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 |
|---|---|---|---|---|---|---|---|---|---|
| 731 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ | 0.6462 | 0.7871 | 0.821 | [X:[1.3527], M:[1.0402, 1.1562, 0.9598, 0.6473, 0.8438], q:[0.7746, 0.3817], qb:[0.5781, 0.4621], phi:[0.4509]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | . | -1 | t^2.53 + t^2.71 + t^2.88 + t^3.12 + t^3.47 + t^3.64 + t^3.71 + t^3.88 + t^4.06 + t^4.13 + t^4.23 + t^4.47 + t^4.82 + t^5.06 + t^5.24 + t^5.41 + t^5.58 + t^5.83 - t^6. + t^6.17 + t^6.24 + t^6.35 + t^6.42 + t^6.52 + t^6.59 + t^6.66 + t^6.76 + 2*t^6.83 + t^6.94 + t^7. + t^7.11 + t^7.18 + t^7.25 + t^7.29 + t^7.35 + 2*t^7.53 + 2*t^7.59 + t^7.7 + 2*t^7.77 + t^7.84 + t^7.87 + 2*t^7.94 + t^8.01 + t^8.12 + t^8.18 + t^8.25 + t^8.29 + t^8.46 + t^8.6 - t^8.71 - t^8.88 + 2*t^8.95 - t^4.35/y - t^7.06/y + t^7.65/y + t^8.24/y + t^8.41/y + t^8.58/y + t^8.65/y + t^8.83/y - t^4.35*y - t^7.06*y + t^7.65*y + t^8.24*y + t^8.41*y + t^8.58*y + t^8.65*y + t^8.83*y | t^2.53/g1^14 + g1^4*t^2.71 + g1^22*t^2.88 + t^3.12/g1^22 + g1^14*t^3.47 + g1^32*t^3.64 + t^3.71/g1^30 + t^3.88/g1^12 + g1^6*t^4.06 + t^4.13/g1^56 + g1^24*t^4.23 + t^4.47/g1^20 + g1^16*t^4.82 + t^5.06/g1^28 + t^5.24/g1^10 + g1^8*t^5.41 + g1^26*t^5.58 + t^5.83/g1^18 - t^6. + g1^18*t^6.17 + t^6.24/g1^44 + g1^36*t^6.35 + t^6.42/g1^26 + g1^54*t^6.52 + t^6.59/g1^8 + t^6.66/g1^70 + g1^10*t^6.76 + (2*t^6.83)/g1^52 + g1^28*t^6.94 + t^7./g1^34 + g1^46*t^7.11 + t^7.18/g1^16 + t^7.25/g1^78 + g1^64*t^7.29 + g1^2*t^7.35 + 2*g1^20*t^7.53 + (2*t^7.59)/g1^42 + g1^38*t^7.7 + (2*t^7.77)/g1^24 + t^7.84/g1^86 + g1^56*t^7.87 + (2*t^7.94)/g1^6 + t^8.01/g1^68 + g1^12*t^8.12 + t^8.18/g1^50 + t^8.25/g1^112 + g1^30*t^8.29 + g1^48*t^8.46 + t^8.6/g1^76 - g1^4*t^8.71 - g1^22*t^8.88 + (2*t^8.95)/g1^40 - (g1^2*t^4.35)/y - (g1^6*t^7.06)/y + t^7.65/(g1^2*y) + t^8.24/(g1^10*y) + (g1^8*t^8.41)/y + (g1^26*t^8.58)/y + t^8.65/(g1^36*y) + t^8.83/(g1^18*y) - g1^2*t^4.35*y - g1^6*t^7.06*y + (t^7.65*y)/g1^2 + (t^8.24*y)/g1^10 + g1^8*t^8.41*y + g1^26*t^8.58*y + (t^8.65*y)/g1^36 + (t^8.83*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1197 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_2M_6$ | 0.66 | 0.8114 | 0.8134 | [X:[1.3555], M:[1.0297, 1.1629, 0.9703, 0.6445, 0.8371, 0.8371], q:[0.7741, 0.3888], qb:[0.5814, 0.4483], phi:[0.4518]] | 2*t^2.51 + t^2.71 + t^2.91 + t^3.09 + t^3.67 + t^3.69 + t^3.87 + t^4.05 + t^4.07 + t^4.27 + t^4.44 + t^4.84 + 3*t^5.02 + 2*t^5.22 + 2*t^5.42 + t^5.6 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1199 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_3\phi_1^2$ | 0.615 | 0.7592 | 0.81 | [X:[1.3846], M:[0.9231, 1.2308, 1.0769, 0.6154, 0.7692], q:[0.7692, 0.4615], qb:[0.6154, 0.3077], phi:[0.4615]] | t^2.31 + 2*t^2.77 + 3*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 2*t^5.08 + 4*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 10809/17576, c: 1668/2197, X1: 18/13, M1: 12/13, M2: 16/13, M3: 14/13, M4: 8/13, M5: 10/13, q1: 10/13, q2: 6/13, qb1: 8/13, qb2: 4/13, phi1: 6/13} |
| 1200 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6666 | 0.826 | 0.8071 | [X:[1.352], M:[1.0427, 1.1546, 0.9573, 0.648, 0.8454, 0.704], q:[0.7747, 0.3799], qb:[0.5773, 0.4654], phi:[0.4507]] | t^2.11 + t^2.54 + t^2.7 + t^2.87 + t^3.13 + t^3.46 + t^3.63 + t^3.72 + t^4.06 + t^4.14 + 2*t^4.22 + t^4.48 + t^4.65 + 2*t^4.82 + t^4.98 + t^5.07 + 2*t^5.24 + t^5.41 + 2*t^5.58 + t^5.74 + 2*t^5.83 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 1198 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ | 0.6641 | 0.8203 | 0.8096 | [X:[1.3569], M:[1.0247, 1.1661, 0.9753, 0.6431, 0.8339, 0.7632], q:[0.7738, 0.3923], qb:[0.5831, 0.4416], phi:[0.4523]] | t^2.29 + t^2.5 + t^2.71 + t^2.93 + t^3.07 + t^3.5 + t^3.65 + t^3.86 + t^4.01 + t^4.07 + t^4.28 + t^4.43 + t^4.58 + t^4.79 + t^4.86 + 2*t^5. + 2*t^5.22 + t^5.36 + t^5.43 + t^5.64 + 2*t^5.79 + t^5.94 - t^6. - t^4.36/y - t^4.36*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 438 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ | 0.7163 | 0.8881 | 0.8066 | [X:[], M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + t^3.99 + t^4.01 + t^4.02 + 3*t^4.25 + 4*t^4.49 + t^4.51 + t^4.75 + t^4.77 + 4*t^5.01 + t^5.24 + t^5.25 + t^5.27 + t^5.5 + t^5.51 + t^5.53 - t^6. - t^4.25/y - t^4.25*y | detail |