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 |
|---|---|---|---|---|---|---|---|---|---|
| 8515 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1552 | 1.2908 | 0.895 | [X:[1.662], M:[1.0139, 0.6759, 0.8449], q:[0.5775, 0.4086], qb:[], phi:[0.169]] | [X:[[4]], M:[[-12], [-8], [-10]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^4$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ M_2^2$, $ M_2\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_2M_3$, $ M_3\phi_1^4$, $ \phi_1^3q_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1M_2$, $ M_3^2$, $ M_1\phi_1^4$, $ M_1M_3$, $ \phi_1^2q_2^4$ | $M_2\phi_1^2q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1^3q_2^2$, $ \phi_1^7q_2^2$ | 2 | 2*t^2.03 + t^2.53 + t^2.96 + t^3.04 + 2*t^3.97 + 3*t^4.06 + t^4.48 + 2*t^4.56 + 4*t^4.99 + 3*t^5.07 + t^5.58 + t^5.92 + 2*t^6. + 5*t^6.08 + t^6.51 + 3*t^6.59 + 2*t^6.93 + 7*t^7.01 + 5*t^7.1 + t^7.44 + t^7.52 + 3*t^7.6 + 5*t^7.94 + 4*t^8.03 + 8*t^8.11 + t^8.45 - 4*t^8.53 + 5*t^8.62 + t^8.87 + 3*t^8.96 + t^8.03/y^2 - (2*t^8.53)/y^2 - t^3.51/y - t^4.52/y - (2*t^5.53)/y - t^6.04/y - t^6.47/y - (3*t^6.55)/y - t^7.48/y - (2*t^7.56)/y + (2*t^7.99)/y - t^8.49/y - (5*t^8.58)/y - t^3.51*y - t^4.52*y - 2*t^5.53*y - t^6.04*y - t^6.47*y - 3*t^6.55*y - t^7.48*y - 2*t^7.56*y + 2*t^7.99*y - t^8.49*y - 5*t^8.58*y + t^8.03*y^2 - 2*t^8.53*y^2 | (2*t^2.03)/g1^8 + t^2.53/g1^10 + g1^12*t^2.96 + t^3.04/g1^12 + 2*g1^8*t^3.97 + (3*t^4.06)/g1^16 + g1^6*t^4.48 + (2*t^4.56)/g1^18 + 4*g1^4*t^4.99 + (3*t^5.07)/g1^20 + t^5.58/g1^22 + g1^24*t^5.92 + 2*t^6. + (5*t^6.08)/g1^24 + t^6.51/g1^2 + (3*t^6.59)/g1^26 + 2*g1^20*t^6.93 + (7*t^7.01)/g1^4 + (5*t^7.1)/g1^28 + g1^18*t^7.44 + t^7.52/g1^6 + (3*t^7.6)/g1^30 + 5*g1^16*t^7.94 + (4*t^8.03)/g1^8 + (8*t^8.11)/g1^32 + g1^14*t^8.45 - (4*t^8.53)/g1^10 + (5*t^8.62)/g1^34 + g1^36*t^8.87 + 3*g1^12*t^8.96 + t^8.03/(g1^8*y^2) - (2*t^8.53)/(g1^10*y^2) - t^3.51/(g1^2*y) - t^4.52/(g1^6*y) - (2*t^5.53)/(g1^10*y) - t^6.04/(g1^12*y) - (g1^10*t^6.47)/y - (3*t^6.55)/(g1^14*y) - (g1^6*t^7.48)/y - (2*t^7.56)/(g1^18*y) + (2*g1^4*t^7.99)/y - (g1^2*t^8.49)/y - (5*t^8.58)/(g1^22*y) - (t^3.51*y)/g1^2 - (t^4.52*y)/g1^6 - (2*t^5.53*y)/g1^10 - (t^6.04*y)/g1^12 - g1^10*t^6.47*y - (3*t^6.55*y)/g1^14 - g1^6*t^7.48*y - (2*t^7.56*y)/g1^18 + 2*g1^4*t^7.99*y - g1^2*t^8.49*y - (5*t^8.58*y)/g1^22 + (t^8.03*y^2)/g1^8 - (2*t^8.53*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 |
|---|---|---|---|---|---|---|---|---|
| 8701 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_4\phi_1^3q_2^2$ | 1.176 | 1.3319 | 0.883 | [X:[1.6624], M:[1.0127, 0.6751, 0.8439, 0.6751], q:[0.5781, 0.4093], qb:[], phi:[0.1688]] | 3*t^2.03 + t^2.53 + t^2.96 + t^3.04 + t^3.97 + 6*t^4.05 + t^4.48 + 3*t^4.56 + 5*t^4.99 + 4*t^5.06 + t^5.57 + t^5.92 + t^6. - t^3.51/y - t^4.52/y - (3*t^5.53)/y - t^3.51*y - t^4.52*y - 3*t^5.53*y | detail | {a: 117431/99856, c: 66497/49928, X1: 394/237, M1: 80/79, M2: 160/237, M3: 200/237, M4: 160/237, q1: 137/237, q2: 97/237, phi1: 40/237} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8384 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1425 | 1.27 | 0.8996 | [X:[1.6533], M:[1.0401, 0.6934], q:[0.5666, 0.3933], qb:[], phi:[0.1734]] | 2*t^2.08 + t^2.88 + t^3.12 + t^3.4 + 2*t^3.92 + 3*t^4.16 + t^4.44 + 4*t^4.96 + 2*t^5.2 + t^5.48 + t^5.76 + 2*t^6. - t^3.52/y - t^4.56/y - (2*t^5.6)/y - t^3.52*y - t^4.56*y - 2*t^5.6*y | detail |