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 |
|---|---|---|---|---|---|---|---|---|---|
| 50909 | 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_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6029 | 0.7716 | 0.7814 | [X:[1.3804], M:[0.6196, 0.6811, 1.0, 1.0797, 1.0797, 0.7608], q:[0.7699, 0.6105], qb:[0.5489, 0.2301], phi:[0.4601]] | [X:[[6]], M:[[-6], [16], [0], [-4], [-4], [12]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ X_1$, $ M_2M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_2q_2\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_5$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.28 + t^2.34 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.9 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.57 + t^4.62 + 2*t^4.67 + t^4.8 + t^4.86 + 2*t^5.04 + 3*t^5.28 + t^5.34 + 4*t^5.52 + 2*t^5.58 + 2*t^5.76 + t^5.95 - 2*t^6. + t^6.13 + t^6.18 + t^6.24 + t^6.37 + 2*t^6.42 + 3*t^6.48 + 2*t^6.61 + t^6.66 + 2*t^6.72 + 2*t^6.85 + t^6.9 + t^6.96 + 2*t^7.01 + 3*t^7.09 + 2*t^7.14 + 4*t^7.33 + 2*t^7.38 - t^7.43 + 5*t^7.57 + t^7.62 + t^7.67 + 5*t^7.8 + t^7.86 + 3*t^7.91 + t^7.99 + t^8.04 + t^8.15 + t^8.17 + t^8.23 - 3*t^8.34 + t^8.41 + 2*t^8.47 + t^8.52 + t^8.58 + 2*t^8.65 + 2*t^8.71 + 4*t^8.76 + 3*t^8.82 + 2*t^8.89 + 2*t^8.95 - t^4.38/y - t^6.42/y - t^6.66/y + t^7.14/y + t^7.33/y + t^7.38/y + t^7.57/y + t^7.8/y + t^7.86/y + t^8.04/y + t^8.1/y + (3*t^8.28)/y + (2*t^8.34)/y - t^8.47/y + (4*t^8.52)/y + (2*t^8.58)/y - t^8.71/y + (3*t^8.76)/y + t^8.82/y - t^4.38*y - t^6.42*y - t^6.66*y + t^7.14*y + t^7.33*y + t^7.38*y + t^7.57*y + t^7.8*y + t^7.86*y + t^8.04*y + t^8.1*y + 3*t^8.28*y + 2*t^8.34*y - t^8.47*y + 4*t^8.52*y + 2*t^8.58*y - t^8.71*y + 3*t^8.76*y + t^8.82*y | g1^16*t^2.04 + g1^12*t^2.28 + t^2.34/g1^14 + g1^8*t^2.52 + t^3. + (2*t^3.24)/g1^4 + t^3.48/g1^8 + g1^10*t^3.9 + g1^32*t^4.09 + g1^6*t^4.14 + g1^28*t^4.33 + g1^2*t^4.38 + 2*g1^24*t^4.57 + t^4.62/g1^2 + (2*t^4.67)/g1^28 + g1^20*t^4.8 + t^4.86/g1^6 + 2*g1^16*t^5.04 + 3*g1^12*t^5.28 + t^5.34/g1^14 + 4*g1^8*t^5.52 + (2*t^5.58)/g1^18 + 2*g1^4*t^5.76 + g1^26*t^5.95 - 2*t^6. + g1^48*t^6.13 + g1^22*t^6.18 + t^6.24/g1^4 + g1^44*t^6.37 + 2*g1^18*t^6.42 + (3*t^6.48)/g1^8 + 2*g1^40*t^6.61 + g1^14*t^6.66 + (2*t^6.72)/g1^12 + 2*g1^36*t^6.85 + g1^10*t^6.9 + t^6.96/g1^16 + (2*t^7.01)/g1^42 + 3*g1^32*t^7.09 + 2*g1^6*t^7.14 + 4*g1^28*t^7.33 + 2*g1^2*t^7.38 - t^7.43/g1^24 + 5*g1^24*t^7.57 + t^7.62/g1^2 + t^7.67/g1^28 + 5*g1^20*t^7.8 + t^7.86/g1^6 + (3*t^7.91)/g1^32 + g1^42*t^7.99 + g1^16*t^8.04 + t^8.15/g1^36 + g1^64*t^8.17 + g1^38*t^8.23 - (3*t^8.34)/g1^14 + g1^60*t^8.41 + 2*g1^34*t^8.47 + g1^8*t^8.52 + t^8.58/g1^18 + 2*g1^56*t^8.65 + 2*g1^30*t^8.71 + 4*g1^4*t^8.76 + (3*t^8.82)/g1^22 + 2*g1^52*t^8.89 + 2*g1^26*t^8.95 - (g1^2*t^4.38)/y - (g1^18*t^6.42)/y - (g1^14*t^6.66)/y + (g1^6*t^7.14)/y + (g1^28*t^7.33)/y + (g1^2*t^7.38)/y + (g1^24*t^7.57)/y + (g1^20*t^7.8)/y + t^7.86/(g1^6*y) + (g1^16*t^8.04)/y + t^8.1/(g1^10*y) + (3*g1^12*t^8.28)/y + (2*t^8.34)/(g1^14*y) - (g1^34*t^8.47)/y + (4*g1^8*t^8.52)/y + (2*t^8.58)/(g1^18*y) - (g1^30*t^8.71)/y + (3*g1^4*t^8.76)/y + t^8.82/(g1^22*y) - g1^2*t^4.38*y - g1^18*t^6.42*y - g1^14*t^6.66*y + g1^6*t^7.14*y + g1^28*t^7.33*y + g1^2*t^7.38*y + g1^24*t^7.57*y + g1^20*t^7.8*y + (t^7.86*y)/g1^6 + g1^16*t^8.04*y + (t^8.1*y)/g1^10 + 3*g1^12*t^8.28*y + (2*t^8.34*y)/g1^14 - g1^34*t^8.47*y + 4*g1^8*t^8.52*y + (2*t^8.58*y)/g1^18 - g1^30*t^8.71*y + 3*g1^4*t^8.76*y + (t^8.82*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56023 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_2$ | 0.6028 | 0.7711 | 0.7818 | [X:[1.3846], M:[0.6154, 0.6923, 1.0, 1.0769, 1.0769, 0.7692], q:[0.7692, 0.6154], qb:[0.5385, 0.2308], phi:[0.4615]] | t^2.08 + 2*t^2.31 + t^2.54 + t^3. + 2*t^3.23 + t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 2*t^4.85 + 2*t^5.08 + 4*t^5.31 + 6*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 21189/35152, c: 1694/2197, X1: 18/13, M1: 8/13, M2: 9/13, M3: 1, M4: 14/13, M5: 14/13, M6: 10/13, q1: 10/13, q2: 8/13, qb1: 7/13, qb2: 3/13, phi1: 6/13} |
| 56032 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6235 | 0.811 | 0.7688 | [X:[1.382], M:[0.618, 0.6853, 1.0, 1.0787, 1.0787, 0.764, 0.6967], q:[0.7697, 0.6123], qb:[0.545, 0.2303], phi:[0.4607]] | t^2.06 + t^2.09 + t^2.29 + t^2.33 + t^2.53 + t^3. + 2*t^3.24 + t^3.47 + t^4.11 + 2*t^4.15 + t^4.18 + t^4.35 + 2*t^4.38 + t^4.42 + 2*t^4.58 + 2*t^4.62 + 2*t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.09 + 3*t^5.29 + 3*t^5.33 + 4*t^5.53 + 3*t^5.56 + 2*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47055 | 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_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ | 0.5846 | 0.7385 | 0.7916 | [X:[1.3863], M:[0.6137, 0.6968, 1.0, 1.0758, 1.0758], q:[0.7689, 0.6174], qb:[0.5342, 0.2311], phi:[0.4621]] | t^2.09 + t^2.3 + t^2.55 + t^3. + 2*t^3.23 + t^3.45 + t^3.68 + t^3.93 + t^4.16 + t^4.18 + t^4.39 + 2*t^4.59 + t^4.64 + t^4.84 + 2*t^5.09 + t^5.3 + 2*t^5.32 + 2*t^5.52 + 2*t^5.55 + 2*t^5.77 + t^5.98 - 2*t^6. - t^4.39/y - t^4.39*y | detail |