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 |
|---|---|---|---|---|---|---|---|---|---|
| 55202 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4^2$ | 0.5941 | 0.7399 | 0.8029 | [X:[], M:[0.75, 0.9167, 1.25, 1.0, 0.8333], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1825/3072, c: 2273/3072, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 5/6, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_1\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_2^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 4*t^6.25 + 3*t^6.5 + t^6.75 + t^7. + 3*t^7.25 + 8*t^7.5 + 7*t^7.75 + 4*t^8. + t^8.5 + 3*t^8.75 - t^4.25/y - (2*t^6.75)/y - t^7./y + t^7.5/y + (4*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (3*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - 2*t^6.75*y - t^7.*y + t^7.5*y + 4*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 3*t^8.5*y + 3*t^8.75*y | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 4*t^6.25 + 3*t^6.5 + t^6.75 + t^7. + 3*t^7.25 + 8*t^7.5 + 7*t^7.75 + 4*t^8. + t^8.5 + 3*t^8.75 - t^4.25/y - (2*t^6.75)/y - t^7./y + t^7.5/y + (4*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (3*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - 2*t^6.75*y - t^7.*y + t^7.5*y + 4*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 56852 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_6$ | 0.5864 | 0.7271 | 0.8066 | [X:[], M:[0.75, 0.9167, 1.25, 1.0, 0.8333, 1.0833], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 3*t^5. + t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1201/2048, c: 1489/2048, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 5/6, M6: 13/12, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6548 | 0.8265 | 0.7923 | [X:[], M:[0.8275, 0.7357, 1.1725, 0.6898, 0.7816], q:[0.8046, 0.3679], qb:[0.4597, 0.8046], phi:[0.3908]] | t^2.07 + t^2.21 + 2*t^2.34 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.79 + t^4.14 + t^4.28 + 3*t^4.41 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.45 + 3*t^5.59 + 3*t^5.72 + 4*t^5.86 - t^4.17/y - t^4.17*y | detail |