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 |
|---|---|---|---|---|---|---|---|---|---|
| 8309 | G2adj1nf1 | $\phi_1^2X_1$ | 1.3237 | 1.4166 | 0.9344 | [X:[1.6893], M:[], q:[0.3785], qb:[], phi:[0.1554]] | [X:[[2]], M:[], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ \phi_1^3q_1$, $ \phi_1^6$, $ \phi_1^2q_1^2$, $ \phi_1^4q_1^2$, $ q_1^4$, $ \phi_1^3q_1^3$, $ \phi_1^6q_1^2$, $ X_1$, $ \phi_1^9q_1$, $ \phi_1^2q_1^4$, $ \phi_1^12$, $ \phi_1^5q_1^3$ | $\phi_1^8q_1^2$ | 0 | t^2.27 + t^2.53 + t^2.8 + t^3.2 + t^4.14 + t^4.54 + 2*t^4.8 + 3*t^5.07 + t^5.33 + t^5.47 + t^5.59 + t^5.74 + t^6.2 - t^6.26 + 2*t^6.41 + t^6.67 + t^6.81 + t^6.93 + 2*t^7.08 + 5*t^7.34 - t^7.4 + 3*t^7.6 + t^7.75 + 2*t^7.86 + 2*t^8.01 - t^8.07 + t^8.13 + 2*t^8.27 + t^8.39 + t^8.47 - t^8.53 + 2*t^8.68 - t^8.74 + 3*t^8.94 + t^8.53/y^2 - t^8.74/y^2 + t^8.8/y^2 - t^3.47/y - t^5.07/y - t^5.33/y - t^5.74/y - t^6./y - t^6.26/y - t^6.67/y - t^7.34/y - (2*t^7.6)/y + t^7.8/y - t^7.86/y - t^8.01/y + t^8.07/y - t^8.13/y - (2*t^8.27)/y + t^8.33/y + t^8.47/y - (2*t^8.53)/y + t^8.74/y - t^8.94/y - t^3.47*y - t^5.07*y - t^5.33*y - t^5.74*y - t^6.*y - t^6.26*y - t^6.67*y - t^7.34*y - 2*t^7.6*y + t^7.8*y - t^7.86*y - t^8.01*y + t^8.07*y - t^8.13*y - 2*t^8.27*y + t^8.33*y + t^8.47*y - 2*t^8.53*y + t^8.74*y - t^8.94*y + t^8.53*y^2 - t^8.74*y^2 + t^8.8*y^2 | g1^8*t^2.27 + g1*t^2.53 + t^2.8/g1^6 + g1^6*t^3.2 + g1^4*t^4.14 + g1^16*t^4.54 + 2*g1^9*t^4.8 + 3*g1^2*t^5.07 + t^5.33/g1^5 + g1^14*t^5.47 + t^5.59/g1^12 + g1^7*t^5.74 + g1^6*t^6.2 - t^6.26/g1^7 + 2*g1^12*t^6.41 + g1^5*t^6.67 + g1^24*t^6.81 + t^6.93/g1^2 + 2*g1^17*t^7.08 + 5*g1^10*t^7.34 - t^7.4/g1^3 + 3*g1^3*t^7.6 + g1^22*t^7.75 + (2*t^7.86)/g1^4 + 2*g1^15*t^8.01 - g1^2*t^8.07 + t^8.13/g1^11 + 2*g1^8*t^8.27 + t^8.39/g1^18 + g1^14*t^8.47 - g1*t^8.53 + 2*g1^20*t^8.68 - g1^7*t^8.74 + 3*g1^13*t^8.94 + (g1*t^8.53)/y^2 - (g1^7*t^8.74)/y^2 + t^8.8/(g1^6*y^2) - t^3.47/(g1*y) - (g1^2*t^5.07)/y - t^5.33/(g1^5*y) - (g1^7*t^5.74)/y - t^6./y - t^6.26/(g1^7*y) - (g1^5*t^6.67)/y - (g1^10*t^7.34)/y - (2*g1^3*t^7.6)/y + (g1^9*t^7.8)/y - t^7.86/(g1^4*y) - (g1^15*t^8.01)/y + (g1^2*t^8.07)/y - t^8.13/(g1^11*y) - (2*g1^8*t^8.27)/y + t^8.33/(g1^5*y) + (g1^14*t^8.47)/y - (2*g1*t^8.53)/y + (g1^7*t^8.74)/y - (g1^13*t^8.94)/y - (t^3.47*y)/g1 - g1^2*t^5.07*y - (t^5.33*y)/g1^5 - g1^7*t^5.74*y - t^6.*y - (t^6.26*y)/g1^7 - g1^5*t^6.67*y - g1^10*t^7.34*y - 2*g1^3*t^7.6*y + g1^9*t^7.8*y - (t^7.86*y)/g1^4 - g1^15*t^8.01*y + g1^2*t^8.07*y - (t^8.13*y)/g1^11 - 2*g1^8*t^8.27*y + (t^8.33*y)/g1^5 + g1^14*t^8.47*y - 2*g1*t^8.53*y + g1^7*t^8.74*y - g1^13*t^8.94*y + g1*t^8.53*y^2 - g1^7*t^8.74*y^2 + (t^8.8*y^2)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8313 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ | 1.3311 | 1.4257 | 0.9336 | [X:[1.6972], M:[0.9085], q:[0.3944], qb:[], phi:[0.1514]] | t^2.37 + t^2.55 + 2*t^2.73 + t^4.18 + t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + 3*t^5.45 - t^6. - t^3.45/y - t^5.09/y - t^5.27/y - t^5.82/y - t^6./y - t^3.45*y - t^5.09*y - t^5.27*y - t^5.82*y - t^6.*y | detail | |
| 8312 | $\phi_1^2X_1$ + $ M_1\phi_1^3q_1$ | 1.3103 | 1.3929 | 0.9407 | [X:[1.6904], M:[1.1548], q:[0.3807], qb:[], phi:[0.1548]] | t^2.28 + t^2.79 + t^3.21 + t^3.46 + t^4.14 + t^4.57 + t^4.82 + 2*t^5.07 + t^5.5 + t^5.57 + t^5.75 - t^3.46/y - t^5.07/y - t^5.32/y - t^5.75/y - t^3.46*y - t^5.07*y - t^5.32*y - t^5.75*y | detail | |
| 8311 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ | 1.3186 | 1.4129 | 0.9333 | [X:[1.681], M:[1.043], q:[0.362], qb:[], phi:[0.1595]] | t^2.17 + t^2.52 + 2*t^3.13 + t^4.09 + t^4.34 + 2*t^4.69 + 2*t^5.04 + 2*t^5.3 + 2*t^5.65 - t^6. - t^3.48/y - t^5.04/y - t^5.39/y - t^5.65/y - t^6./y - t^3.48*y - t^5.04*y - t^5.39*y - t^5.65*y - t^6.*y | detail | |
| 8314 | $\phi_1^2X_1$ + $ M_1q_1^2$ | 1.3056 | 1.3816 | 0.945 | [X:[1.6958], M:[1.2166], q:[0.3917], qb:[], phi:[0.1521]] | t^2.54 + t^2.74 + t^3.26 + t^3.65 + t^4.18 + t^4.89 + 2*t^5.09 + t^5.28 + t^5.47 + t^5.81 - t^3.46/y - t^5.09/y - t^5.28/y - t^6./y - t^3.46*y - t^5.09*y - t^5.28*y - t^6.*y | detail | |
| 8316 | $\phi_1^2X_1$ + $ \phi_1^12$ + $ q_1^2X_2$ | 1.2943 | 1.3776 | 0.9395 | [X:[1.6667, 1.3333], M:[], q:[0.3333], qb:[], phi:[0.1667]] | t^2.5 + 2*t^3. + 2*t^4. + t^4.5 + 2*t^5. + 2*t^5.5 + 3*t^6. - t^3.5/y - t^5./y - t^5.5/y - t^6./y - t^3.5*y - t^5.*y - t^5.5*y - t^6.*y | detail | {a: 497/384, c: 529/384, X1: 5/3, X2: 4/3, q1: 1/3, phi1: 1/6} |
| 8319 | $\phi_1^2X_1$ + $ \phi_1^3q_1^3$ + $ \phi_1^6X_2$ | 1.1836 | 1.2114 | 0.9771 | [X:[1.7778, 1.3333], M:[], q:[0.5556], qb:[], phi:[0.1111]] | t^2.67 + t^3.33 + 2*t^4. + t^4.67 + t^5.33 + t^6. - t^3.33/y - t^4.67/y - t^5.33/y - t^6./y - t^3.33*y - t^4.67*y - t^5.33*y - t^6.*y | detail | {a: 767/648, c: 785/648, X1: 16/9, X2: 4/3, q1: 5/9, phi1: 1/9} |
| 8315 | $\phi_1^2X_1$ + $ \phi_1^5q_1^3$ | 1.3136 | 1.394 | 0.9424 | [X:[1.7143], M:[], q:[0.4286], qb:[], phi:[0.1429]] | 3*t^2.57 + t^3.43 + t^4.29 + 8*t^5.14 + t^6. - t^3.43/y - (2*t^5.14)/y - (3*t^6.)/y - t^3.43*y - 2*t^5.14*y - 3*t^6.*y | detail | {a: 7209/5488, c: 3825/2744, X1: 12/7, q1: 3/7, phi1: 1/7} |
| 8317 | $\phi_1^2X_1$ + $ \phi_1^9q_1$ + $ q_1^2X_2$ | 1.185 | 1.285 | 0.9222 | [X:[1.6, 1.6], M:[], q:[0.2], qb:[], phi:[0.2]] | 2*t^2.4 + 3*t^3.6 + 5*t^4.8 + t^5.4 + 5*t^6. - t^3.6/y - t^4.8/y - (3*t^6.)/y - t^3.6*y - t^4.8*y - 3*t^6.*y | detail | {a: 237/200, c: 257/200, X1: 8/5, X2: 8/5, q1: 1/5, phi1: 1/5} |
| 8318 | $\phi_1^2X_1$ + $ q_1^4$ | 1.266 | 1.3285 | 0.953 | [X:[1.75], M:[], q:[0.5], qb:[], phi:[0.125]] | t^2.25 + t^2.62 + t^3. + t^3.75 + 2*t^4.5 + t^4.88 + 3*t^5.25 + t^5.62 + t^6. - t^3.38/y - t^4.88/y - t^5.25/y - t^5.62/y - t^6./y - t^3.38*y - t^4.88*y - t^5.25*y - t^5.62*y - t^6.*y | detail | {a: 10371/8192, c: 10883/8192, X1: 7/4, q1: 1/2, phi1: 1/8} |
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 |
|---|