4.61 + t^4.82 + t^4.94 + t^4.98 + t^5.03 + t^5.19 + t^5.35 + t^5.47 + t^5.68 + t^5.72 + t^5.84 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*y | detail |