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 |
|---|---|---|---|---|---|---|---|---|---|
| 8505 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ | 1.1575 | 1.2714 | 0.9104 | [X:[1.6438], M:[0.8498, 1.2875, 0.8906], q:[0.4453, 0.486], qb:[], phi:[0.1781]] | [X:[[4]], M:[[-32], [8], [-10]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ q_1q_2$, $ \phi_1q_1^2$, $ 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_3^2$, $ M_1q_1q_2$, $ M_3q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_1^2$ | . | -1 | t^2.55 + t^2.67 + t^2.79 + t^3.21 + 2*t^3.86 + t^4.27 + t^4.4 + t^4.52 + t^4.93 + t^5.1 + t^5.22 + 2*t^5.34 + t^5.47 + t^5.59 + t^5.76 - t^6. - t^6.12 + 2*t^6.41 + t^6.53 + t^6.66 + t^6.82 + t^6.95 + 4*t^7.07 + t^7.19 + t^7.31 + t^7.48 + t^7.6 + t^7.65 + 3*t^7.73 + t^7.77 + 2*t^7.89 + 2*t^8.02 + 5*t^8.14 + 2*t^8.26 + t^8.31 + 2*t^8.38 - t^8.67 + 2*t^8.96 + t^8.14/y^2 - t^3.53/y - t^4.6/y - t^6.08/y - t^6.21/y - t^6.33/y - t^6.74/y - t^7.15/y - t^7.27/y - (2*t^7.4)/y - t^7.81/y + t^8.22/y + t^8.34/y - t^8.63/y - t^8.88/y - t^3.53*y - t^4.6*y - t^6.08*y - t^6.21*y - t^6.33*y - t^6.74*y - t^7.15*y - t^7.27*y - 2*t^7.4*y - t^7.81*y + t^8.22*y + t^8.34*y - t^8.63*y - t^8.88*y + t^8.14*y^2 | t^2.55/g1^32 + t^2.67/g1^10 + g1^12*t^2.79 + t^3.21/g1^12 + 2*g1^8*t^3.86 + t^4.27/g1^16 + g1^6*t^4.4 + g1^28*t^4.52 + g1^4*t^4.93 + t^5.1/g1^64 + t^5.22/g1^42 + (2*t^5.34)/g1^20 + g1^2*t^5.47 + g1^24*t^5.59 + t^5.76/g1^44 - t^6. - g1^22*t^6.12 + (2*t^6.41)/g1^24 + t^6.53/g1^2 + g1^20*t^6.66 + t^6.82/g1^48 + t^6.95/g1^26 + (4*t^7.07)/g1^4 + g1^18*t^7.19 + g1^40*t^7.31 + t^7.48/g1^28 + t^7.6/g1^6 + t^7.65/g1^96 + 3*g1^16*t^7.73 + t^7.77/g1^74 + (2*t^7.89)/g1^52 + (2*t^8.02)/g1^30 + (5*t^8.14)/g1^8 + 2*g1^14*t^8.26 + t^8.31/g1^76 + 2*g1^36*t^8.38 - t^8.67/g1^10 + (2*t^8.96)/g1^56 + t^8.14/(g1^8*y^2) - t^3.53/(g1^2*y) - t^4.6/(g1^6*y) - t^6.08/(g1^34*y) - t^6.21/(g1^12*y) - (g1^10*t^6.33)/y - t^6.74/(g1^14*y) - t^7.15/(g1^38*y) - t^7.27/(g1^16*y) - (2*g1^6*t^7.4)/y - t^7.81/(g1^18*y) + t^8.22/(g1^42*y) + t^8.34/(g1^20*y) - t^8.63/(g1^66*y) - t^8.88/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.6*y)/g1^6 - (t^6.08*y)/g1^34 - (t^6.21*y)/g1^12 - g1^10*t^6.33*y - (t^6.74*y)/g1^14 - (t^7.15*y)/g1^38 - (t^7.27*y)/g1^16 - 2*g1^6*t^7.4*y - (t^7.81*y)/g1^18 + (t^8.22*y)/g1^42 + (t^8.34*y)/g1^20 - (t^8.63*y)/g1^66 - (t^8.88*y)/g1^22 + (t^8.14*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 |
|---|---|---|---|---|---|---|---|---|
| 8705 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_1M_3$ | 1.132 | 1.2451 | 0.9092 | [X:[1.619], M:[1.0476, 1.2381, 0.9524], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | t^2.57 + t^2.86 + t^3.14 + t^3.43 + 2*t^3.71 + t^4. + t^4.29 + t^4.57 + t^4.86 + t^5.14 + t^5.43 + t^5.71 - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*y | detail | {a: 9319/8232, c: 5125/4116, X1: 34/21, M1: 22/21, M2: 26/21, M3: 20/21, q1: 10/21, q2: 8/21, phi1: 4/21} |
| 8714 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_4q_1q_2$ | 1.1516 | 1.2618 | 0.9126 | [X:[1.6469], M:[0.8248, 1.2938, 0.8827, 1.0593], q:[0.4414, 0.4993], qb:[], phi:[0.1765]] | t^2.47 + t^2.65 + 2*t^3.18 + 2*t^3.88 + t^4.24 + t^4.41 + t^4.58 + t^4.94 + t^4.95 + t^5.12 + t^5.3 + 2*t^5.65 + t^5.83 - 2*t^6. - t^3.53/y - t^4.59/y - t^6./y - t^3.53*y - t^4.59*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |