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 |
|---|---|---|---|---|---|---|---|---|---|
| 1105 | 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_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_5$ | 0.6609 | 0.8054 | 0.8205 | [X:[], M:[1.0, 1.125, 0.9375, 0.75, 1.0625], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 86619/131072, c: 105563/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 3/4, M5: 17/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4q_1q_2$ | . | 0 | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + 2*t^5.25 + t^5.62 + t^5.81 + t^6.19 + 3*t^6.38 + 2*t^6.56 + 4*t^6.75 + t^6.94 + 4*t^7.12 + 2*t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + 3*t^8.06 + 2*t^8.25 + 2*t^8.44 + 2*t^8.62 - t^4.31/y - t^6.56/y + t^7.88/y + t^8.06/y + t^8.25/y + t^8.44/y + (2*t^8.62)/y + t^8.81/y - t^4.31*y - t^6.56*y + t^7.88*y + t^8.06*y + t^8.25*y + t^8.44*y + 2*t^8.62*y + t^8.81*y | t^2.25 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + 2*t^5.25 + t^5.62 + t^5.81 + t^6.19 + 3*t^6.38 + 2*t^6.56 + 4*t^6.75 + t^6.94 + 4*t^7.12 + 2*t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + 3*t^8.06 + 2*t^8.25 + 2*t^8.44 + 2*t^8.62 - t^4.31/y - t^6.56/y + t^7.88/y + t^8.06/y + t^8.25/y + t^8.44/y + (2*t^8.62)/y + t^8.81/y - t^4.31*y - t^6.56*y + t^7.88*y + t^8.06*y + t^8.25*y + t^8.44*y + 2*t^8.62*y + t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 2131 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_5$ + $ M_6q_1q_2$ | 0.6766 | 0.8328 | 0.8124 | [X:[], M:[1.0, 1.125, 0.9375, 0.75, 1.0625, 0.8125], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + t^2.44 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + t^4.69 + 3*t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 11085/16384, c: 13645/16384, M1: 1, M2: 9/8, M3: 15/16, M4: 3/4, M5: 17/16, M6: 13/16, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 688 | 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_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.6666 | 0.8151 | 0.8179 | [X:[], M:[1.0, 1.125, 0.9375, 0.75], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.56 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 43689/65536, c: 53417/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |