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 |
|---|---|---|---|---|---|---|---|---|---|
| 45470 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ + $ q_2^4$ | 1.7618 | 1.8743 | 0.94 | [X:[1.4], M:[0.8, 0.8, 0.8, 0.9], q:[0.6, 0.5], qb:[], phi:[0.3]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 7047/4000, c: 7497/4000, X1: 7/5, M1: 4/5, M2: 4/5, M3: 4/5, M4: 9/10, q1: 3/5, q2: 1/2, phi1: 3/10} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_4^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_2q_2^2$, $ M_3q_2^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_4q_2^2$ | $M_4\phi_1^2q_2$, $ \phi_1^3q_1q_2$ | 0 | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^4.2 + 7*t^4.8 + 4*t^5.1 + 5*t^5.4 + 3*t^5.7 - t^6.3 + 6*t^6.6 + t^6.9 + 14*t^7.2 + 11*t^7.5 + 13*t^7.8 + 9*t^8.1 + 2*t^8.4 - 4*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - (3*t^6.3)/y - t^6.6/y - t^6.9/y - t^7.2/y - (4*t^8.1)/y + t^8.4/y - (5*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - 3*t^6.3*y - t^6.6*y - t^6.9*y - t^7.2*y - 4*t^8.1*y + t^8.4*y - 5*t^8.7*y | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^4.2 + 7*t^4.8 + 4*t^5.1 + 5*t^5.4 + 3*t^5.7 - t^6.3 + 6*t^6.6 + t^6.9 + 14*t^7.2 + 11*t^7.5 + 13*t^7.8 + 9*t^8.1 + 2*t^8.4 - 4*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - (3*t^6.3)/y - t^6.6/y - t^6.9/y - t^7.2/y - (4*t^8.1)/y + t^8.4/y - (5*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - 3*t^6.3*y - t^6.6*y - t^6.9*y - t^7.2*y - 4*t^8.1*y + t^8.4*y - 5*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 45534 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ + $ q_2^4$ + $ M_5\phi_1^2q_2$ | 1.7708 | 1.8896 | 0.9372 | [X:[1.4], M:[0.8, 0.8, 0.8, 0.9, 0.9], q:[0.6, 0.5], qb:[], phi:[0.3]] | 3*t^2.4 + 2*t^2.7 + t^3. + 2*t^4.2 + 7*t^4.8 + 7*t^5.1 + 7*t^5.4 + t^5.7 - t^6. - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y | detail | {a: 56667/32000, c: 60467/32000, X1: 7/5, M1: 4/5, M2: 4/5, M3: 4/5, M4: 9/10, M5: 9/10, q1: 3/5, q2: 1/2, phi1: 3/10} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45269 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ | 1.7655 | 1.8851 | 0.9366 | [X:[1.3859], M:[0.7717, 0.7717, 0.7717, 0.9212], q:[0.6141, 0.4647], qb:[], phi:[0.3071]] | 3*t^2.32 + t^2.76 + t^2.79 + t^3.24 + 2*t^4.16 + 7*t^4.63 + 4*t^5.08 + 3*t^5.1 + 2*t^5.53 + 3*t^5.55 + t^5.58 - t^6. - t^3.92/y - t^5.32/y - (2*t^5.76)/y - t^3.92*y - t^5.32*y - 2*t^5.76*y | detail |