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 |
|---|---|---|---|---|---|---|---|---|---|
| 8759 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_1q_2$ | 1.1994 | 1.376 | 0.8716 | [X:[1.6525], M:[0.6951, 0.6951, 0.6951, 0.8688], q:[0.5656, 0.3918], qb:[], phi:[0.1738]] | [X:[[4]], M:[[-8], [-8], [-8], [-10]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ \phi_1^4$, $ M_4$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ M_4\phi_1^4$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_4^2$, $ M_4q_1q_2$, $ M_4\phi_1q_2^2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | . | -3 | 4*t^2.09 + t^2.61 + 2*t^2.87 + 10*t^4.17 + t^4.44 + 4*t^4.69 + 10*t^4.96 + t^5.21 + t^5.48 + 3*t^5.74 - 3*t^6. + 20*t^6.26 + t^6.52 + 10*t^6.78 + 26*t^7.04 + 4*t^7.3 + 2*t^7.31 + 4*t^7.56 + t^7.82 + 14*t^7.83 - 11*t^8.09 + 35*t^8.34 - 11*t^8.61 + 4*t^8.62 + 20*t^8.86 - 9*t^8.87 + t^8.09/y^2 - (4*t^8.61)/y^2 - t^3.52/y - t^4.56/y - (4*t^5.61)/y - t^6.13/y - (2*t^6.39)/y - (4*t^6.65)/y + (5*t^7.17)/y - (6*t^7.69)/y + (8*t^7.96)/y - (4*t^8.21)/y - (4*t^8.48)/y - (11*t^8.73)/y + t^8.74/y - t^3.52*y - t^4.56*y - 4*t^5.61*y - t^6.13*y - 2*t^6.39*y - 4*t^6.65*y + 5*t^7.17*y - 6*t^7.69*y + 8*t^7.96*y - 4*t^8.21*y - 4*t^8.48*y - 11*t^8.73*y + t^8.74*y + t^8.09*y^2 - 4*t^8.61*y^2 | (4*t^2.09)/g1^8 + t^2.61/g1^10 + 2*g1^12*t^2.87 + (10*t^4.17)/g1^16 + g1^6*t^4.44 + (4*t^4.69)/g1^18 + 10*g1^4*t^4.96 + t^5.21/g1^20 + g1^2*t^5.48 + 3*g1^24*t^5.74 - 3*t^6. + (20*t^6.26)/g1^24 + t^6.52/g1^2 + (10*t^6.78)/g1^26 + (26*t^7.04)/g1^4 + (4*t^7.3)/g1^28 + 2*g1^18*t^7.31 + (4*t^7.56)/g1^6 + t^7.82/g1^30 + 14*g1^16*t^7.83 - (11*t^8.09)/g1^8 + (35*t^8.34)/g1^32 - (11*t^8.61)/g1^10 + 4*g1^36*t^8.62 + (20*t^8.86)/g1^34 - 9*g1^12*t^8.87 + t^8.09/(g1^8*y^2) - (4*t^8.61)/(g1^10*y^2) - t^3.52/(g1^2*y) - t^4.56/(g1^6*y) - (4*t^5.61)/(g1^10*y) - t^6.13/(g1^12*y) - (2*g1^10*t^6.39)/y - (4*t^6.65)/(g1^14*y) + (5*t^7.17)/(g1^16*y) - (6*t^7.69)/(g1^18*y) + (8*g1^4*t^7.96)/y - (4*t^8.21)/(g1^20*y) - (4*g1^2*t^8.48)/y - (11*t^8.73)/(g1^22*y) + (g1^24*t^8.74)/y - (t^3.52*y)/g1^2 - (t^4.56*y)/g1^6 - (4*t^5.61*y)/g1^10 - (t^6.13*y)/g1^12 - 2*g1^10*t^6.39*y - (4*t^6.65*y)/g1^14 + (5*t^7.17*y)/g1^16 - (6*t^7.69*y)/g1^18 + 8*g1^4*t^7.96*y - (4*t^8.21*y)/g1^20 - 4*g1^2*t^8.48*y - (11*t^8.73*y)/g1^22 + g1^24*t^8.74*y + (t^8.09*y^2)/g1^8 - (4*t^8.61*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8596 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1885 | 1.3579 | 0.8752 | [X:[1.6448], M:[0.7105, 0.7105, 0.7105], q:[0.556, 0.3783], qb:[], phi:[0.1776]] | 4*t^2.13 + 2*t^2.8 + t^3.34 + 10*t^4.26 + t^4.4 + 10*t^4.93 + 3*t^5.47 + 3*t^5.61 - 3*t^6. - t^3.53/y - t^4.6/y - (4*t^5.66)/y - t^3.53*y - t^4.6*y - 4*t^5.66*y | detail |