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 |
|---|---|---|---|---|---|---|---|---|---|
| 8398 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1q_2$ | 1.1582 | 1.2973 | 0.8928 | [X:[1.6498], M:[0.7004, 0.8755], q:[0.5623, 0.3872], qb:[], phi:[0.1751]] | [X:[[4]], M:[[-8], [-10]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_1M_2$, $ M_2\phi_1^4$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_2^2$, $ M_2q_1q_2$, $ M_2\phi_1q_2^2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | $M_1\phi_1q_1^2$, $ M_1\phi_1^2q_1q_2$ | 1 | 2*t^2.1 + t^2.63 + 2*t^2.85 + 2*t^3.9 + 3*t^4.2 + t^4.42 + 2*t^4.73 + 6*t^4.95 + t^5.25 + t^5.47 + 3*t^5.7 + t^6. + 4*t^6.3 + t^6.53 + 4*t^6.75 + 3*t^6.83 + 8*t^7.05 + 2*t^7.27 + 2*t^7.35 + 2*t^7.58 + 11*t^7.8 + t^7.88 + t^8.1 + 2*t^8.32 + 5*t^8.4 + 4*t^8.54 - 4*t^8.63 + 3*t^8.85 + 4*t^8.93 + t^8.1/y^2 - (2*t^8.63)/y^2 - t^3.53/y - t^4.58/y - (2*t^5.63)/y - t^6.15/y - (2*t^6.37)/y - (2*t^6.68)/y - (2*t^7.42)/y - t^7.73/y + (4*t^7.95)/y - (2*t^8.25)/y - (2*t^8.47)/y + t^8.7/y - (4*t^8.78)/y - t^3.53*y - t^4.58*y - 2*t^5.63*y - t^6.15*y - 2*t^6.37*y - 2*t^6.68*y - 2*t^7.42*y - t^7.73*y + 4*t^7.95*y - 2*t^8.25*y - 2*t^8.47*y + t^8.7*y - 4*t^8.78*y + t^8.1*y^2 - 2*t^8.63*y^2 | (2*t^2.1)/g1^8 + t^2.63/g1^10 + 2*g1^12*t^2.85 + 2*g1^8*t^3.9 + (3*t^4.2)/g1^16 + g1^6*t^4.42 + (2*t^4.73)/g1^18 + 6*g1^4*t^4.95 + t^5.25/g1^20 + g1^2*t^5.47 + 3*g1^24*t^5.7 + t^6. + (4*t^6.3)/g1^24 + t^6.53/g1^2 + 4*g1^20*t^6.75 + (3*t^6.83)/g1^26 + (8*t^7.05)/g1^4 + 2*g1^18*t^7.27 + (2*t^7.35)/g1^28 + (2*t^7.58)/g1^6 + 11*g1^16*t^7.8 + t^7.88/g1^30 + t^8.1/g1^8 + 2*g1^14*t^8.32 + (5*t^8.4)/g1^32 + 4*g1^36*t^8.54 - (4*t^8.63)/g1^10 + 3*g1^12*t^8.85 + (4*t^8.93)/g1^34 + t^8.1/(g1^8*y^2) - (2*t^8.63)/(g1^10*y^2) - t^3.53/(g1^2*y) - t^4.58/(g1^6*y) - (2*t^5.63)/(g1^10*y) - t^6.15/(g1^12*y) - (2*g1^10*t^6.37)/y - (2*t^6.68)/(g1^14*y) - (2*g1^6*t^7.42)/y - t^7.73/(g1^18*y) + (4*g1^4*t^7.95)/y - (2*t^8.25)/(g1^20*y) - (2*g1^2*t^8.47)/y + (g1^24*t^8.7)/y - (4*t^8.78)/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.58*y)/g1^6 - (2*t^5.63*y)/g1^10 - (t^6.15*y)/g1^12 - 2*g1^10*t^6.37*y - (2*t^6.68*y)/g1^14 - 2*g1^6*t^7.42*y - (t^7.73*y)/g1^18 + 4*g1^4*t^7.95*y - (2*t^8.25*y)/g1^20 - 2*g1^2*t^8.47*y + g1^24*t^8.7*y - (4*t^8.78*y)/g1^22 + (t^8.1*y^2)/g1^8 - (2*t^8.63*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 |
|---|---|---|---|---|---|---|---|---|
| 8543 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ q_1q_2X_2$ + $ \phi_1q_2^2X_3$ | 1.0131 | 1.1312 | 0.8956 | [X:[1.5556, 1.3333, 1.3333], M:[0.8889, 1.1111], q:[0.4444, 0.2222], qb:[], phi:[0.2222]] | 2*t^2.67 + 3*t^3.33 + 3*t^4. + 2*t^4.67 + 2*t^5.33 + 3*t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 1313/1296, c: 733/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 8/9, M2: 10/9, q1: 4/9, q2: 2/9, phi1: 2/9} |
| 8556 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1788 | 1.3365 | 0.882 | [X:[1.6512], M:[0.6975, 0.8719, 0.6975], q:[0.564, 0.3897], qb:[], phi:[0.1744]] | 3*t^2.09 + t^2.62 + 2*t^2.86 + t^3.91 + 6*t^4.19 + t^4.43 + 3*t^4.71 + 8*t^4.95 + t^5.23 + t^5.48 + 3*t^5.72 - t^3.52/y - t^4.57/y - (3*t^5.62)/y - t^3.52*y - t^4.57*y - 3*t^5.62*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8195 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ | 1.148 | 1.2828 | 0.8949 | [X:[1.6406], M:[0.7189], q:[0.5507, 0.371], qb:[], phi:[0.1797]] | 2*t^2.16 + 2*t^2.77 + t^3.3 + 2*t^3.84 + 3*t^4.31 + t^4.38 + 6*t^4.92 + t^5.46 + 3*t^5.53 + t^6. - t^3.54/y - t^4.62/y - (2*t^5.7)/y - t^3.54*y - t^4.62*y - 2*t^5.7*y | detail |