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 |
|---|---|---|---|---|---|---|---|---|---|
| 46643 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6465 | 0.8511 | 0.7596 | [X:[], M:[0.7263, 0.6947, 1.0, 0.7263], q:[0.7579, 0.5158], qb:[0.5474, 0.2421], phi:[0.4842]] | [X:[], M:[[3], [7], [0], [3]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_2M_4$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ M_2\phi_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -2 | t^2.08 + 2*t^2.18 + t^2.27 + t^2.37 + 2*t^2.91 + t^3. + t^3.19 + t^3.73 + t^4.17 + 2*t^4.26 + 4*t^4.36 + 3*t^4.45 + 4*t^4.55 + 2*t^4.64 + 2*t^4.74 + 2*t^4.99 + 4*t^5.08 + 3*t^5.18 + 4*t^5.27 + 3*t^5.37 + t^5.46 + t^5.56 + 4*t^5.81 + 2*t^5.91 - 2*t^6. + t^6.09 + t^6.25 + 2*t^6.35 + t^6.38 + 4*t^6.44 + 6*t^6.54 + 7*t^6.63 + 7*t^6.73 + 4*t^6.82 + 5*t^6.92 + 2*t^7.01 + 2*t^7.07 + 2*t^7.11 + 4*t^7.17 + 7*t^7.26 + 7*t^7.36 + 9*t^7.45 + 6*t^7.55 + 5*t^7.64 + 4*t^7.74 + t^7.83 + 4*t^7.89 + 2*t^7.93 + 6*t^7.99 + t^8.08 - t^8.18 - t^8.27 + t^8.34 - 5*t^8.37 + 2*t^8.43 + 4*t^8.53 + t^8.56 + 6*t^8.62 + t^8.65 + 15*t^8.72 + t^8.75 + 10*t^8.81 + 4*t^8.91 - t^4.45/y - t^6.54/y - (2*t^6.63)/y + (2*t^7.26)/y + t^7.36/y + (3*t^7.45)/y + (3*t^7.55)/y + t^7.64/y + (2*t^7.99)/y + (5*t^8.08)/y + (4*t^8.18)/y + (6*t^8.27)/y + (4*t^8.37)/y + t^8.46/y + t^8.56/y - t^8.62/y - (2*t^8.72)/y - t^8.81/y + (4*t^8.91)/y - t^4.45*y - t^6.54*y - 2*t^6.63*y + 2*t^7.26*y + t^7.36*y + 3*t^7.45*y + 3*t^7.55*y + t^7.64*y + 2*t^7.99*y + 5*t^8.08*y + 4*t^8.18*y + 6*t^8.27*y + 4*t^8.37*y + t^8.46*y + t^8.56*y - t^8.62*y - 2*t^8.72*y - t^8.81*y + 4*t^8.91*y | g1^7*t^2.08 + 2*g1^3*t^2.18 + t^2.27/g1 + t^2.37/g1^5 + 2*g1^4*t^2.91 + t^3. + t^3.19/g1^8 + g1*t^3.73 + g1^14*t^4.17 + 2*g1^10*t^4.26 + 4*g1^6*t^4.36 + 3*g1^2*t^4.45 + (4*t^4.55)/g1^2 + (2*t^4.64)/g1^6 + (2*t^4.74)/g1^10 + 2*g1^11*t^4.99 + 4*g1^7*t^5.08 + 3*g1^3*t^5.18 + (4*t^5.27)/g1 + (3*t^5.37)/g1^5 + t^5.46/g1^9 + t^5.56/g1^13 + 4*g1^8*t^5.81 + 2*g1^4*t^5.91 - 2*t^6. + t^6.09/g1^4 + g1^21*t^6.25 + 2*g1^17*t^6.35 + t^6.38/g1^16 + 4*g1^13*t^6.44 + 6*g1^9*t^6.54 + 7*g1^5*t^6.63 + 7*g1*t^6.73 + (4*t^6.82)/g1^3 + (5*t^6.92)/g1^7 + (2*t^7.01)/g1^11 + 2*g1^18*t^7.07 + (2*t^7.11)/g1^15 + 4*g1^14*t^7.17 + 7*g1^10*t^7.26 + 7*g1^6*t^7.36 + 9*g1^2*t^7.45 + (6*t^7.55)/g1^2 + (5*t^7.64)/g1^6 + (4*t^7.74)/g1^10 + t^7.83/g1^14 + 4*g1^15*t^7.89 + (2*t^7.93)/g1^18 + 6*g1^11*t^7.99 + g1^7*t^8.08 - g1^3*t^8.18 - t^8.27/g1 + g1^28*t^8.34 - (5*t^8.37)/g1^5 + 2*g1^24*t^8.43 + 4*g1^20*t^8.53 + t^8.56/g1^13 + 6*g1^16*t^8.62 + t^8.65/g1^17 + 15*g1^12*t^8.72 + t^8.75/g1^21 + 10*g1^8*t^8.81 + 4*g1^4*t^8.91 - (g1^2*t^4.45)/y - (g1^9*t^6.54)/y - (2*g1^5*t^6.63)/y + (2*g1^10*t^7.26)/y + (g1^6*t^7.36)/y + (3*g1^2*t^7.45)/y + (3*t^7.55)/(g1^2*y) + t^7.64/(g1^6*y) + (2*g1^11*t^7.99)/y + (5*g1^7*t^8.08)/y + (4*g1^3*t^8.18)/y + (6*t^8.27)/(g1*y) + (4*t^8.37)/(g1^5*y) + t^8.46/(g1^9*y) + t^8.56/(g1^13*y) - (g1^16*t^8.62)/y - (2*g1^12*t^8.72)/y - (g1^8*t^8.81)/y + (4*g1^4*t^8.91)/y - g1^2*t^4.45*y - g1^9*t^6.54*y - 2*g1^5*t^6.63*y + 2*g1^10*t^7.26*y + g1^6*t^7.36*y + 3*g1^2*t^7.45*y + (3*t^7.55*y)/g1^2 + (t^7.64*y)/g1^6 + 2*g1^11*t^7.99*y + 5*g1^7*t^8.08*y + 4*g1^3*t^8.18*y + (6*t^8.27*y)/g1 + (4*t^8.37*y)/g1^5 + (t^8.46*y)/g1^9 + (t^8.56*y)/g1^13 - g1^16*t^8.62*y - 2*g1^12*t^8.72*y - g1^8*t^8.81*y + 4*g1^4*t^8.91*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 47237 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[0.7366, 0.7187, 1.0, 0.7366, 1.0179], q:[0.7545, 0.5089], qb:[0.5268, 0.2455], phi:[0.4911]] | t^2.16 + 2*t^2.21 + t^2.26 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + 2*t^4.37 + 4*t^4.42 + 3*t^4.47 + 4*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + 2*t^5.16 + 3*t^5.21 + 5*t^5.26 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46277 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.1 + t^2.19 + t^2.27 + t^2.36 + 2*t^2.92 + t^3. + t^3.17 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.37 + 2*t^4.46 + 3*t^4.54 + 2*t^4.63 + 2*t^4.71 + 2*t^5.02 + 2*t^5.1 + 2*t^5.19 + 4*t^5.27 + 2*t^5.36 + t^5.44 + t^5.52 + 4*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |