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 |
|---|---|---|---|---|---|---|---|---|---|
| 46277 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | [X:[], M:[[3], [7], [0]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ M_2\phi_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -1 | t^2.1 + t^2.19 + t^2.27 + t^2.36 + 2*t^2.92 + t^3. + t^3.17 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.37 + 2*t^4.46 + 3*t^4.54 + 2*t^4.63 + 2*t^4.71 + 2*t^5.02 + 2*t^5.1 + 2*t^5.19 + 4*t^5.27 + 2*t^5.36 + t^5.44 + t^5.52 + 4*t^5.83 + 2*t^5.92 - t^6. + 2*t^6.08 + t^6.17 + t^6.31 + t^6.34 + t^6.39 + 2*t^6.48 + 2*t^6.56 + 4*t^6.64 + 5*t^6.73 + 3*t^6.81 + 3*t^6.9 + 3*t^6.98 + 2*t^7.07 + 2*t^7.12 + 2*t^7.21 + 3*t^7.29 + 4*t^7.37 + 5*t^7.46 + 4*t^7.54 + 5*t^7.63 + 3*t^7.71 + t^7.79 + 2*t^7.88 + 4*t^7.93 + 3*t^8.02 + 3*t^8.19 - 2*t^8.36 + t^8.41 + 2*t^8.44 + t^8.49 + 2*t^8.52 + 2*t^8.58 + t^8.61 + 2*t^8.66 + t^8.69 + 9*t^8.75 + 5*t^8.83 - t^8.92 - t^4.46/y - t^6.56/y - t^6.64/y + t^7.29/y + (2*t^7.46)/y + (2*t^7.54)/y + t^7.63/y + (2*t^8.02)/y + (3*t^8.1)/y + (3*t^8.19)/y + (5*t^8.27)/y + (3*t^8.36)/y + t^8.44/y + t^8.52/y - t^8.66/y - t^8.75/y + t^8.83/y + (4*t^8.92)/y - t^4.46*y - t^6.56*y - t^6.64*y + t^7.29*y + 2*t^7.46*y + 2*t^7.54*y + t^7.63*y + 2*t^8.02*y + 3*t^8.1*y + 3*t^8.19*y + 5*t^8.27*y + 3*t^8.36*y + t^8.44*y + t^8.52*y - t^8.66*y - t^8.75*y + t^8.83*y + 4*t^8.92*y | g1^7*t^2.1 + g1^3*t^2.19 + t^2.27/g1 + t^2.36/g1^5 + 2*g1^4*t^2.92 + t^3. + t^3.17/g1^8 + g1*t^3.73 + t^3.81/g1^3 + g1^14*t^4.21 + g1^10*t^4.29 + 2*g1^6*t^4.37 + 2*g1^2*t^4.46 + (3*t^4.54)/g1^2 + (2*t^4.63)/g1^6 + (2*t^4.71)/g1^10 + 2*g1^11*t^5.02 + 2*g1^7*t^5.1 + 2*g1^3*t^5.19 + (4*t^5.27)/g1 + (2*t^5.36)/g1^5 + t^5.44/g1^9 + t^5.52/g1^13 + 4*g1^8*t^5.83 + 2*g1^4*t^5.92 - t^6. + (2*t^6.08)/g1^4 + t^6.17/g1^8 + g1^21*t^6.31 + t^6.34/g1^16 + g1^17*t^6.39 + 2*g1^13*t^6.48 + 2*g1^9*t^6.56 + 4*g1^5*t^6.64 + 5*g1*t^6.73 + (3*t^6.81)/g1^3 + (3*t^6.9)/g1^7 + (3*t^6.98)/g1^11 + (2*t^7.07)/g1^15 + 2*g1^18*t^7.12 + 2*g1^14*t^7.21 + 3*g1^10*t^7.29 + 4*g1^6*t^7.37 + 5*g1^2*t^7.46 + (4*t^7.54)/g1^2 + (5*t^7.63)/g1^6 + (3*t^7.71)/g1^10 + t^7.79/g1^14 + (2*t^7.88)/g1^18 + 4*g1^15*t^7.93 + 3*g1^11*t^8.02 + 3*g1^3*t^8.19 - (2*t^8.36)/g1^5 + g1^28*t^8.41 + (2*t^8.44)/g1^9 + g1^24*t^8.49 + (2*t^8.52)/g1^13 + 2*g1^20*t^8.58 + t^8.61/g1^17 + 2*g1^16*t^8.66 + t^8.69/g1^21 + 9*g1^12*t^8.75 + 5*g1^8*t^8.83 - g1^4*t^8.92 - (g1^2*t^4.46)/y - (g1^9*t^6.56)/y - (g1^5*t^6.64)/y + (g1^10*t^7.29)/y + (2*g1^2*t^7.46)/y + (2*t^7.54)/(g1^2*y) + t^7.63/(g1^6*y) + (2*g1^11*t^8.02)/y + (3*g1^7*t^8.1)/y + (3*g1^3*t^8.19)/y + (5*t^8.27)/(g1*y) + (3*t^8.36)/(g1^5*y) + t^8.44/(g1^9*y) + t^8.52/(g1^13*y) - (g1^16*t^8.66)/y - (g1^12*t^8.75)/y + (g1^8*t^8.83)/y + (4*g1^4*t^8.92)/y - g1^2*t^4.46*y - g1^9*t^6.56*y - g1^5*t^6.64*y + g1^10*t^7.29*y + 2*g1^2*t^7.46*y + (2*t^7.54*y)/g1^2 + (t^7.63*y)/g1^6 + 2*g1^11*t^8.02*y + 3*g1^7*t^8.1*y + 3*g1^3*t^8.19*y + (5*t^8.27*y)/g1 + (3*t^8.36*y)/g1^5 + (t^8.44*y)/g1^9 + (t^8.52*y)/g1^13 - g1^16*t^8.66*y - g1^12*t^8.75*y + g1^8*t^8.83*y + 4*g1^4*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 46763 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[0.7318, 0.7075, 1.0, 1.2682], q:[0.7561, 0.5122], qb:[0.5365, 0.2439], phi:[0.4878]] | t^2.12 + t^2.27 + t^2.34 + 2*t^2.93 + t^3. + t^3.15 + t^3.73 + 2*t^3.8 + t^4.24 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + 2*t^5.05 + t^5.2 + 4*t^5.27 + t^5.34 + t^5.41 + t^5.49 + 4*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 46555 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_4$ | 0.6062 | 0.7757 | 0.7815 | [X:[], M:[0.7337, 0.7119, 1.0, 1.2881], q:[0.7554, 0.5109], qb:[0.5326, 0.2446], phi:[0.4891]] | t^2.2 + t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.13 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.14 + 2*t^5.2 + 3*t^5.27 + 2*t^5.33 + t^5.4 + t^5.46 + 3*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 46550 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6454 | 0.8481 | 0.761 | [X:[], M:[0.7302, 0.7038, 1.0, 0.7566], q:[0.7566, 0.5132], qb:[0.5396, 0.2434], phi:[0.4868]] | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.81 + t^4.22 + t^4.3 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.7 + 2*t^5.03 + 2*t^5.11 + 4*t^5.19 + 5*t^5.27 + 2*t^5.35 + 2*t^5.43 + t^5.51 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 46643 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6465 | 0.8511 | 0.7596 | [X:[], M:[0.7263, 0.6947, 1.0, 0.7263], q:[0.7579, 0.5158], qb:[0.5474, 0.2421], phi:[0.4842]] | t^2.08 + 2*t^2.18 + t^2.27 + t^2.37 + 2*t^2.91 + t^3. + t^3.19 + t^3.73 + t^4.17 + 2*t^4.26 + 4*t^4.36 + 3*t^4.45 + 4*t^4.55 + 2*t^4.64 + 2*t^4.74 + 2*t^4.99 + 4*t^5.08 + 3*t^5.18 + 4*t^5.27 + 3*t^5.37 + t^5.46 + t^5.56 + 4*t^5.81 + 2*t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 46639 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.6247 | 0.8113 | 0.77 | [X:[], M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | t^2.18 + t^2.22 + t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.74 + t^3.78 + t^4.35 + t^4.4 + 2*t^4.44 + 2*t^4.48 + 3*t^4.52 + 2*t^4.56 + 2*t^4.6 + t^5.14 + t^5.18 + 2*t^5.22 + 4*t^5.26 + 3*t^5.3 + 2*t^5.34 + t^5.38 + 2*t^5.92 + t^5.96 - t^4.48/y - t^4.48*y | detail | |
| 46416 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.5988 | 0.7622 | 0.7855 | [X:[1.3846], M:[0.6923, 0.6154, 1.0], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 3*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 2631/4394, c: 13397/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
| 46762 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_1X_2$ | 0.5664 | 0.7052 | 0.8031 | [X:[1.4444, 1.3333], M:[0.6667, 0.5556, 1.0], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | t^2.33 + 3*t^2.67 + t^3. + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 3*t^5. + 8*t^5.33 + t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 367/648, c: 457/648, X1: 13/9, X2: 4/3, M1: 2/3, M2: 5/9, M3: 1, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46026 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ | 0.6271 | 0.8146 | 0.7698 | [X:[], M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]] | 2*t^2.13 + 2*t^2.32 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.77 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.03 + 4*t^5.23 + 4*t^5.32 + 2*t^5.52 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail |