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 |
|---|---|---|---|---|---|---|---|---|---|
| 523 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_1M_5$, $ M_2M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ M_3M_4$ | $M_5q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. + 3*t^6.06 + 4*t^6.13 + t^6.19 + t^6.61 + 2*t^6.74 + 3*t^6.8 + 5*t^6.86 + 4*t^6.93 + 2*t^6.99 + t^7.28 + t^7.4 + t^7.47 + 2*t^7.53 + 6*t^7.6 + 5*t^7.66 + 4*t^7.72 + t^7.95 + t^8.07 + t^8.14 - 3*t^8.2 - t^8.27 + 2*t^8.33 + 6*t^8.39 + 5*t^8.46 + 2*t^8.52 + t^8.62 + t^8.74 + 2*t^8.81 - 2*t^8.87 + t^8.94 - t^4.47/y - t^6.67/y - t^7.34/y + t^7.4/y + t^7.47/y + (2*t^7.6)/y + t^8.07/y + t^8.14/y + (2*t^8.2)/y + (4*t^8.27)/y + (3*t^8.33)/y + (2*t^8.39)/y + (3*t^8.94)/y - t^4.47*y - t^6.67*y - t^7.34*y + t^7.4*y + t^7.47*y + 2*t^7.6*y + t^8.07*y + t^8.14*y + 2*t^8.2*y + 4*t^8.27*y + 3*t^8.33*y + 2*t^8.39*y + 3*t^8.94*y | (g2^3*t^2.2)/g1^5 + (g2^7*t^2.27)/g1 + (g1^7*t^2.33)/g2 + t^2.87/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.06 + (g2^5*t^3.73)/g1^3 + g1*g2^9*t^3.8 + g1^9*g2*t^3.86 + (g2^6*t^4.4)/g1^10 + (g2^10*t^4.47)/g1^6 + g1^2*g2^2*t^4.53 + (2*g2^14*t^4.53)/g1^2 + 2*g1^6*g2^6*t^4.6 + (2*g1^14*t^4.66)/g2^2 + t^5.07/(g1^13*g2^5) + (g2^3*t^5.2)/g1^5 + (3*g2^7*t^5.27)/g1 + (g1^7*t^5.33)/g2 + 2*g1^3*g2^11*t^5.33 + 2*g1^11*g2^3*t^5.39 + t^5.74/(g1^16*g2^16) + t^5.87/(g1^8*g2^8) + t^5.94/(g1^4*g2^4) - 3*t^6. + (2*g2^12*t^6.)/g1^4 - (g1^8*t^6.06)/g2^8 + 3*g1^4*g2^4*t^6.06 + g2^16*t^6.06 + 4*g1^8*g2^8*t^6.13 + g1^16*t^6.19 + (g2^9*t^6.61)/g1^15 - t^6.67/(g1^3*g2^11) + (g2^13*t^6.67)/g1^11 + (2*g2^17*t^6.74)/g1^7 - (2*g1^5*t^6.8)/g2^3 + 3*g1*g2^9*t^6.8 + (2*g2^21*t^6.8)/g1^3 + g1^9*g2*t^6.86 + 4*g1^5*g2^13*t^6.86 + 4*g1^13*g2^5*t^6.93 + (2*g1^21*t^6.99)/g2^3 + t^7.28/(g1^18*g2^2) + (g2^6*t^7.4)/g1^10 - (2*t^7.47)/(g1^2*g2^2) + (3*g2^10*t^7.47)/g1^6 - 2*g1^2*g2^2*t^7.53 + (4*g2^14*t^7.53)/g1^2 - (g1^10*t^7.6)/g2^6 + 3*g1^6*g2^6*t^7.6 + 4*g1^2*g2^18*t^7.6 + (g1^14*t^7.66)/g2^2 + 4*g1^10*g2^10*t^7.66 + 4*g1^18*g2^2*t^7.72 + t^7.95/(g1^21*g2^13) + t^8.07/(g1^13*g2^5) + t^8.14/(g1^9*g2) - (4*g2^3*t^8.2)/g1^5 + (g2^15*t^8.2)/g1^9 - (2*g1^3*t^8.27)/g2^5 - (2*g2^7*t^8.27)/g1 + (3*g2^19*t^8.27)/g1^5 - (5*g1^7*t^8.33)/g2 + 5*g1^3*g2^11*t^8.33 + (2*g2^23*t^8.33)/g1 - (g1^15*t^8.39)/g2^9 + 2*g1^11*g2^3*t^8.39 + 5*g1^7*g2^15*t^8.39 + 5*g1^15*g2^7*t^8.46 + (2*g1^23*t^8.52)/g2 + t^8.62/(g1^24*g2^24) + t^8.74/(g1^16*g2^16) + t^8.81/(g1^12*g2^12) + (g2^12*t^8.81)/g1^20 - (3*t^8.87)/(g1^8*g2^8) + (g2^16*t^8.87)/g1^16 - (g2^8*t^8.94)/g1^8 + (2*g2^20*t^8.94)/g1^12 - t^4.47/(g1^2*g2^2*y) - (g2*t^6.67)/(g1^7*y) - t^7.34/(g1^10*g2^10*y) + t^7.4/(g1^6*g2^6*y) + (g2^10*t^7.47)/(g1^6*y) + (2*g1^6*g2^6*t^7.6)/y + t^8.07/(g1^13*g2^5*y) + t^8.14/(g1^9*g2*y) + t^8.2/(g1*g2^9*y) + (g2^3*t^8.2)/(g1^5*y) + (g1^3*t^8.27)/(g2^5*y) + (3*g2^7*t^8.27)/(g1*y) + (g1^7*t^8.33)/(g2*y) + (2*g1^3*g2^11*t^8.33)/y + (2*g1^11*g2^3*t^8.39)/y + t^8.87/(g1^8*g2^8*y) - (g2^4*t^8.87)/(g1^12*y) + (2*t^8.94)/(g1^4*g2^4*y) + (g2^8*t^8.94)/(g1^8*y) - (t^4.47*y)/(g1^2*g2^2) - (g2*t^6.67*y)/g1^7 - (t^7.34*y)/(g1^10*g2^10) + (t^7.4*y)/(g1^6*g2^6) + (g2^10*t^7.47*y)/g1^6 + 2*g1^6*g2^6*t^7.6*y + (t^8.07*y)/(g1^13*g2^5) + (t^8.14*y)/(g1^9*g2) + (t^8.2*y)/(g1*g2^9) + (g2^3*t^8.2*y)/g1^5 + (g1^3*t^8.27*y)/g2^5 + (3*g2^7*t^8.27*y)/g1 + (g1^7*t^8.33*y)/g2 + 2*g1^3*g2^11*t^8.33*y + 2*g1^11*g2^3*t^8.39*y + (t^8.87*y)/(g1^8*g2^8) - (g2^4*t^8.87*y)/g1^12 + (2*t^8.94*y)/(g1^4*g2^4) + (g2^8*t^8.94*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 818 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6252 | 0.8098 | 0.7721 | [X:[], M:[1.0, 1.0237, 0.9525, 1.0237, 0.7441, 0.7441], q:[0.7559, 0.2441], qb:[0.5237, 0.5237], phi:[0.4881]] | 2*t^2.23 + 2*t^2.3 + t^2.86 + t^3. + 2*t^3.07 + 2*t^3.84 + 3*t^4.46 + 4*t^4.54 + 6*t^4.61 + 2*t^5.09 + 2*t^5.23 + 6*t^5.3 + 4*t^5.37 + t^5.72 + t^5.86 + t^5.93 - 5*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1878 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6266 | 0.8144 | 0.7694 | [X:[], M:[1.0, 1.0266, 0.9468, 1.0266, 0.7278, 0.7012], q:[0.7567, 0.2433], qb:[0.5421, 0.5111], phi:[0.4867]] | t^2.1 + t^2.18 + t^2.26 + t^2.36 + t^2.84 + t^3. + 2*t^3.08 + t^3.72 + t^3.8 + t^4.21 + t^4.29 + 2*t^4.37 + t^4.45 + t^4.46 + 2*t^4.53 + t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.1 + 3*t^5.18 + 3*t^5.26 + 2*t^5.34 + t^5.36 + 2*t^5.44 + t^5.68 + t^5.83 + t^5.84 + t^5.91 + t^5.92 + 2*t^5.99 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1877 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6261 | 0.8118 | 0.7713 | [X:[], M:[1.0, 1.029, 0.942, 1.029, 0.7395, 0.717], q:[0.7572, 0.2428], qb:[0.5322, 0.5257], phi:[0.4855]] | t^2.15 + t^2.22 + t^2.31 + t^2.32 + t^2.83 + t^3. + 2*t^3.09 + t^3.76 + t^3.87 + t^4.3 + t^4.37 + t^4.44 + t^4.46 + t^4.48 + t^4.52 + t^4.54 + 2*t^4.61 + 2*t^4.63 + 2*t^4.65 + t^4.98 + t^5.04 + t^5.15 + t^5.22 + 2*t^5.24 + 3*t^5.31 + t^5.32 + 2*t^5.39 + 2*t^5.41 + t^5.65 + t^5.83 + 2*t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 333 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ | 0.5867 | 0.74 | 0.7929 | [X:[], M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | 2*t^2.29 + t^2.88 + t^3. + 2*t^3.06 + 2*t^3.76 + 2*t^3.82 + 6*t^4.59 + 2*t^5.29 + 4*t^5.35 + t^5.77 + t^5.88 + t^5.94 - 5*t^6. - t^4.47/y - t^4.47*y | detail |