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 |
|---|---|---|---|---|---|---|---|---|---|
| 8502 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3q_1q_2$ | 1.1413 | 1.2441 | 0.9174 | [X:[1.6445], M:[0.8441, 1.289, 1.0665], q:[0.4444, 0.4891], qb:[], phi:[0.1778]] | [X:[[4]], M:[[-32], [8], [-12]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_1^2$, $ M_1M_3$, $ M_1\phi_1q_1^2$ | . | -2 | t^2.53 + 2*t^3.2 + t^3.33 + 2*t^3.87 + t^4.27 + t^4.4 + t^4.53 + t^4.93 + t^5.06 + 2*t^5.73 - 2*t^6. - t^6.13 + 4*t^6.4 + t^6.53 + t^6.8 + 4*t^7.07 + t^7.2 + 2*t^7.47 + 3*t^7.6 + 4*t^7.73 + t^7.87 + 4*t^8.13 + 2*t^8.26 + 2*t^8.27 + t^8.4 - t^8.53 + t^8.67 + 2*t^8.8 + 5*t^8.93 + t^8.13/y^2 - t^3.53/y - t^4.6/y - t^6.07/y - (2*t^6.73)/y - t^6.87/y - t^7.13/y - t^7.4/y - (2*t^7.8)/y - t^7.93/y - t^8.47/y - t^8.6/y + (2*t^8.73)/y + t^8.87/y - t^3.53*y - t^4.6*y - t^6.07*y - 2*t^6.73*y - t^6.87*y - t^7.13*y - t^7.4*y - 2*t^7.8*y - t^7.93*y - t^8.47*y - t^8.6*y + 2*t^8.73*y + t^8.87*y + t^8.13*y^2 | t^2.53/g1^32 + (2*t^3.2)/g1^12 + g1^10*t^3.33 + 2*g1^8*t^3.87 + t^4.27/g1^16 + g1^6*t^4.4 + g1^28*t^4.53 + g1^4*t^4.93 + t^5.06/g1^64 + (2*t^5.73)/g1^44 - 2*t^6. - g1^22*t^6.13 + (4*t^6.4)/g1^24 + t^6.53/g1^2 + t^6.8/g1^48 + (4*t^7.07)/g1^4 + g1^18*t^7.2 + (2*t^7.47)/g1^28 + t^7.6/g1^96 + (2*t^7.6)/g1^6 + 4*g1^16*t^7.73 + g1^38*t^7.87 + (4*t^8.13)/g1^8 + (2*t^8.26)/g1^76 + 2*g1^14*t^8.27 + g1^36*t^8.4 - t^8.53/g1^32 + t^8.67/g1^10 + 2*g1^12*t^8.8 + (4*t^8.93)/g1^56 + g1^34*t^8.93 + t^8.13/(g1^8*y^2) - t^3.53/(g1^2*y) - t^4.6/(g1^6*y) - t^6.07/(g1^34*y) - (2*t^6.73)/(g1^14*y) - (g1^8*t^6.87)/y - t^7.13/(g1^38*y) - (g1^6*t^7.4)/y - (2*t^7.8)/(g1^18*y) - (g1^4*t^7.93)/y - (g1^2*t^8.47)/y - t^8.6/(g1^66*y) + (2*t^8.73)/(g1^44*y) + t^8.87/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.6*y)/g1^6 - (t^6.07*y)/g1^34 - (2*t^6.73*y)/g1^14 - g1^8*t^6.87*y - (t^7.13*y)/g1^38 - g1^6*t^7.4*y - (2*t^7.8*y)/g1^18 - g1^4*t^7.93*y - g1^2*t^8.47*y - (t^8.6*y)/g1^66 + (2*t^8.73*y)/g1^44 + (t^8.87*y)/g1^22 + (t^8.13*y^2)/g1^8 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8374 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1479 | 1.2552 | 0.9145 | [X:[1.6413], M:[0.8696, 1.2826], q:[0.4484, 0.4755], qb:[], phi:[0.1793]] | t^2.61 + t^2.77 + t^3.23 + t^3.31 + 2*t^3.85 + t^4.3 + t^4.39 + t^4.47 + t^4.92 + t^5.22 + t^5.38 + t^5.54 + t^5.84 - t^6. - t^3.54/y - t^4.61/y - t^3.54*y - t^4.61*y | detail |