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 |
|---|---|---|---|---|---|---|---|---|---|
| 8334 | G2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ + $ M_2\phi_1^3q_1$ | 1.3048 | 1.3884 | 0.9398 | [X:[1.6821], M:[1.0463, 1.1589], q:[0.3642], qb:[], phi:[0.1589]] | [X:[[2]], M:[[6], [-1]], q:[[4]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ M_1$, $ \phi_1^2q_1^2$, $ M_2$, $ \phi_1^4q_1^2$, $ q_1^4$, $ \phi_1^3q_1^3$, $ X_1$, $ M_1q_1^2$, $ \phi_1^2q_1^4$, $ M_2q_1^2$ | . | -1 | t^2.19 + 2*t^3.14 + t^3.48 + t^4.09 + t^4.37 + t^4.71 + t^5.05 + 2*t^5.32 + t^5.66 - t^6. + t^6.14 + 4*t^6.28 - t^6.34 + t^6.56 + 2*t^6.62 + t^6.89 + t^6.95 + 3*t^7.23 - t^7.43 + 2*t^7.51 + 3*t^7.85 - t^7.91 - t^8.05 + 2*t^8.19 + t^8.32 + 4*t^8.46 - 2*t^8.66 + t^8.74 + 3*t^8.8 + t^8.86 + t^8.52/y^2 - t^8.66/y^2 + t^8.86/y^2 - t^3.48/y - t^5.05/y - t^5.38/y - t^5.66/y - (2*t^6.62)/y - t^6.95/y - t^7.23/y - t^7.57/y - t^7.85/y + t^7.91/y - (2*t^8.19)/y + (2*t^8.32)/y - (2*t^8.52)/y + t^8.66/y - (2*t^8.8)/y - t^3.48*y - t^5.05*y - t^5.38*y - t^5.66*y - 2*t^6.62*y - t^6.95*y - t^7.23*y - t^7.57*y - t^7.85*y + t^7.91*y - 2*t^8.19*y + 2*t^8.32*y - 2*t^8.52*y + t^8.66*y - 2*t^8.8*y + t^8.52*y^2 - t^8.66*y^2 + t^8.86*y^2 | g1^8*t^2.19 + 2*g1^6*t^3.14 + t^3.48/g1 + g1^4*t^4.09 + g1^16*t^4.37 + g1^9*t^4.71 + g1^2*t^5.05 + 2*g1^14*t^5.32 + g1^7*t^5.66 - t^6. + g1^6*t^6.14 + 4*g1^12*t^6.28 - t^6.34/g1^7 + g1^24*t^6.56 + 2*g1^5*t^6.62 + g1^17*t^6.89 + t^6.95/g1^2 + 3*g1^10*t^7.23 - t^7.43/g1^3 + 2*g1^22*t^7.51 + 3*g1^15*t^7.85 - t^7.91/g1^4 - g1^2*t^8.05 + 2*g1^8*t^8.19 + g1^14*t^8.32 + 4*g1^20*t^8.46 - 2*g1^7*t^8.66 + g1^32*t^8.74 + 3*g1^13*t^8.8 + t^8.86/g1^6 + (g1*t^8.52)/y^2 - (g1^7*t^8.66)/y^2 + t^8.86/(g1^6*y^2) - t^3.48/(g1*y) - (g1^2*t^5.05)/y - t^5.38/(g1^5*y) - (g1^7*t^5.66)/y - (2*g1^5*t^6.62)/y - t^6.95/(g1^2*y) - (g1^10*t^7.23)/y - (g1^3*t^7.57)/y - (g1^15*t^7.85)/y + t^7.91/(g1^4*y) - (2*g1^8*t^8.19)/y + (2*g1^14*t^8.32)/y - (2*g1*t^8.52)/y + (g1^7*t^8.66)/y - (2*g1^13*t^8.8)/y - (t^3.48*y)/g1 - g1^2*t^5.05*y - (t^5.38*y)/g1^5 - g1^7*t^5.66*y - 2*g1^5*t^6.62*y - (t^6.95*y)/g1^2 - g1^10*t^7.23*y - g1^3*t^7.57*y - g1^15*t^7.85*y + (t^7.91*y)/g1^4 - 2*g1^8*t^8.19*y + 2*g1^14*t^8.32*y - 2*g1*t^8.52*y + g1^7*t^8.66*y - 2*g1^13*t^8.8*y + g1*t^8.52*y^2 - g1^7*t^8.66*y^2 + (t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 8375 | $\phi_1^2X_1$ + $ M_1\phi_1^6$ + $ M_2\phi_1^3q_1$ + $ q_1^4$ | 1.2358 | 1.2748 | 0.9694 | [X:[1.75], M:[1.25, 1.125], q:[0.5], qb:[], phi:[0.125]] | t^3. + t^3.38 + 2*t^3.75 + t^4.5 + t^5.25 - t^3.38/y - t^4.88/y - t^5.25/y - t^3.38*y - t^4.88*y - t^5.25*y | detail | {a: 20247/16384, c: 20887/16384, X1: 7/4, M1: 5/4, M2: 9/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8311 | G2adj1nf1 | $\phi_1^2X_1$ + $ 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 |