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 |
---|---|---|---|---|---|---|---|---|---|
47289 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_2^2$ | 0.702 | 0.8612 | 0.8151 | [X:[], M:[0.874, 1.0, 1.063, 0.937, 1.0], q:[0.5315, 0.5945], qb:[0.4685, 0.4685], phi:[0.4843]] | [X:[], M:[[8], [0], [-4], [4], [0]], q:[[-2], [-6]], qb:[[2], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_4M_5$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_5\phi_1^2$ | $M_2M_5$, $ M_4q_2\tilde{q}_1$ | -1 | t^2.62 + t^2.81 + t^2.91 + 2*t^3. + 2*t^3.19 + 3*t^4.26 + 2*t^4.45 + 3*t^4.64 + t^4.83 + t^5.02 + t^5.24 + t^5.43 + t^5.53 + t^5.62 + t^5.72 + 2*t^5.81 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.38 + 3*t^6.89 + 3*t^7.07 + 3*t^7.17 + 6*t^7.26 - t^7.36 + 6*t^7.45 + t^7.55 + 4*t^7.64 - 2*t^7.74 + 4*t^7.83 + t^7.87 + 2*t^8.02 + t^8.06 - t^8.11 + t^8.15 + 2*t^8.21 + t^8.24 + t^8.34 + 2*t^8.43 + 6*t^8.53 - 3*t^8.62 + 6*t^8.72 - 5*t^8.81 + 6*t^8.91 - t^4.45/y - t^7.07/y - t^7.36/y + t^7.55/y + t^7.83/y + t^8.43/y + t^8.53/y + (2*t^8.62)/y + t^8.72/y + (4*t^8.81)/y + (2*t^8.91)/y - t^4.45*y - t^7.07*y - t^7.36*y + t^7.55*y + t^7.83*y + t^8.43*y + t^8.53*y + 2*t^8.62*y + t^8.72*y + 4*t^8.81*y + 2*t^8.91*y | g1^8*t^2.62 + g1^4*t^2.81 + g1^2*t^2.91 + 2*t^3. + (2*t^3.19)/g1^4 + 3*g1^5*t^4.26 + 2*g1*t^4.45 + (3*t^4.64)/g1^3 + t^4.83/g1^7 + t^5.02/g1^11 + g1^16*t^5.24 + g1^12*t^5.43 + g1^10*t^5.53 + g1^8*t^5.62 + g1^6*t^5.72 + 2*g1^4*t^5.81 + 2*g1^2*t^5.91 - t^6. + (2*t^6.09)/g1^2 + t^6.38/g1^8 + 3*g1^13*t^6.89 + 3*g1^9*t^7.07 + 3*g1^7*t^7.17 + 6*g1^5*t^7.26 - g1^3*t^7.36 + 6*g1*t^7.45 + t^7.55/g1 + (4*t^7.64)/g1^3 - (2*t^7.74)/g1^5 + (4*t^7.83)/g1^7 + g1^24*t^7.87 + (2*t^8.02)/g1^11 + g1^20*t^8.06 - t^8.11/g1^13 + g1^18*t^8.15 + (2*t^8.21)/g1^15 + g1^16*t^8.24 + g1^14*t^8.34 + 2*g1^12*t^8.43 + 6*g1^10*t^8.53 - 3*g1^8*t^8.62 + 6*g1^6*t^8.72 - 5*g1^4*t^8.81 + 6*g1^2*t^8.91 - (g1*t^4.45)/y - (g1^9*t^7.07)/y - (g1^3*t^7.36)/y + t^7.55/(g1*y) + t^7.83/(g1^7*y) + (g1^12*t^8.43)/y + (g1^10*t^8.53)/y + (2*g1^8*t^8.62)/y + (g1^6*t^8.72)/y + (4*g1^4*t^8.81)/y + (2*g1^2*t^8.91)/y - g1*t^4.45*y - g1^9*t^7.07*y - g1^3*t^7.36*y + (t^7.55*y)/g1 + (t^7.83*y)/g1^7 + g1^12*t^8.43*y + g1^10*t^8.53*y + 2*g1^8*t^8.62*y + g1^6*t^8.72*y + 4*g1^4*t^8.81*y + 2*g1^2*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 |
---|---|---|---|---|---|---|---|---|
55628 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_2^2$ + $ M_4M_6$ | 0.6969 | 0.8525 | 0.8175 | [X:[], M:[0.9083, 1.0, 1.0458, 0.9542, 1.0, 1.0458], q:[0.5229, 0.5687], qb:[0.4771, 0.4771], phi:[0.4885]] | t^2.73 + t^2.93 + 2*t^3. + 3*t^3.14 + 3*t^4.33 + 2*t^4.47 + 3*t^4.6 + t^4.74 + t^4.88 + t^5.45 + t^5.66 + t^5.86 + 2*t^5.93 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail |