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 |
|---|---|---|---|---|---|---|---|---|---|
| 45313 | SO5adj1nf2 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2q_2$ | 1.728 | 1.8405 | 0.9389 | [X:[1.4], M:[1.2, 0.7, 0.9], q:[0.5, 0.3], qb:[], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 216/125, c: 3681/2000, X1: 7/5, M1: 6/5, M2: 7/10, M3: 9/10, q1: 1/2, q2: 3/10, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_3$, $ q_1^2$, $ M_1$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ X_1$, $ M_2\phi_1^2$, $ M_2M_3$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_3\phi_1^2$, $ M_2q_1^2$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ M_3q_1^2$, $ M_2\phi_1q_1q_2$ | $2\phi_1^3q_1q_2$ | 2 | t^2.1 + t^2.4 + t^2.7 + t^3. + 2*t^3.6 + 3*t^4.2 + t^4.5 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + 3*t^5.7 + 2*t^6. + 5*t^6.3 + 3*t^6.6 + 5*t^6.9 + 8*t^7.2 + 4*t^7.5 + 8*t^7.8 + 3*t^8.1 + 13*t^8.4 + 4*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^6.3/y - (2*t^6.6)/y - t^6.9/y - (2*t^7.2)/y - (2*t^7.8)/y - (2*t^8.4)/y - t^4.2*y - t^5.1*y - t^5.7*y - t^6.3*y - 2*t^6.6*y - t^6.9*y - 2*t^7.2*y - 2*t^7.8*y - 2*t^8.4*y | t^2.1 + t^2.4 + t^2.7 + t^3. + 2*t^3.6 + 3*t^4.2 + t^4.5 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + 3*t^5.7 + 2*t^6. + 5*t^6.3 + 3*t^6.6 + 5*t^6.9 + 8*t^7.2 + 4*t^7.5 + 8*t^7.8 + 3*t^8.1 + 13*t^8.4 + 4*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^6.3/y - (2*t^6.6)/y - t^6.9/y - (2*t^7.2)/y - (2*t^7.8)/y - (2*t^8.4)/y - t^4.2*y - t^5.1*y - t^5.7*y - t^6.3*y - 2*t^6.6*y - t^6.9*y - 2*t^7.2*y - 2*t^7.8*y - 2*t^8.4*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 45452 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2q_2$ + $ M_4\phi_1^2$ | 1.7115 | 1.8115 | 0.9448 | [X:[1.4], M:[1.2, 0.7, 0.9, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + t^2.7 + t^3. + 3*t^3.6 + 3*t^4.2 + 3*t^4.8 + t^5.1 + t^5.4 + 4*t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 3423/2000, c: 3623/2000, X1: 7/5, M1: 6/5, M2: 7/10, M3: 9/10, M4: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45164 | SO5adj1nf2 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ | 1.7189 | 1.8252 | 0.9418 | [X:[1.4], M:[1.2, 0.7], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + t^2.4 + t^3. + t^3.3 + 2*t^3.6 + 3*t^4.2 + t^4.5 + 3*t^4.8 + t^5.1 + 2*t^5.4 + 3*t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 11001/6400, c: 11681/6400, X1: 7/5, M1: 6/5, M2: 7/10, q1: 1/2, q2: 3/10, phi1: 2/5} |
| 45104 | SO5adj1nf2 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2$ | 1.6819 | 1.7569 | 0.9573 | [X:[1.4], M:[1.2, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^3. + t^3.3 + 3*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.8 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 2691/1600, c: 2811/1600, X1: 7/5, M1: 6/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5} |