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 |
|---|---|---|---|---|---|---|---|---|---|
| 44980 | SO5adj1nf2 | $q_1^3q_2$ + $ q_2^2$ + $ \phi_1^2X_1$ + $ q_1^2X_2$ | 1.152 | 1.1659 | 0.9881 | [X:[1.5556, 1.3333], M:[], q:[0.3333, 1.0], qb:[], phi:[0.2222]] | [X:[[0], [0]], M:[], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 1493/1296, c: 1511/1296, X1: 14/9, X2: 4/3, q1: 1/3, q2: 1, phi1: 2/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2q_1$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ q_1q_2$, $ X_2$, $ \phi_1^4q_1^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^6q_1$, $ \phi_1^8$, $ \phi_1^2q_1q_2$, $ \phi_1^4q_1^3$ | $\phi_1^6q_1^2$, $ \phi_1^3q_1q_2$ | 0 | t^2.33 + t^2.67 + t^3.33 + t^4. + 2*t^4.67 + t^5. + t^5.33 + t^5.67 + 2*t^6.67 + 2*t^7. + 3*t^7.33 + t^7.67 + 3*t^8. + t^8.33 + 2*t^8.67 + t^8.33/y^2 + t^8.67/y^2 - t^3.67/y - t^4.67/y - t^5./y - t^6./y - t^6.33/y - t^7./y - t^7.33/y - (2*t^7.67)/y - t^8.33/y - t^3.67*y - t^4.67*y - t^5.*y - t^6.*y - t^6.33*y - t^7.*y - t^7.33*y - 2*t^7.67*y - t^8.33*y + t^8.33*y^2 + t^8.67*y^2 | t^2.33 + t^2.67 + t^3.33 + t^4. + 2*t^4.67 + t^5. + t^5.33 + t^5.67 + 2*t^6.67 + 2*t^7. + 3*t^7.33 + t^7.67 + 3*t^8. + t^8.33 + 2*t^8.67 + t^8.33/y^2 + t^8.67/y^2 - t^3.67/y - t^4.67/y - t^5./y - t^6./y - t^6.33/y - t^7./y - t^7.33/y - (2*t^7.67)/y - t^8.33/y - t^3.67*y - t^4.67*y - t^5.*y - t^6.*y - t^6.33*y - t^7.*y - t^7.33*y - 2*t^7.67*y - t^8.33*y + t^8.33*y^2 + t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 45012 | $q_1^3q_2$ + $ q_2^2$ + $ \phi_1^2X_1$ + $ q_1^2X_2$ + $ M_1\phi_1^2q_1^2$ | 1.162 | 1.1829 | 0.9824 | [X:[1.5556, 1.3333], M:[0.8889], q:[0.3333, 1.0], qb:[], phi:[0.2222]] | t^2.33 + 2*t^2.67 + t^4. + 2*t^4.67 + 2*t^5. + 3*t^5.33 - t^6. - t^3.67/y - t^4.67/y - t^5./y - t^6./y - t^3.67*y - t^4.67*y - t^5.*y - t^6.*y | detail | {a: 251/216, c: 511/432, X1: 14/9, X2: 4/3, M1: 8/9, q1: 1/3, q2: 1, phi1: 2/9} |
| 45081 | $q_1^3q_2$ + $ q_2^2$ + $ \phi_1^2X_1$ + $ q_1^2X_2$ + $ M_1\phi_1^4$ | 1.142 | 1.1489 | 0.994 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.3333, 1.0], qb:[], phi:[0.2222]] | t^2.33 + 2*t^3.33 + t^4. + 2*t^4.67 + 2*t^5.67 - t^6. - t^3.67/y - t^4.67/y - t^5./y - t^6./y - t^3.67*y - t^4.67*y - t^5.*y - t^6.*y | detail | {a: 185/162, c: 1489/1296, X1: 14/9, X2: 4/3, M1: 10/9, q1: 1/3, q2: 1, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44922 | SO5adj1nf2 | $q_1^3q_2$ | 1.789 | 1.8962 | 0.9435 | [X:[], M:[], q:[0.5144, 0.4567], qb:[], phi:[0.343]] | t^2.06 + t^2.74 + t^2.91 + t^3.09 + t^3.43 + t^3.6 + t^3.94 + 2*t^4.12 + 2*t^4.8 + 2*t^4.97 + 2*t^5.14 + t^5.48 + t^5.49 + t^5.65 + t^5.66 + t^5.83 + t^6. - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*y | detail |