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 |
|---|---|---|---|---|---|---|---|---|---|
| 1251 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ + $ M_3M_5$ | 0.5602 | 0.6956 | 0.8053 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 0.9167], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1721/3072, c: 2137/3072, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 11/12, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 + 2*t^6.25 + 2*t^6.5 + 2*t^6.75 + 2*t^7. + 3*t^7.25 + 4*t^7.5 + 4*t^7.75 + 3*t^8. + 2*t^8.25 + 3*t^8.5 - t^8.75 - t^4.25/y - t^6.75/y - t^7./y + t^7.5/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y - t^7.*y + t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 3*t^8.75*y | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 + 2*t^6.25 + 2*t^6.5 + 2*t^6.75 + 2*t^7. + 3*t^7.25 + 4*t^7.5 + 4*t^7.75 + 3*t^8. + 2*t^8.25 + 3*t^8.5 - t^8.75 - t^4.25/y - t^6.75/y - t^7./y + t^7.5/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y - t^7.*y + t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 2290 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.5793 | 0.7303 | 0.7932 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 0.9167, 0.75], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^4. + t^4.25 + 3*t^4.5 + 3*t^4.75 + 5*t^5. + 3*t^5.25 + 3*t^5.5 + 3*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 3559/6144, c: 4487/6144, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 11/12, M6: 3/4, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 767 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ | 0.5526 | 0.6828 | 0.8093 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3395/6144, c: 4195/6144, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |