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 |
|---|---|---|---|---|---|---|---|---|---|
| 47015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7124 | 0.8709 | 0.818 | [M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]] | [M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$ | ${}M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. + 3*t^6.214 + 2*t^6.539 + t^6.641 + t^6.854 + 6*t^6.966 + 10*t^7.393 + 4*t^7.719 + 9*t^7.82 + t^7.932 + 3*t^8.146 + 3*t^8.247 + 6*t^8.359 - 8*t^8.573 + 9*t^8.786 - t^4.393/y - (2*t^6.966)/y + (2*t^7.82)/y + t^8.146/y + (6*t^8.573)/y + (2*t^8.786)/y - t^4.393*y - 2*t^6.966*y + 2*t^7.82*y + t^8.146*y + 6*t^8.573*y + 2*t^8.786*y | t^2.573/(g1^2*g2^6) + t^2.573/(g1^6*g2^2) + t^3. + (g1^2*t^3.)/g2^2 + (g2^2*t^3.)/g1^2 + g1^2*g2^2*t^3.214 + g1^4*g2^4*t^3.427 + t^3.966/(g1^5*g2^5) + (g1*t^4.393)/g2^3 + t^4.393/(g1*g2) + (g2*t^4.393)/g1^3 + (g1^7*t^4.82)/g2 + g1^5*g2*t^4.82 + 2*g1^3*g2^3*t^4.82 + g1*g2^5*t^4.82 + (g2^7*t^4.82)/g1 + t^5.146/(g1^4*g2^12) + t^5.146/(g1^8*g2^8) + t^5.146/(g1^12*g2^4) + t^5.573/g1^8 + t^5.573/g2^8 + t^5.573/(g1^4*g2^4) + t^5.786/g1^4 + t^5.786/g2^4 - 2*t^6. + g1^4*t^6.214 + g1^2*g2^2*t^6.214 + g2^4*t^6.214 + t^6.539/(g1^7*g2^11) + t^6.539/(g1^11*g2^7) + g1^6*g2^6*t^6.641 + g1^8*g2^8*t^6.854 + t^6.966/(g1*g2^9) + t^6.966/(g1^3*g2^7) + (2*t^6.966)/(g1^5*g2^5) + t^6.966/(g1^7*g2^3) + t^6.966/(g1^9*g2) + (g1^5*t^7.393)/g2^7 + (g1^3*t^7.393)/g2^5 + (2*g1*t^7.393)/g2^3 + (2*t^7.393)/(g1*g2) + (2*g2*t^7.393)/g1^3 + (g2^3*t^7.393)/g1^5 + (g2^5*t^7.393)/g1^7 + t^7.719/(g1^6*g2^18) + t^7.719/(g1^10*g2^14) + t^7.719/(g1^14*g2^10) + t^7.719/(g1^18*g2^6) + (g1^9*t^7.82)/g2^3 + (g1^7*t^7.82)/g2 + 2*g1^5*g2*t^7.82 + g1^3*g2^3*t^7.82 + 2*g1*g2^5*t^7.82 + (g2^7*t^7.82)/g1 + (g2^9*t^7.82)/g1^3 + t^7.932/(g1^10*g2^10) + t^8.146/(g1^2*g2^14) + t^8.146/(g1^6*g2^10) - t^8.146/(g1^8*g2^8) + t^8.146/(g1^10*g2^6) + t^8.146/(g1^14*g2^2) + g1^11*g2^3*t^8.247 + g1^7*g2^7*t^8.247 + g1^3*g2^11*t^8.247 + t^8.359/(g1^2*g2^10) + t^8.359/(g1^4*g2^8) + (2*t^8.359)/(g1^6*g2^6) + t^8.359/(g1^8*g2^4) + t^8.359/(g1^10*g2^2) - (3*t^8.573)/(g1^2*g2^6) - (2*t^8.573)/(g1^4*g2^4) - (3*t^8.573)/(g1^6*g2^2) + t^8.786/g1^4 + (2*g1^2*t^8.786)/g2^6 + t^8.786/g2^4 + (3*t^8.786)/(g1^2*g2^2) + (2*g2^2*t^8.786)/g1^6 - t^4.393/(g1*g2*y) - t^6.966/(g1^3*g2^7*y) - t^6.966/(g1^7*g2^3*y) + (g1^5*g2*t^7.82)/y + (g1*g2^5*t^7.82)/y + t^8.146/(g1^8*g2^8*y) + t^8.573/(g1^8*y) + t^8.573/(g2^8*y) + t^8.573/(g1^2*g2^6*y) + (2*t^8.573)/(g1^4*g2^4*y) + t^8.573/(g1^6*g2^2*y) + t^8.786/(g1^4*y) + t^8.786/(g2^4*y) - (t^4.393*y)/(g1*g2) - (t^6.966*y)/(g1^3*g2^7) - (t^6.966*y)/(g1^7*g2^3) + g1^5*g2*t^7.82*y + g1*g2^5*t^7.82*y + (t^8.146*y)/(g1^8*g2^8) + (t^8.573*y)/g1^8 + (t^8.573*y)/g2^8 + (t^8.573*y)/(g1^2*g2^6) + (2*t^8.573*y)/(g1^4*g2^4) + (t^8.573*y)/(g1^6*g2^2) + (t^8.786*y)/g1^4 + (t^8.786*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55251 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7332 | 0.912 | 0.804 | [M:[1.0, 1.0, 1.0, 1.0699, 0.8602, 0.8602, 0.6748], q:[0.4301, 0.5699], qb:[0.5699, 0.5699], phi:[0.465]] | t^2.024 + 2*t^2.581 + 3*t^3. + t^3.21 + t^3.419 + t^4.049 + 3*t^4.395 + 2*t^4.605 + 6*t^4.815 + 3*t^5.024 + 3*t^5.161 + t^5.234 + t^5.444 + 3*t^5.581 + 2*t^5.79 - 2*t^6. - t^4.395/y - t^4.395*y | detail | |
| 50878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7261 | 0.8959 | 0.8105 | [M:[1.0, 1.0, 1.0, 1.0866, 0.8268, 0.8268, 0.8268], q:[0.4134, 0.5866], qb:[0.5866, 0.5866], phi:[0.4567]] | 3*t^2.481 + 3*t^3. + t^3.26 + t^3.851 + 3*t^4.37 + 6*t^4.89 + 6*t^4.961 + 6*t^5.481 + 3*t^5.74 - 4*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46441 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.7331 | 0.8939 | 0.8201 | [M:[1.0, 0.8539, 0.8539, 1.1461, 0.8539, 0.8539], q:[0.5, 0.5], qb:[0.6461, 0.6461], phi:[0.427]] | 4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. - t^4.281/y - t^4.281*y | detail |