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 |
|---|---|---|---|---|---|---|---|---|---|
| 9089 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^3q_1^2$ + $ M_6^2$ + $ M_5X_2$ + $ M_4X_3$ + $ \phi_1^4X_4$ | 0.8533 | 0.9247 | 0.9228 | [X:[1.7143, 1.8571, 1.4286, 1.4286], M:[1.2857, 0.7143, 0.7143, 0.5714, 0.1429, 1.0], q:[0.2857, 0.8571], qb:[], phi:[0.1429]] | [X:[[0], [0], [0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 669/784, c: 725/784, X1: 12/7, X2: 13/7, X3: 10/7, X4: 10/7, M1: 9/7, M2: 5/7, M3: 5/7, M4: 4/7, M5: 1/7, M6: 1, q1: 2/7, q2: 6/7, phi1: 1/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ q_1q_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ X_3$, $ X_4$, $ M_2M_6$, $ M_3M_6$, $ X_1$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ X_2$ | . | -1 | 2*t^2.14 + t^3. + t^3.43 + 4*t^4.29 + 2*t^5.14 + 2*t^5.57 - t^6. + 7*t^6.43 + t^6.86 + 2*t^7.29 + 5*t^7.71 - 3*t^8.14 + 6*t^8.57 + t^7.71/y^2 - (2*t^8.57)/y^2 - t^3.43/y - t^4.29/y - (2*t^5.57)/y - (2*t^6.43)/y - t^6.86/y + t^7.29/y - (4*t^7.71)/y + (3*t^8.14)/y - t^8.57/y - t^3.43*y - t^4.29*y - 2*t^5.57*y - 2*t^6.43*y - t^6.86*y + t^7.29*y - 4*t^7.71*y + 3*t^8.14*y - t^8.57*y + t^7.71*y^2 - 2*t^8.57*y^2 | 2*t^2.14 + t^3. + t^3.43 + 4*t^4.29 + 2*t^5.14 + 2*t^5.57 - t^6. + 7*t^6.43 + t^6.86 + 2*t^7.29 + 5*t^7.71 - 3*t^8.14 + 6*t^8.57 + t^7.71/y^2 - (2*t^8.57)/y^2 - t^3.43/y - t^4.29/y - (2*t^5.57)/y - (2*t^6.43)/y - t^6.86/y + t^7.29/y - (4*t^7.71)/y + (3*t^8.14)/y - t^8.57/y - t^3.43*y - t^4.29*y - 2*t^5.57*y - 2*t^6.43*y - t^6.86*y + t^7.29*y - 4*t^7.71*y + 3*t^8.14*y - t^8.57*y + t^7.71*y^2 - 2*t^8.57*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 9101 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^3q_1^2$ + $ M_6^2$ + $ M_5X_2$ + $ M_4X_3$ + $ \phi_1^4X_4$ + $ M_2M_7$ | 0.8331 | 0.8867 | 0.9396 | [X:[1.7143, 1.8571, 1.4286, 1.4286], M:[1.2857, 0.7143, 0.7143, 0.5714, 0.1429, 1.0, 1.2857], q:[0.2857, 0.8571], qb:[], phi:[0.1429]] | t^2.14 + t^3. + t^3.43 + t^3.86 + 2*t^4.29 + t^5.14 + t^5.57 - t^3.43/y - t^4.29/y - t^5.57/y - t^3.43*y - t^4.29*y - t^5.57*y | detail | {a: 1143/1372, c: 2433/2744, X1: 12/7, X2: 13/7, X3: 10/7, X4: 10/7, M1: 9/7, M2: 5/7, M3: 5/7, M4: 4/7, M5: 1/7, M6: 1, M7: 9/7, q1: 2/7, q2: 6/7, phi1: 1/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8951 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^3q_1^2$ | 1.207 | 1.3827 | 0.873 | [X:[1.6204], M:[1.051, 0.949, 0.949, 0.7592, 0.8471, 0.6713], q:[0.3796, 0.4815], qb:[], phi:[0.1898]] | t^2.01 + 2*t^2.28 + t^2.54 + t^2.58 + 2*t^2.85 + t^4.03 + 3*t^4.29 + 4*t^4.56 + 2*t^4.6 + 2*t^4.82 + 5*t^4.86 + t^5.08 + 5*t^5.12 + t^5.17 + 2*t^5.39 + 2*t^5.43 + 2*t^5.69 - 2*t^6. - t^3.57/y - t^4.71/y - t^5.58/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - t^5.58*y - 2*t^5.85*y | detail |