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 |
|---|---|---|---|---|---|---|---|---|---|
| 57281 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4595 | 1.647 | 0.8862 | [X:[1.359], M:[0.9229, 0.9229], q:[0.5185, 0.5185], qb:[0.4815, 0.5586], phi:[0.3205]] | [X:[[0, 0, 2]], M:[[-1, -1, 0], [1, 1, -12]], q:[[-1, -2, 12], [1, 0, 0]], qb:[[0, 1, -6], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.769 + t^2.884 + 2*t^3. + 2*t^3.961 + t^4.077 + 2*t^4.193 + 2*t^4.923 + 2*t^5.154 + t^5.526 + 3*t^5.538 + 2*t^5.628 + 2*t^5.653 + t^5.757 + 4*t^5.769 + 2*t^5.884 - 3*t^6. - t^6.231 + t^6.488 + 2*t^6.589 + t^6.719 + 3*t^6.73 + 4*t^6.846 + 4*t^6.961 + 4*t^7.077 + 3*t^7.193 + t^7.218 - t^7.435 + t^7.449 + 4*t^7.551 - 2*t^7.565 - t^7.666 + t^7.68 + 3*t^7.692 + 2*t^7.807 + t^7.912 + 7*t^7.923 + 2*t^8.039 + 7*t^8.154 + 4*t^8.306 + 3*t^8.385 + t^8.411 + 3*t^8.422 + 2*t^8.512 + 6*t^8.538 + t^8.642 + 4*t^8.653 - 4*t^8.769 + 2*t^8.884 + t^8.884/y^2 - t^3.961/y - t^4.923/y - (2*t^6.73)/y - t^6.846/y - (2*t^6.961)/y - (2*t^7.692)/y - t^7.807/y - (2*t^7.923)/y + t^8.538/y + (2*t^8.653)/y + (4*t^8.769)/y - t^3.961*y - t^4.923*y - 2*t^6.73*y - t^6.846*y - 2*t^6.961*y - 2*t^7.692*y - t^7.807*y - 2*t^7.923*y + t^8.538*y + 2*t^8.653*y + 4*t^8.769*y + t^8.884*y^2 | t^2.769/(g1*g2) + (g1*g2*t^2.769)/g3^12 + t^2.884/g3^3 + (g1*g2*t^3.)/g3^6 + (g3^6*t^3.)/(g1*g2) + (g1*g2*t^3.961)/g3^7 + (g3^5*t^3.961)/(g1*g2) + g3^2*t^4.077 + (g1*g2*t^4.193)/g3 + (g3^11*t^4.193)/(g1*g2) + (g1*g2*t^4.923)/g3^8 + (g3^4*t^4.923)/(g1*g2) + (g1*g2*t^5.154)/g3^2 + (g3^10*t^5.154)/(g1*g2) + (g2^3*t^5.526)/g3^13 + t^5.538/(g1^2*g2^2) + (g1^2*g2^2*t^5.538)/g3^24 + t^5.538/g3^12 + (g1*g3^11*t^5.628)/g2^2 + (g3^23*t^5.628)/(g1*g2^4) + (g1*g2*t^5.653)/g3^15 + t^5.653/(g1*g2*g3^3) + (g2^3*t^5.757)/g3^7 + (g1^2*g2^2*t^5.769)/g3^18 + (2*t^5.769)/g3^6 + (g3^6*t^5.769)/(g1^2*g2^2) + (g1*g2*t^5.884)/g3^9 + (g3^3*t^5.884)/(g1*g2) - 3*t^6. - g3^6*t^6.231 + (g2^3*t^6.488)/g3^14 + (g1*g3^10*t^6.589)/g2^2 + (g3^22*t^6.589)/(g1*g2^4) + (g2^3*t^6.719)/g3^8 + (g1^2*g2^2*t^6.73)/g3^19 + t^6.73/g3^7 + (g3^5*t^6.73)/(g1^2*g2^2) + (2*g1*g2*t^6.846)/g3^10 + (2*g3^2*t^6.846)/(g1*g2) + (g1^2*g2^2*t^6.961)/g3^13 + (2*t^6.961)/g3 + (g3^11*t^6.961)/(g1^2*g2^2) + (2*g1*g2*t^7.077)/g3^4 + (2*g3^8*t^7.077)/(g1*g2) + (g1^2*g2^2*t^7.193)/g3^7 + g3^5*t^7.193 + (g3^17*t^7.193)/(g1^2*g2^2) + (g2^3*t^7.218)/g3^21 - (g3^12*t^7.435)/g2^3 + (g2^3*t^7.449)/g3^15 + (g1^3*t^7.551)/g3^3 + (g1*g3^9*t^7.551)/g2^2 + (g3^21*t^7.551)/(g1*g2^4) + (g3^33*t^7.551)/(g1^3*g2^6) - (g1*g2^4*t^7.565)/g3^18 - (g2^2*t^7.565)/(g1*g3^6) - (g3^18*t^7.666)/g2^3 + (g2^3*t^7.68)/g3^9 + (g1^2*g2^2*t^7.692)/g3^20 + t^7.692/g3^8 + (g3^4*t^7.692)/(g1^2*g2^2) + (g1*g2*t^7.807)/g3^11 + (g3*t^7.807)/(g1*g2) + (g2^3*t^7.912)/g3^3 + (2*g1^2*g2^2*t^7.923)/g3^14 + (3*t^7.923)/g3^2 + (2*g3^10*t^7.923)/(g1^2*g2^2) + (g1*g2*t^8.039)/g3^5 + (g3^7*t^8.039)/(g1*g2) + (2*g1^2*g2^2*t^8.154)/g3^8 + 3*g3^4*t^8.154 + (2*g3^16*t^8.154)/(g1^2*g2^2) + t^8.306/(g1^3*g2^3) + (g1^3*g2^3*t^8.306)/g3^36 + (g1*g2*t^8.306)/g3^24 + t^8.306/(g1*g2*g3^12) + (g1^2*g2^2*t^8.385)/g3^2 + g3^10*t^8.385 + (g3^22*t^8.385)/(g1^2*g2^2) + (g2^3*t^8.411)/g3^16 + (g1^2*g2^2*t^8.422)/g3^27 + t^8.422/g3^15 + t^8.422/(g1^2*g2^2*g3^3) + (g1*g3^8*t^8.512)/g2^2 + (g3^20*t^8.512)/(g1*g2^4) + (g1^3*g2^3*t^8.538)/g3^30 + (2*g1*g2*t^8.538)/g3^18 + (2*t^8.538)/(g1*g2*g3^6) + (g3^6*t^8.538)/(g1^3*g2^3) + (g2^3*t^8.642)/g3^10 + (g1^2*g2^2*t^8.653)/g3^21 + (2*t^8.653)/g3^9 + (g3^3*t^8.653)/(g1^2*g2^2) - (2*t^8.769)/(g1*g2) - (2*g1*g2*t^8.769)/g3^12 + (g1^2*g2^2*t^8.884)/g3^15 + (g3^9*t^8.884)/(g1^2*g2^2) + t^8.884/(g3^3*y^2) - t^3.961/(g3*y) - t^4.923/(g3^2*y) - (g1*g2*t^6.73)/(g3^13*y) - t^6.73/(g1*g2*g3*y) - t^6.846/(g3^4*y) - (g1*g2*t^6.961)/(g3^7*y) - (g3^5*t^6.961)/(g1*g2*y) - (g1*g2*t^7.692)/(g3^14*y) - t^7.692/(g1*g2*g3^2*y) - t^7.807/(g3^5*y) - (g1*g2*t^7.923)/(g3^8*y) - (g3^4*t^7.923)/(g1*g2*y) + t^8.538/(g3^12*y) + (g1*g2*t^8.653)/(g3^15*y) + t^8.653/(g1*g2*g3^3*y) + (g1^2*g2^2*t^8.769)/(g3^18*y) + (2*t^8.769)/(g3^6*y) + (g3^6*t^8.769)/(g1^2*g2^2*y) - (t^3.961*y)/g3 - (t^4.923*y)/g3^2 - (g1*g2*t^6.73*y)/g3^13 - (t^6.73*y)/(g1*g2*g3) - (t^6.846*y)/g3^4 - (g1*g2*t^6.961*y)/g3^7 - (g3^5*t^6.961*y)/(g1*g2) - (g1*g2*t^7.692*y)/g3^14 - (t^7.692*y)/(g1*g2*g3^2) - (t^7.807*y)/g3^5 - (g1*g2*t^7.923*y)/g3^8 - (g3^4*t^7.923*y)/(g1*g2) + (t^8.538*y)/g3^12 + (g1*g2*t^8.653*y)/g3^15 + (t^8.653*y)/(g1*g2*g3^3) + (g1^2*g2^2*t^8.769*y)/g3^18 + (2*t^8.769*y)/g3^6 + (g3^6*t^8.769*y)/(g1^2*g2^2) + (t^8.884*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57988 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4534 | 1.6409 | 0.8857 | [X:[1.3668], M:[0.8794, 0.9196], q:[0.5343, 0.5745], qb:[0.4456, 0.5461], phi:[0.3166]] | t^2.64 + t^2.76 + t^2.85 + t^2.94 + t^3.06 + t^3.89 + t^4.01 + t^4.1 + t^4.19 + t^4.31 + t^4.84 + t^4.96 + t^5.14 + 2*t^5.26 + t^5.28 + t^5.4 + t^5.49 + t^5.52 + t^5.56 + t^5.58 + t^5.61 + 2*t^5.7 + t^5.79 + t^5.82 + t^5.88 + t^5.91 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y | detail | |
| 57990 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4574 | 1.6449 | 0.886 | [X:[1.3684], M:[0.8949, 0.8949], q:[0.5086, 0.5086], qb:[0.4914, 0.5964], phi:[0.3158]] | 2*t^2.68 + t^2.84 + 2*t^3. + 2*t^3.95 + t^4.11 + 2*t^4.26 + 2*t^4.89 + 2*t^5.21 + 3*t^5.37 + 4*t^5.53 + 5*t^5.68 + 2*t^5.84 - 2*t^6. - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y | detail | |
| 57987 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4462 | 1.6337 | 0.8852 | [X:[1.3641], M:[0.9077, 0.9077], q:[0.4701, 0.4701], qb:[0.5299, 0.6222], phi:[0.318]] | 2*t^2.72 + t^2.86 + 2*t^3. + 2*t^3.95 + t^4.09 + 2*t^4.23 + 2*t^4.91 + 4*t^5.18 + 3*t^5.45 + 2*t^5.58 + 4*t^5.72 + 2*t^5.86 - 2*t^6. - t^3.95/y - t^4.91/y - t^3.95*y - t^4.91*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47886 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |