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 |
|---|---|---|---|---|---|---|---|---|---|
| 46001 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ q_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.6948 | 0.8554 | 0.8122 | [X:[], M:[0.9646, 0.9646], q:[0.5177, 0.5177], qb:[0.5177, 0.4469], phi:[0.5]] | [X:[], M:[[2], [2]], q:[[-1], [-1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_2q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_2q_2\tilde{q}_1$ | -5 | 5*t^2.89 + t^3. + t^3.11 + t^4.18 + 3*t^4.39 + 6*t^4.61 + 12*t^5.79 + 5*t^5.89 - 5*t^6. + t^6.11 - 2*t^6.21 + 5*t^7.08 + 10*t^7.29 + 15*t^7.5 + t^8.36 + 3*t^8.58 + 20*t^8.68 + 18*t^8.79 - 26*t^8.89 - t^4.5/y - (2*t^7.39)/y + (2*t^7.61)/y + (10*t^8.79)/y + (5*t^8.89)/y - t^4.5*y - 2*t^7.39*y + 2*t^7.61*y + 10*t^8.79*y + 5*t^8.89*y | 5*g1^2*t^2.89 + t^3. + t^3.11/g1^2 + g1^6*t^4.18 + 3*g1^2*t^4.39 + (6*t^4.61)/g1^2 + 12*g1^4*t^5.79 + 5*g1^2*t^5.89 - 5*t^6. + t^6.11/g1^2 - (2*t^6.21)/g1^4 + 5*g1^8*t^7.08 + 10*g1^4*t^7.29 + 15*t^7.5 + g1^12*t^8.36 + 3*g1^8*t^8.58 + 20*g1^6*t^8.68 + 18*g1^4*t^8.79 - 26*g1^2*t^8.89 - t^4.5/y - (2*g1^2*t^7.39)/y + (2*t^7.61)/(g1^2*y) + (10*g1^4*t^8.79)/y + (5*g1^2*t^8.89)/y - t^4.5*y - 2*g1^2*t^7.39*y + (2*t^7.61*y)/g1^2 + 10*g1^4*t^8.79*y + 5*g1^2*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 46191 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ q_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.6003 | 0.7357 | 0.8159 | [X:[], M:[1.1667, 1.1667], q:[0.4167, 0.4167], qb:[0.4167, 0.75], phi:[0.5]] | t^2.5 + t^3. + 5*t^3.5 + 6*t^4. + t^5. + t^5.5 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 461/768, c: 565/768, M1: 7/6, M2: 7/6, q1: 5/12, q2: 5/12, qb1: 5/12, qb2: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45925 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ q_1^2\tilde{q}_1\tilde{q}_2$ | 0.6923 | 0.8496 | 0.8148 | [X:[], M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]] | 4*t^2.95 + t^3. + 2*t^3.05 + t^4.34 + 3*t^4.45 + 6*t^4.55 + 7*t^5.89 + 4*t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |