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 |
|---|---|---|---|---|---|---|---|---|---|
| 1163 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3^2$ | 0.6498 | 0.8082 | 0.8041 | [X:[], M:[1.2, 1.0667, 1.0, 0.8, 0.7333], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3899/6000, c: 4849/6000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 11/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_2M_5$, $ M_2M_4$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1\tilde{q}_1$ | $M_4q_1\tilde{q}_1$ | 1 | t^2.2 + t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 3*t^6.6 + 3*t^6.8 + 4*t^7. + 5*t^7.2 + 2*t^7.4 + 5*t^7.6 + 3*t^7.8 + 5*t^8. + t^8.2 + 5*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.6/y + t^7.6/y + t^8./y + (3*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.6*y + t^7.6*y + t^8.*y + 3*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | t^2.2 + t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 3*t^6.6 + 3*t^6.8 + 4*t^7. + 5*t^7.2 + 2*t^7.4 + 5*t^7.6 + 3*t^7.8 + 5*t^8. + t^8.2 + 5*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.6/y + t^7.6/y + t^8./y + (3*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.6*y + t^7.6*y + t^8.*y + 3*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2196 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3^2$ + $ M_1M_6$ | 0.6663 | 0.8372 | 0.7959 | [X:[], M:[1.2, 1.0667, 1.0, 0.8, 0.7333, 0.8], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.2 + 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 4*t^4.8 + t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 1999/3000, c: 5023/6000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 11/15, M6: 4/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
| 2195 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2M_6$ | 0.656 | 0.8185 | 0.8015 | [X:[], M:[1.2, 1.0667, 1.0, 0.8, 0.7333, 0.9333], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.2 + t^2.4 + 2*t^2.8 + t^3. + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + 2*t^5. + 3*t^5.2 + 3*t^5.6 + 4*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 82/125, c: 1637/2000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, M5: 11/15, M6: 14/15, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.06 + t^2.59 + t^2.71 + t^2.76 + t^3.29 + t^3.35 + t^3.41 + t^3.88 + t^4. + t^4.06 + t^4.12 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.76 + t^4.82 + t^5.18 + t^5.29 + t^5.35 + 2*t^5.41 + t^5.47 + t^5.53 + 2*t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |