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 |
|---|---|---|---|---|---|---|---|---|---|
| 1775 | 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_5q_1\tilde{q}_1$ | 0.6069 | 0.7772 | 0.7809 | [X:[], M:[1.0, 1.026, 0.9481, 1.026, 0.7104], q:[0.7565, 0.2435], qb:[0.5331, 0.5188], phi:[0.487]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-9, -1]], 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$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1q_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_5\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_3M_4$, $ M_5\phi_1q_2\tilde{q}_1$ | . | -3 | t^2.13 + t^2.29 + t^2.33 + t^2.84 + t^3. + 2*t^3.08 + t^3.75 + t^3.79 + t^3.83 + t^4.26 + t^4.42 + t^4.46 + 2*t^4.57 + 2*t^4.62 + 2*t^4.66 + t^4.98 + t^5.13 + 2*t^5.21 + t^5.29 + t^5.33 + 2*t^5.36 + 2*t^5.41 + t^5.69 + t^5.84 + t^5.88 + 2*t^5.92 - 3*t^6. + t^6.03 - t^6.04 + 3*t^6.08 + t^6.11 + t^6.12 + 3*t^6.16 + t^6.39 + t^6.55 + t^6.59 + 2*t^6.7 - t^6.71 + t^6.75 + t^6.79 + t^6.83 + 2*t^6.86 + 4*t^6.9 + 2*t^6.95 + 2*t^6.99 + t^7.11 + t^7.26 + 2*t^7.34 + t^7.42 - t^7.46 + 2*t^7.5 + 2*t^7.57 + t^7.62 + 4*t^7.65 + t^7.66 + 3*t^7.69 + 3*t^7.74 + t^7.82 + t^7.98 + t^8.01 + 2*t^8.05 - 3*t^8.13 + 2*t^8.21 - 2*t^8.29 + 2*t^8.32 - 5*t^8.33 + 3*t^8.36 - t^8.37 + 2*t^8.4 + 3*t^8.41 + 3*t^8.44 + 2*t^8.45 + 3*t^8.49 + t^8.52 + t^8.53 + t^8.68 + t^8.69 + t^8.72 + t^8.77 - t^8.84 + t^8.88 + t^8.92 + 2*t^8.99 - t^4.46/y - t^6.59/y - t^7.31/y + t^7.38/y + t^7.42/y + t^7.46/y - t^7.54/y + (2*t^7.62)/y + t^7.98/y + (2*t^8.13)/y + t^8.17/y + (2*t^8.21)/y + t^8.29/y + (2*t^8.33)/y + (2*t^8.36)/y + (2*t^8.41)/y - t^8.72/y + t^8.84/y + t^8.88/y + (3*t^8.92)/y + t^8.96/y - t^4.46*y - t^6.59*y - t^7.31*y + t^7.38*y + t^7.42*y + t^7.46*y - t^7.54*y + 2*t^7.62*y + t^7.98*y + 2*t^8.13*y + t^8.17*y + 2*t^8.21*y + t^8.29*y + 2*t^8.33*y + 2*t^8.36*y + 2*t^8.41*y - t^8.72*y + t^8.84*y + t^8.88*y + 3*t^8.92*y + t^8.96*y | t^2.13/(g1^9*g2) + (g2^7*t^2.29)/g1 + (g1^7*t^2.33)/g2 + t^2.84/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.08 + (g2^5*t^3.75)/g1^3 + (g1^5*t^3.79)/g2^3 + g1*g2^9*t^3.83 + t^4.26/(g1^18*g2^2) + (g2^6*t^4.42)/g1^10 + t^4.46/(g1^2*g2^2) + (2*g2^14*t^4.57)/g1^2 + 2*g1^6*g2^6*t^4.62 + (2*g1^14*t^4.66)/g2^2 + t^4.98/(g1^17*g2^9) + t^5.13/(g1^9*g2) + (2*g2^3*t^5.21)/g1^5 + (g2^7*t^5.29)/g1 + (g1^7*t^5.33)/g2 + 2*g1^3*g2^11*t^5.36 + 2*g1^11*g2^3*t^5.41 + t^5.69/(g1^16*g2^16) + t^5.84/(g1^8*g2^8) + (g2^4*t^5.88)/g1^12 + (2*t^5.92)/(g1^4*g2^4) - 3*t^6. + (g2^12*t^6.03)/g1^4 - (g1^8*t^6.04)/g2^8 + 3*g1^4*g2^4*t^6.08 + g2^16*t^6.11 + (g1^12*t^6.12)/g2^4 + 3*g1^8*g2^8*t^6.16 + t^6.39/(g1^27*g2^3) + (g2^5*t^6.55)/g1^19 + t^6.59/(g1^11*g2^3) + (2*g2^13*t^6.7)/g1^11 - (g1*t^6.71)/g2^7 + (g2^5*t^6.75)/g1^3 + (g1^5*t^6.79)/g2^3 + g1*g2^9*t^6.83 + (2*g2^21*t^6.86)/g1^3 + 4*g1^5*g2^13*t^6.9 + 2*g1^13*g2^5*t^6.95 + (2*g1^21*t^6.99)/g2^3 + t^7.11/(g1^26*g2^10) + t^7.26/(g1^18*g2^2) + (2*g2^2*t^7.34)/g1^14 + (g2^6*t^7.42)/g1^10 - t^7.46/(g1^2*g2^2) + (2*g2^10*t^7.5)/g1^6 + (2*g2^14*t^7.57)/g1^2 + g1^6*g2^6*t^7.62 + 4*g1^2*g2^18*t^7.65 + (g1^14*t^7.66)/g2^2 + 3*g1^10*g2^10*t^7.69 + 3*g1^18*g2^2*t^7.74 + t^7.82/(g1^25*g2^17) + t^7.98/(g1^17*g2^9) + (g2^3*t^8.01)/g1^21 + (2*t^8.05)/(g1^13*g2^5) - (3*t^8.13)/(g1^9*g2) - t^8.17/(g1*g2^9) + (g2^11*t^8.17)/g1^13 + (2*g2^3*t^8.21)/g1^5 - (2*g2^7*t^8.29)/g1 + (2*g2^19*t^8.32)/g1^5 - (5*g1^7*t^8.33)/g2 + 3*g1^3*g2^11*t^8.36 - (g1^15*t^8.37)/g2^9 + (2*g2^23*t^8.4)/g1 + 3*g1^11*g2^3*t^8.41 + 3*g1^7*g2^15*t^8.44 + (2*g1^19*t^8.45)/g2^5 + 3*g1^15*g2^7*t^8.49 + t^8.52/(g1^36*g2^4) + t^8.53/(g1^24*g2^24) + (g2^4*t^8.68)/g1^28 + t^8.69/(g1^16*g2^16) + t^8.72/(g1^20*g2^4) + t^8.77/(g1^12*g2^12) - (3*t^8.84)/(g1^8*g2^8) + (2*g2^12*t^8.84)/g1^20 + (g2^4*t^8.88)/g1^12 + t^8.92/(g1^4*g2^4) + (2*g2^20*t^8.99)/g1^12 - t^4.46/(g1^2*g2^2*y) - t^6.59/(g1^11*g2^3*y) - t^7.31/(g1^10*g2^10*y) + t^7.38/(g1^6*g2^6*y) + (g2^6*t^7.42)/(g1^10*y) + t^7.46/(g1^2*g2^2*y) - (g1^2*g2^2*t^7.54)/y + (2*g1^6*g2^6*t^7.62)/y + t^7.98/(g1^17*g2^9*y) + (2*t^8.13)/(g1^9*g2*y) + t^8.17/(g1*g2^9*y) + (2*g2^3*t^8.21)/(g1^5*y) + (g2^7*t^8.29)/(g1*y) + (2*g1^7*t^8.33)/(g2*y) + (2*g1^3*g2^11*t^8.36)/y + (2*g1^11*g2^3*t^8.41)/y - t^8.72/(g1^20*g2^4*y) + t^8.84/(g1^8*g2^8*y) + (g2^4*t^8.88)/(g1^12*y) + (3*t^8.92)/(g1^4*g2^4*y) + (g2^8*t^8.96)/(g1^8*y) - (t^4.46*y)/(g1^2*g2^2) - (t^6.59*y)/(g1^11*g2^3) - (t^7.31*y)/(g1^10*g2^10) + (t^7.38*y)/(g1^6*g2^6) + (g2^6*t^7.42*y)/g1^10 + (t^7.46*y)/(g1^2*g2^2) - g1^2*g2^2*t^7.54*y + 2*g1^6*g2^6*t^7.62*y + (t^7.98*y)/(g1^17*g2^9) + (2*t^8.13*y)/(g1^9*g2) + (t^8.17*y)/(g1*g2^9) + (2*g2^3*t^8.21*y)/g1^5 + (g2^7*t^8.29*y)/g1 + (2*g1^7*t^8.33*y)/g2 + 2*g1^3*g2^11*t^8.36*y + 2*g1^11*g2^3*t^8.41*y - (t^8.72*y)/(g1^20*g2^4) + (t^8.84*y)/(g1^8*g2^8) + (g2^4*t^8.88*y)/g1^12 + (3*t^8.92*y)/(g1^4*g2^4) + (g2^8*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 2776 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0, 1.0213, 0.9574, 1.0213, 0.734], q:[0.7553, 0.2447], qb:[0.5106, 0.5319], phi:[0.4894]] | 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. - t^4.47/y - t^4.47*y | detail | |
| 2777 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.627 | 0.8145 | 0.7698 | [X:[], M:[1.0, 1.0323, 0.9353, 1.0323, 0.7096, 0.7096], q:[0.7581, 0.2419], qb:[0.5323, 0.5323], phi:[0.4838]] | 2*t^2.13 + 2*t^2.32 + t^2.81 + t^3. + 2*t^3.1 + 2*t^3.77 + 3*t^4.26 + 4*t^4.45 + 6*t^4.65 + 2*t^4.93 + 2*t^5.13 + 4*t^5.23 + 2*t^5.32 + 4*t^5.42 + t^5.61 + t^5.81 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*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 |