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 |
|---|---|---|---|---|---|---|---|---|---|
| 44936 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ | 1.833 | 1.9716 | 0.9297 | [X:[], M:[0.8153, 0.8153], q:[0.4458, 0.4458], qb:[], phi:[0.3695]] | [X:[], M:[[-1, 2], [2, -1]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_2$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ q_2^2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_2q_1^2$, $ M_1q_1^2$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ M_1q_2^2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$ | $2\phi_1^3q_1q_2$ | -2 | t^2.22 + 2*t^2.45 + 3*t^2.67 + t^3.78 + 2*t^4.43 + 2*t^4.66 + 9*t^4.89 + 6*t^5.12 + 6*t^5.35 - 2*t^6. + 2*t^6.23 + 3*t^6.46 + 2*t^6.65 + 2*t^6.88 + 9*t^7.11 + 16*t^7.34 + 24*t^7.57 + 12*t^7.79 + 10*t^8.02 - 4*t^8.22 - 6*t^8.45 - 3*t^8.67 + 3*t^8.87 + 6*t^8.9 - t^4.11/y - (2*t^5.45)/y - (2*t^6.33)/y - (2*t^6.55)/y - (3*t^6.78)/y + (3*t^8.35)/y - (3*t^8.54)/y - (2*t^8.77)/y - t^4.11*y - 2*t^5.45*y - 2*t^6.33*y - 2*t^6.55*y - 3*t^6.78*y + 3*t^8.35*y - 3*t^8.54*y - 2*t^8.77*y | t^2.22/(g1^2*g2^2) + (g1^2*t^2.45)/g2 + (g2^2*t^2.45)/g1 + g1^6*t^2.67 + g1^3*g2^3*t^2.67 + g2^6*t^2.67 + g1^2*g2^2*t^3.78 + (2*t^4.43)/(g1^4*g2^4) + t^4.66/g1^3 + t^4.66/g2^3 + (3*g1^4*t^4.89)/g2^2 + 3*g1*g2*t^4.89 + (3*g2^4*t^4.89)/g1^2 + (g1^8*t^5.12)/g2 + 2*g1^5*g2^2*t^5.12 + 2*g1^2*g2^5*t^5.12 + (g2^8*t^5.12)/g1 + g1^12*t^5.35 + g1^9*g2^3*t^5.35 + 2*g1^6*g2^6*t^5.35 + g1^3*g2^9*t^5.35 + g2^12*t^5.35 - (g1^3*t^6.)/g2^3 - (g2^3*t^6.)/g1^3 + g1^4*g2*t^6.23 + g1*g2^4*t^6.23 + g1^8*g2^2*t^6.46 + g1^5*g2^5*t^6.46 + g1^2*g2^8*t^6.46 + (2*t^6.65)/(g1^6*g2^6) + t^6.88/(g1^2*g2^5) + t^6.88/(g1^5*g2^2) + (3*g1^2*t^7.11)/g2^4 + (3*t^7.11)/(g1*g2) + (3*g2^2*t^7.11)/g1^4 + 5*g1^3*t^7.34 + (3*g1^6*t^7.34)/g2^3 + 5*g2^3*t^7.34 + (3*g2^6*t^7.34)/g1^3 + (3*g1^10*t^7.57)/g2^2 + 5*g1^7*g2*t^7.57 + 8*g1^4*g2^4*t^7.57 + 5*g1*g2^7*t^7.57 + (3*g2^10*t^7.57)/g1^2 + (g1^14*t^7.79)/g2 + 2*g1^11*g2^2*t^7.79 + 3*g1^8*g2^5*t^7.79 + 3*g1^5*g2^8*t^7.79 + 2*g1^2*g2^11*t^7.79 + (g2^14*t^7.79)/g1 + g1^18*t^8.02 + g1^15*g2^3*t^8.02 + 2*g1^12*g2^6*t^8.02 + 2*g1^9*g2^9*t^8.02 + 2*g1^6*g2^12*t^8.02 + g1^3*g2^15*t^8.02 + g2^18*t^8.02 - (2*g1*t^8.22)/g2^5 - (2*g2*t^8.22)/g1^5 - (g1^5*t^8.45)/g2^4 - (2*g1^2*t^8.45)/g2 - (2*g2^2*t^8.45)/g1 - (g2^5*t^8.45)/g1^4 - (g1^9*t^8.67)/g2^3 - g1^3*g2^3*t^8.67 - (g2^9*t^8.67)/g1^3 + (3*t^8.87)/(g1^8*g2^8) + g1^10*g2*t^8.9 + 2*g1^7*g2^4*t^8.9 + 2*g1^4*g2^7*t^8.9 + g1*g2^10*t^8.9 - t^4.11/(g1*g2*y) - (g1^2*t^5.45)/(g2*y) - (g2^2*t^5.45)/(g1*y) - (2*t^6.33)/(g1^3*g2^3*y) - (g1*t^6.55)/(g2^2*y) - (g2*t^6.55)/(g1^2*y) - (g1^5*t^6.78)/(g2*y) - (g1^2*g2^2*t^6.78)/y - (g2^5*t^6.78)/(g1*y) + (g1^9*g2^3*t^8.35)/y + (g1^6*g2^6*t^8.35)/y + (g1^3*g2^9*t^8.35)/y - (3*t^8.54)/(g1^5*g2^5*y) - t^8.77/(g1*g2^4*y) - t^8.77/(g1^4*g2*y) - (t^4.11*y)/(g1*g2) - (g1^2*t^5.45*y)/g2 - (g2^2*t^5.45*y)/g1 - (2*t^6.33*y)/(g1^3*g2^3) - (g1*t^6.55*y)/g2^2 - (g2*t^6.55*y)/g1^2 - (g1^5*t^6.78*y)/g2 - g1^2*g2^2*t^6.78*y - (g2^5*t^6.78*y)/g1 + g1^9*g2^3*t^8.35*y + g1^6*g2^6*t^8.35*y + g1^3*g2^9*t^8.35*y - (3*t^8.54*y)/(g1^5*g2^5) - (t^8.77*y)/(g1*g2^4) - (t^8.77*y)/(g1^4*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45020 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ | 1.73 | 1.8196 | 0.9507 | [X:[1.3915], M:[0.7831, 0.9127], q:[0.6085, 0.4788], qb:[], phi:[0.3042]] | t^2.35 + t^2.74 + t^2.87 + t^3.26 + 2*t^3.65 + 2*t^4.17 + 2*t^4.7 + 2*t^5.09 + t^5.22 + 2*t^5.48 + t^5.61 + t^5.75 + t^6. - t^3.91/y - t^5.35/y - (2*t^5.74)/y - t^3.91*y - t^5.35*y - 2*t^5.74*y | detail | |
| 45057 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ | 1.8013 | 1.9303 | 0.9332 | [X:[], M:[0.76, 0.896], q:[0.552, 0.416], qb:[], phi:[0.344]] | t^2.06 + t^2.28 + t^2.5 + t^2.69 + t^2.9 + t^3.31 + t^3.94 + 2*t^4.13 + t^4.34 + 3*t^4.56 + t^4.75 + t^4.78 + 3*t^4.97 + t^4.99 + 2*t^5.18 + 3*t^5.38 + t^5.4 + t^5.59 + 2*t^5.81 + t^6. - t^4.03/y - t^5.28/y - t^5.69/y - t^4.03*y - t^5.28*y - t^5.69*y | detail | |
| 45059 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ | 1.8136 | 1.9371 | 0.9363 | [X:[], M:[0.814, 0.814, 1.2562], q:[0.4421, 0.4421], qb:[], phi:[0.3719]] | 2*t^2.44 + 3*t^2.65 + 2*t^3.77 + t^4.46 + 6*t^4.88 + 6*t^5.09 + 6*t^5.31 - 3*t^6. - t^4.12/y - (2*t^5.44)/y - t^4.12*y - 2*t^5.44*y | detail | |
| 45076 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3q_1q_2$ | 1.8242 | 1.9545 | 0.9334 | [X:[], M:[0.8194, 0.8194, 1.0835], q:[0.4582, 0.4582], qb:[], phi:[0.3612]] | t^2.17 + 2*t^2.46 + 2*t^2.75 + t^3.25 + t^3.83 + 2*t^4.33 + 2*t^4.63 + 8*t^4.92 + 4*t^5.21 + t^5.42 + 3*t^5.5 + 2*t^5.71 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y | detail | |
| 45052 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ \phi_1^4$ + $ q_1^2X_1$ + $ q_1q_2X_2$ + $ q_2^2X_3$ | 1.5117 | 1.6055 | 0.9416 | [X:[1.5, 1.5, 1.5], M:[0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.5]] | 2*t^2.25 + 2*t^3. + 9*t^4.5 + 4*t^5.25 - t^4.5/y - (2*t^5.25)/y - t^4.5*y - 2*t^5.25*y | detail | {a: 387/256, c: 411/256, X1: 3/2, X2: 3/2, X3: 3/2, M1: 3/4, M2: 3/4, q1: 1/4, q2: 1/4, phi1: 1/2} |
| 45042 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ q_1q_2^3$ | 1.8181 | 1.9467 | 0.9339 | [X:[], M:[0.8578, 0.7991], q:[0.456, 0.5147], qb:[], phi:[0.3431]] | t^2.06 + t^2.4 + t^2.57 + t^2.74 + t^2.91 + t^3.09 + t^3.94 + 2*t^4.12 + t^4.46 + t^4.63 + 3*t^4.79 + 3*t^4.97 + t^5.13 + 3*t^5.15 + 2*t^5.31 + t^5.47 + 2*t^5.49 + t^5.65 + t^5.66 + t^5.82 + t^6. - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44918 | SO5adj1nf2 | $M_1\phi_1^2q_1$ | 1.8177 | 1.9448 | 0.9347 | [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] | t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y | detail | |
| 44919 | SO5adj1nf2 | $M_1\phi_1^2$ | 1.7824 | 1.8817 | 0.9472 | [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] | 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |