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 |
|---|---|---|---|---|---|---|---|---|---|
| 47007 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_3q_1q_2$ | 0.6219 | 0.7834 | 0.7939 | [X:[], M:[1.0833, 0.75, 0.8333, 1.25], q:[0.75, 0.4167], qb:[0.3333, 0.5], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3821/6144, c: 4813/6144, M1: 13/12, M2: 3/4, M3: 5/6, M4: 5/4, q1: 3/4, q2: 5/12, qb1: 1/3, qb2: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + 2*t^4.75 + 3*t^5. + t^5.25 + 3*t^5.5 + 3*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 4*t^6.75 + 6*t^7. + 4*t^7.25 + 7*t^7.5 + 4*t^7.75 + 5*t^8. + 5*t^8.25 + 2*t^8.5 + 4*t^8.75 - t^4.5/y - t^7./y + t^7.25/y + t^7.75/y + (2*t^8.)/y + t^8.25/y + (4*t^8.5)/y + (5*t^8.75)/y - t^4.5*y - t^7.*y + t^7.25*y + t^7.75*y + 2*t^8.*y + t^8.25*y + 4*t^8.5*y + 5*t^8.75*y | t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + 2*t^4.75 + 3*t^5. + t^5.25 + 3*t^5.5 + 3*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 4*t^6.75 + 6*t^7. + 4*t^7.25 + 7*t^7.5 + 4*t^7.75 + 5*t^8. + 5*t^8.25 + 2*t^8.5 + 4*t^8.75 - t^4.5/y - t^7./y + t^7.25/y + t^7.75/y + (2*t^8.)/y + t^8.25/y + (4*t^8.5)/y + (5*t^8.75)/y - t^4.5*y - t^7.*y + t^7.25*y + t^7.75*y + 2*t^8.*y + t^8.25*y + 4*t^8.5*y + 5*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 54193 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_3q_1q_2$ + $ M_1M_5$ | 0.6296 | 0.7962 | 0.7907 | [X:[], M:[1.0833, 0.75, 0.8333, 1.25, 0.9167], q:[0.75, 0.4167], qb:[0.3333, 0.5], phi:[0.5]] | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + 2*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 967/1536, c: 1223/1536, M1: 13/12, M2: 3/4, M3: 5/6, M4: 5/4, M5: 11/12, q1: 3/4, q2: 5/12, qb1: 1/3, qb2: 1/2, phi1: 1/2} |
| 52775 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6076 | 0.7586 | 0.8009 | [X:[], M:[1.0833, 0.75, 0.8333, 1.25, 1.1667], q:[0.75, 0.4167], qb:[0.3333, 0.5], phi:[0.5]] | t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 3733/6144, c: 4661/6144, M1: 13/12, M2: 3/4, M3: 5/6, M4: 5/4, M5: 7/6, q1: 3/4, q2: 5/12, qb1: 1/3, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46388 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6268 | 0.7908 | 0.7925 | [X:[], M:[1.1253, 0.75, 0.7495, 1.25], q:[0.75, 0.3747], qb:[0.3753, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + 3*t^3.75 + t^4.12 + t^4.13 + 4*t^4.5 + t^4.87 + t^4.88 + 3*t^5.25 + 3*t^5.62 + 2*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail |