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 |
|---|---|---|---|---|---|---|---|---|---|
| 44958 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1^2$ | 1.7745 | 1.8672 | 0.9504 | [X:[], M:[1.2906], q:[0.5, 0.4359], qb:[], phi:[0.3547]] | [X:[], M:[[2]], q:[[0], [3]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ q_2^4$, $ q_1q_2^3$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.62 + t^2.81 + t^3. + t^3.44 + t^3.63 + 2*t^3.87 + t^4.26 + t^4.74 + t^4.94 + t^5.13 + t^5.23 + t^5.42 + 2*t^5.62 + t^6.05 - t^6.19 + 2*t^6.24 + 2*t^6.44 + 2*t^6.49 + 2*t^6.68 - t^6.82 + 3*t^6.87 + t^7.06 + t^7.26 + 2*t^7.31 + t^7.36 + 2*t^7.5 + 2*t^7.55 + t^7.69 + 5*t^7.74 + t^7.85 + t^7.88 + t^7.94 + t^8.04 + 2*t^8.13 + t^8.18 + 2*t^8.23 - t^8.32 + t^8.37 + t^8.42 + t^8.51 + t^8.56 + t^8.62 + t^8.67 + t^8.76 - t^8.81 + 2*t^8.86 - t^4.06/y - t^5.37/y - t^5.56/y - t^6.19/y - t^6.68/y - t^6.87/y - t^7.06/y - t^7.5/y - t^7.69/y - t^7.94/y - t^7.99/y - (2*t^8.18)/y - t^8.32/y - (2*t^8.37)/y + t^8.42/y + t^8.62/y + t^8.76/y - t^8.81/y - t^4.06*y - t^5.37*y - t^5.56*y - t^6.19*y - t^6.68*y - t^6.87*y - t^7.06*y - t^7.5*y - t^7.69*y - t^7.94*y - t^7.99*y - 2*t^8.18*y - t^8.32*y - 2*t^8.37*y + t^8.42*y + t^8.62*y + t^8.76*y - t^8.81*y | g1^6*t^2.62 + g1^3*t^2.81 + t^3. + g1*t^3.44 + t^3.63/g1^2 + 2*g1^2*t^3.87 + t^4.26/g1^4 + g1^4*t^4.74 + g1*t^4.94 + t^5.13/g1^2 + g1^12*t^5.23 + g1^9*t^5.42 + 2*g1^6*t^5.62 + g1^7*t^6.05 - t^6.19/g1^3 + 2*g1^4*t^6.24 + 2*g1*t^6.44 + 2*g1^8*t^6.49 + 2*g1^5*t^6.68 - t^6.82/g1^5 + 3*g1^2*t^6.87 + t^7.06/g1 + t^7.26/g1^4 + 2*g1^3*t^7.31 + g1^10*t^7.36 + 2*t^7.5 + 2*g1^7*t^7.55 + t^7.69/g1^3 + 5*g1^4*t^7.74 + g1^18*t^7.85 + t^7.88/g1^6 + g1*t^7.94 + g1^15*t^8.04 + (2*t^8.13)/g1^2 + g1^5*t^8.18 + 2*g1^12*t^8.23 - t^8.32/g1^5 + g1^2*t^8.37 + g1^9*t^8.42 + t^8.51/g1^8 + t^8.56/g1 + g1^6*t^8.62 + g1^13*t^8.67 + t^8.76/g1^4 - g1^3*t^8.81 + 2*g1^10*t^8.86 - t^4.06/(g1*y) - (g1^2*t^5.37)/y - t^5.56/(g1*y) - t^6.19/(g1^3*y) - (g1^5*t^6.68)/y - (g1^2*t^6.87)/y - t^7.06/(g1*y) - t^7.5/y - t^7.69/(g1^3*y) - (g1*t^7.94)/y - (g1^8*t^7.99)/y - (2*g1^5*t^8.18)/y - t^8.32/(g1^5*y) - (2*g1^2*t^8.37)/y + (g1^9*t^8.42)/y + (g1^6*t^8.62)/y + t^8.76/(g1^4*y) - (g1^3*t^8.81)/y - (t^4.06*y)/g1 - g1^2*t^5.37*y - (t^5.56*y)/g1 - (t^6.19*y)/g1^3 - g1^5*t^6.68*y - g1^2*t^6.87*y - (t^7.06*y)/g1 - t^7.5*y - (t^7.69*y)/g1^3 - g1*t^7.94*y - g1^8*t^7.99*y - 2*g1^5*t^8.18*y - (t^8.32*y)/g1^5 - 2*g1^2*t^8.37*y + g1^9*t^8.42*y + g1^6*t^8.62*y + (t^8.76*y)/g1^4 - g1^3*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 45077 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ | 1.8 | 1.9135 | 0.9407 | [X:[], M:[0.842, 1.0518], q:[0.5, 0.4741], qb:[], phi:[0.342]] | t^2.05 + t^2.53 + t^2.92 + t^3. + t^3.16 + t^3.55 + t^3.95 + 2*t^4.1 + t^4.58 + t^4.9 + 2*t^4.97 + 3*t^5.05 + t^5.21 + t^5.45 + t^5.53 + t^5.6 + t^5.68 + t^5.84 + t^6. - t^4.03/y - t^5.45/y - t^5.53/y - t^4.03*y - t^5.45*y - t^5.53*y | detail | |
| 45017 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ \phi_1^4q_1$ | 1.7937 | 1.9187 | 0.9349 | [X:[], M:[0.875], q:[0.5, 0.375], qb:[], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.75 + 5*t^4.5 + 5*t^4.88 + 6*t^5.25 + t^5.62 + 4*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 7347/4096, c: 7859/4096, M1: 7/8, q1: 1/2, q2: 3/8, phi1: 3/8} |
| 45014 | $q_1^4$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ | 1.7916 | 1.8986 | 0.9437 | [X:[], M:[1.2864, 0.7864], q:[0.5, 0.4295], qb:[], phi:[0.3568]] | t^2.36 + t^2.58 + t^2.79 + t^3. + t^3.43 + 2*t^3.86 + t^4.28 + 2*t^4.72 + t^4.93 + t^4.94 + t^5.14 + 2*t^5.15 + t^5.36 + t^5.37 + 2*t^5.58 + t^5.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | |
| 45080 | $q_1^4$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_2$ | 1.7873 | 1.8885 | 0.9464 | [X:[], M:[1.2935, 0.8532], q:[0.5, 0.4403], qb:[], phi:[0.3532]] | t^2.56 + t^2.64 + t^2.82 + t^3. + t^3.62 + 2*t^3.88 + t^4.24 + t^4.76 + t^4.94 + 2*t^5.12 + t^5.2 + t^5.28 + t^5.38 + t^5.46 + t^5.56 + 2*t^5.64 - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*y | detail | |
| 44983 | $q_1^4$ + $ M_1\phi_1^2$ + $ M_2q_2^2$ | 1.7656 | 1.8496 | 0.9546 | [X:[], M:[1.312, 1.0639], q:[0.5, 0.4681], qb:[], phi:[0.344]] | t^2.9 + t^3. + t^3.19 + t^3.47 + t^3.56 + 2*t^3.94 + t^4.13 + t^4.87 + t^4.97 + t^5.06 + t^5.81 - t^4.03/y - t^5.44/y - t^5.53/y - t^4.03*y - t^5.44*y - t^5.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44928 | SO5adj1nf2 | $q_1^4$ | 1.7948 | 1.9054 | 0.942 | [X:[], M:[], q:[0.5, 0.4384], qb:[], phi:[0.3539]] | t^2.12 + t^2.63 + t^2.82 + t^3. + t^3.44 + t^3.62 + t^3.88 + 2*t^4.25 + 2*t^4.75 + 2*t^4.94 + 2*t^5.12 + t^5.26 + t^5.45 + t^5.56 + 2*t^5.63 + t^5.75 + t^6. - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*y | detail |