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 |
|---|---|---|---|---|---|---|---|---|---|
| 576 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | [X:[], M:[[0], [-4], [4], [-8]], q:[[-3], [3]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_2\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$ | $\phi_1^2q_1\tilde{q}_2$ | 0 | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^6.1 + 2*t^6.2 + t^6.75 + t^6.85 + 2*t^6.95 + 2*t^7.05 + 3*t^7.15 + 3*t^7.25 + 3*t^7.35 + 3*t^7.45 + 3*t^7.55 + 2*t^7.65 + 2*t^7.75 + t^7.81 + 2*t^7.85 + t^7.95 + t^8. + t^8.05 + t^8.1 + t^8.15 + t^8.2 + 2*t^8.3 + 3*t^8.4 + t^8.5 + t^8.6 + 3*t^8.7 - t^8.8 - t^4.45/y - t^7.05/y - t^7.35/y + t^7.55/y + t^7.85/y + t^8.4/y + t^8.5/y + t^8.6/y + (3*t^8.7)/y + (2*t^8.8)/y + (3*t^8.9)/y - t^4.45*y - t^7.05*y - t^7.35*y + t^7.55*y + t^7.85*y + t^8.4*y + t^8.5*y + t^8.6*y + 3*t^8.7*y + 2*t^8.8*y + 3*t^8.9*y | t^2.6/g1^8 + t^2.8/g1^4 + t^2.9/g1^2 + t^3. + 2*g1^2*t^3.1 + g1^4*t^3.2 + t^4.15/g1^7 + t^4.25/g1^5 + t^4.35/g1^3 + t^4.45/g1 + 2*g1*t^4.55 + g1^3*t^4.65 + g1^5*t^4.75 + g1^7*t^4.85 + g1^9*t^4.95 + t^5.2/g1^16 + t^5.4/g1^12 + t^5.5/g1^10 + t^5.6/g1^8 + t^5.7/g1^6 + (2*t^5.8)/g1^4 + t^5.9/g1^2 + g1^2*t^6.1 + 2*g1^4*t^6.2 + t^6.75/g1^15 + t^6.85/g1^13 + (2*t^6.95)/g1^11 + (2*t^7.05)/g1^9 + (3*t^7.15)/g1^7 + (3*t^7.25)/g1^5 + (3*t^7.35)/g1^3 + (3*t^7.45)/g1 + 3*g1*t^7.55 + 2*g1^3*t^7.65 + 2*g1^5*t^7.75 + t^7.81/g1^24 + 2*g1^7*t^7.85 + g1^9*t^7.95 + t^8./g1^20 + g1^11*t^8.05 + t^8.1/g1^18 + g1^13*t^8.15 + t^8.2/g1^16 + (2*t^8.3)/g1^14 + (3*t^8.4)/g1^12 + t^8.5/g1^10 + t^8.6/g1^8 + (3*t^8.7)/g1^6 - t^8.8/g1^4 - t^4.45/(g1*y) - t^7.05/(g1^9*y) - t^7.35/(g1^3*y) + (g1*t^7.55)/y + (g1^7*t^7.85)/y + t^8.4/(g1^12*y) + t^8.5/(g1^10*y) + t^8.6/(g1^8*y) + (3*t^8.7)/(g1^6*y) + (2*t^8.8)/(g1^4*y) + (3*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.05*y)/g1^9 - (t^7.35*y)/g1^3 + g1*t^7.55*y + g1^7*t^7.85*y + (t^8.4*y)/g1^12 + (t^8.5*y)/g1^10 + (t^8.6*y)/g1^8 + (3*t^8.7*y)/g1^6 + (2*t^8.8*y)/g1^4 + (3*t^8.9*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 892 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[1.0, 0.9425, 1.0575, 0.885, 1.0287], q:[0.4569, 0.5431], qb:[0.4856, 0.5718], phi:[0.4856]] | t^2.66 + t^2.83 + t^3. + 3*t^3.09 + t^3.17 + t^4.2 + t^4.28 + t^4.37 + t^4.46 + 2*t^4.54 + t^4.63 + t^4.72 + t^4.8 + t^4.89 + t^5.31 + t^5.48 + t^5.66 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1923 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5625 | 0.6964 | 0.8077 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.2857, 0.7143], qb:[0.4286, 0.8571], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + 3*t^5.14 + 3*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 9/16, c: 39/56, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 2/7, q2: 5/7, qb1: 3/7, qb2: 6/7, phi1: 3/7} |
| 1924 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4X_1$ | 0.6173 | 0.7562 | 0.8163 | [X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556], q:[0.3333, 0.6667], qb:[0.4444, 0.7778], phi:[0.4444]] | t^2.33 + t^2.67 + t^3. + 3*t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5.33 + 3*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 50/81, c: 245/324, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, q1: 1/3, q2: 2/3, qb1: 4/9, qb2: 7/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |