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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[4]], M:[[-32], [8]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1q_2$, $ \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_1q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_1^2$ | . | -1 | 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. + 2*t^6.46 + 2*t^6.62 + t^6.91 + 3*t^7.08 + 2*t^7.16 + t^7.24 + t^7.53 + t^7.61 + 4*t^7.7 + t^7.78 + t^7.83 + t^7.99 + 4*t^8.15 + 2*t^8.23 + 2*t^8.32 + t^8.45 + t^8.69 + t^8.77 + t^8.85 + t^8.93 + t^8.15/y^2 - t^3.54/y - t^4.61/y - t^6.15/y - t^6.31/y - t^6.77/y - t^6.85/y - t^7.22/y - (2*t^7.39)/y - t^7.84/y - t^7.92/y + t^8.38/y - t^8.46/y - t^8.76/y + t^8.84/y - t^3.54*y - t^4.61*y - t^6.15*y - t^6.31*y - t^6.77*y - t^6.85*y - t^7.22*y - 2*t^7.39*y - t^7.84*y - t^7.92*y + t^8.38*y - t^8.46*y - t^8.76*y + t^8.84*y + t^8.15*y^2 | t^2.61/g1^32 + g1^12*t^2.77 + t^3.23/g1^12 + g1^10*t^3.31 + 2*g1^8*t^3.85 + t^4.3/g1^16 + g1^6*t^4.39 + g1^28*t^4.47 + g1^4*t^4.92 + t^5.22/g1^64 + t^5.38/g1^20 + g1^24*t^5.54 + t^5.84/g1^44 - t^6. + (2*t^6.46)/g1^24 + 2*g1^20*t^6.62 + t^6.91/g1^48 + (3*t^7.08)/g1^4 + 2*g1^18*t^7.16 + g1^40*t^7.24 + t^7.53/g1^28 + t^7.61/g1^6 + 4*g1^16*t^7.7 + g1^38*t^7.78 + t^7.83/g1^96 + t^7.99/g1^52 + (4*t^8.15)/g1^8 + 2*g1^14*t^8.23 + 2*g1^36*t^8.32 + t^8.45/g1^76 + t^8.69/g1^10 + g1^12*t^8.77 + g1^34*t^8.85 + g1^56*t^8.93 + t^8.15/(g1^8*y^2) - t^3.54/(g1^2*y) - t^4.61/(g1^6*y) - t^6.15/(g1^34*y) - (g1^10*t^6.31)/y - t^6.77/(g1^14*y) - (g1^8*t^6.85)/y - t^7.22/(g1^38*y) - (2*g1^6*t^7.39)/y - t^7.84/(g1^18*y) - (g1^4*t^7.92)/y + t^8.38/(g1^20*y) - (g1^2*t^8.46)/y - t^8.76/(g1^66*y) + t^8.84/(g1^44*y) - (t^3.54*y)/g1^2 - (t^4.61*y)/g1^6 - (t^6.15*y)/g1^34 - g1^10*t^6.31*y - (t^6.77*y)/g1^14 - g1^8*t^6.85*y - (t^7.22*y)/g1^38 - 2*g1^6*t^7.39*y - (t^7.84*y)/g1^18 - g1^4*t^7.92*y + (t^8.38*y)/g1^20 - g1^2*t^8.46*y - (t^8.76*y)/g1^66 + (t^8.84*y)/g1^44 + (t^8.15*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 |
|---|---|---|---|---|---|---|---|---|
| 8500 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1q_1q_2$ | 1.08 | 1.1925 | 0.9057 | [X:[1.6], M:[1.2, 1.2], q:[0.5, 0.3], qb:[], phi:[0.2]] | t^2.4 + t^3. + 5*t^3.6 + t^4.2 + 3*t^4.8 + 3*t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | {a: 27/25, c: 477/400, X1: 8/5, M1: 6/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
| 8499 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ | 1.1369 | 1.2463 | 0.9122 | [X:[1.625], M:[1.0, 1.25], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] | t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.62 - t^3.56/y - t^4.69/y - t^3.56*y - t^4.69*y | detail | {a: 18627/16384, c: 20419/16384, X1: 13/8, M1: 1, M2: 5/4, q1: 15/32, q2: 13/32, phi1: 3/16} |
| 8505 | $\phi_1^2X_1$ + $ \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]] | 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^3.53/y - t^4.6/y - t^3.53*y - t^4.6*y | detail | |
| 8503 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1^2$ | 1.1553 | 1.2684 | 0.9109 | [X:[1.6382], M:[0.8947, 1.2763, 0.9145], q:[0.4523, 0.4622], qb:[], phi:[0.1809]] | t^2.68 + 2*t^2.74 + t^3.29 + 2*t^3.83 + t^4.34 + t^4.37 + t^4.4 + t^4.91 + t^5.37 + 2*t^5.43 + 3*t^5.49 - 2*t^6. - t^3.54/y - t^4.63/y - t^3.54*y - t^4.63*y | detail | |
| 8502 | $\phi_1^2X_1$ + $ \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]] | 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^3.53/y - t^4.6/y - t^3.53*y - t^4.6*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8196 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | t^2.15 + t^2.59 + t^2.78 + t^3.22 + t^3.31 + t^3.85 + 2*t^4.3 + t^4.39 + t^4.48 + t^4.74 + 2*t^4.93 + t^5.19 + 2*t^5.37 + t^5.46 + t^5.55 + t^5.82 - t^3.54/y - t^4.61/y - t^5.69/y - t^3.54*y - t^4.61*y - t^5.69*y | detail |