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 |
|---|---|---|---|---|---|---|---|---|---|
| 3845 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ | 0.5943 | 0.7313 | 0.8126 | [X:[1.4327], M:[0.5673, 1.1442, 0.7596, 1.0481, 0.9519, 0.9519, 1.0913], q:[0.7861, 0.6467], qb:[0.5937, 0.262], phi:[0.4279]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [-4], [-34]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_7$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ X_1$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_2M_3$, $ M_5^2$, $ M_5M_6$, $ M_6^2$ | . | -2 | t^2.28 + t^2.57 + 2*t^2.86 + t^3.27 + t^3.43 + t^3.85 + t^4.01 + t^4.14 + t^4.3 + t^4.56 + t^4.85 + 3*t^5.13 + t^5.16 + 2*t^5.42 + t^5.55 + 3*t^5.71 - 2*t^6. + 2*t^6.13 - t^6.16 + t^6.29 + t^6.42 + t^6.55 + 3*t^6.71 + t^6.84 + 2*t^6.87 + t^7.12 - t^7.28 + 4*t^7.41 + 3*t^7.7 + t^7.73 + t^7.83 - t^7.86 + 5*t^7.99 + 2*t^8.02 + t^8.12 + 2*t^8.41 + t^8.57 + t^8.6 + t^8.7 - t^8.73 + t^8.83 - 6*t^8.86 + 5*t^8.99 - t^4.28/y - t^6.56/y + t^7.01/y - t^7.14/y + t^7.43/y - t^7.56/y + t^7.85/y + t^8./y + (2*t^8.13)/y + (2*t^8.42)/y + t^8.55/y + (2*t^8.71)/y - t^4.28*y - t^6.56*y + t^7.01*y - t^7.14*y + t^7.43*y - t^7.56*y + t^7.85*y + t^8.*y + 2*t^8.13*y + 2*t^8.42*y + t^8.55*y + 2*t^8.71*y | t^2.28/g1^20 + t^2.57/g1^12 + (2*t^2.86)/g1^4 + t^3.27/g1^34 + g1^12*t^3.43 + t^3.85/g1^18 + g1^28*t^4.01 + t^4.14/g1^10 + g1^36*t^4.3 + t^4.56/g1^40 + t^4.85/g1^32 + (3*t^5.13)/g1^24 + g1^60*t^5.16 + (2*t^5.42)/g1^16 + t^5.55/g1^54 + (3*t^5.71)/g1^8 - 2*t^6. + (2*t^6.13)/g1^38 - g1^46*t^6.16 + g1^8*t^6.29 + t^6.42/g1^30 + t^6.55/g1^68 + (3*t^6.71)/g1^22 + t^6.84/g1^60 + 2*g1^24*t^6.87 + t^7.12/g1^52 - t^7.28/g1^6 + (4*t^7.41)/g1^44 + (3*t^7.7)/g1^36 + g1^48*t^7.73 + t^7.83/g1^74 - g1^10*t^7.86 + (5*t^7.99)/g1^28 + 2*g1^56*t^8.02 + t^8.12/g1^66 + (2*t^8.41)/g1^58 + t^8.57/g1^12 + g1^72*t^8.6 + t^8.7/g1^50 - g1^34*t^8.73 + t^8.83/g1^88 - (6*t^8.86)/g1^4 + (5*t^8.99)/g1^42 - t^4.28/(g1^6*y) - t^6.56/(g1^26*y) + (g1^28*t^7.01)/y - t^7.14/(g1^10*y) + t^7.43/(g1^2*y) - t^7.56/(g1^40*y) + t^7.85/(g1^32*y) + (g1^14*t^8.)/y + (2*t^8.13)/(g1^24*y) + (2*t^8.42)/(g1^16*y) + t^8.55/(g1^54*y) + (2*t^8.71)/(g1^8*y) - (t^4.28*y)/g1^6 - (t^6.56*y)/g1^26 + g1^28*t^7.01*y - (t^7.14*y)/g1^10 + (t^7.43*y)/g1^2 - (t^7.56*y)/g1^40 + (t^7.85*y)/g1^32 + g1^14*t^8.*y + (2*t^8.13*y)/g1^24 + (2*t^8.42*y)/g1^16 + (t^8.55*y)/g1^54 + (2*t^8.71*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5445 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_2M_8$ | 0.6072 | 0.7542 | 0.8051 | [X:[1.453], M:[0.547, 1.151, 0.7483, 1.0503, 0.9497, 0.9497, 1.0721, 0.849], q:[0.7878, 0.6653], qb:[0.5864, 0.2626], phi:[0.4245]] | t^2.24 + 2*t^2.55 + 2*t^2.85 + t^3.22 + t^3.82 + t^4.06 + t^4.12 + t^4.36 + t^4.49 + 2*t^4.79 + 5*t^5.09 + t^5.27 + 4*t^5.4 + t^5.46 + 2*t^5.7 + t^5.76 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 5458 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_3M_7$ | 0.5881 | 0.7223 | 0.8141 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 10289/17496, c: 6319/8748, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3368 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ | 0.605 | 0.7495 | 0.8072 | [X:[1.3754], M:[0.6246, 1.1251, 0.7914, 1.0417, 0.9583, 0.9583], q:[0.7813, 0.5942], qb:[0.6144, 0.2604], phi:[0.4374]] | t^2.37 + t^2.56 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.88 + t^3.94 + t^4.13 + t^4.19 + t^4.75 + t^4.88 + t^4.94 + t^5. + t^5.13 + t^5.19 + 3*t^5.25 + 2*t^5.44 + 2*t^5.5 + 3*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*y | detail |