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 |
|---|---|---|---|---|---|---|---|---|---|
| 829 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ | 0.7198 | 0.8791 | 0.8188 | [M:[1.0, 1.0979, 0.8041, 0.9108, 0.8933, 1.0], q:[0.5446, 0.4554], qb:[0.5446, 0.6513], phi:[0.451]] | [M:[[0, 0], [2, 2], [-4, -4], [-8, 0], [4, -4], [0, 0]], q:[[4, 0], [-4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$ | ${}M_{1}M_{6}$ | -2 | t^2.412 + t^2.68 + t^2.732 + 2*t^3. + t^3.294 + t^3.588 + t^4.085 + 2*t^4.353 + 3*t^4.621 + t^4.673 + t^4.825 + 2*t^4.941 + t^5.092 + t^5.145 + t^5.261 + t^5.36 + 2*t^5.412 + t^5.465 + t^5.706 + t^5.974 - 2*t^6. + t^6.026 - t^6.268 + 2*t^6.294 - t^6.32 + t^6.498 + t^6.588 + 2*t^6.765 + t^6.818 + t^6.881 + 3*t^7.033 + 3*t^7.085 + t^7.175 + t^7.237 + 3*t^7.301 + 4*t^7.353 + t^7.406 + t^7.505 + t^7.557 + 4*t^7.621 + 2*t^7.673 + t^7.772 + 2*t^7.825 + t^7.877 + t^7.941 + t^7.993 + t^8.04 + t^8.092 + t^8.119 + t^8.171 + t^8.197 + t^8.208 + t^8.261 + t^8.386 - 4*t^8.412 + 3*t^8.439 + t^8.528 + t^8.654 - 6*t^8.68 + 5*t^8.706 - 5*t^8.732 + 2*t^8.759 + t^8.848 + t^8.91 - t^8.948 + 4*t^8.974 - t^4.353/y - t^6.765/y - t^7.033/y - t^7.085/y + t^7.621/y + t^7.673/y + t^7.941/y + t^8.092/y + t^8.145/y + (3*t^8.412)/y + (2*t^8.68)/y + t^8.706/y + (2*t^8.732)/y + t^8.974/y - t^4.353*y - t^6.765*y - t^7.033*y - t^7.085*y + t^7.621*y + t^7.673*y + t^7.941*y + t^8.092*y + t^8.145*y + 3*t^8.412*y + 2*t^8.68*y + t^8.706*y + 2*t^8.732*y + t^8.974*y | t^2.412/(g1^4*g2^4) + (g1^4*t^2.68)/g2^4 + t^2.732/g1^8 + 2*t^3. + g1^2*g2^2*t^3.294 + g1^4*g2^4*t^3.588 + t^4.085/(g1^9*g2) + (2*t^4.353)/(g1*g2) + (3*g1^7*t^4.621)/g2 + (g2^3*t^4.673)/g1^5 + t^4.825/(g1^8*g2^8) + 2*g1^3*g2^3*t^4.941 + t^5.092/g2^8 + t^5.145/(g1^12*g2^4) + (g2^7*t^5.261)/g1 + (g1^8*t^5.36)/g2^8 + (2*t^5.412)/(g1^4*g2^4) + t^5.465/g1^16 + t^5.706/(g1^2*g2^2) + (g1^6*t^5.974)/g2^2 - 2*t^6. + (g2^2*t^6.026)/g1^6 - g1^8*t^6.268 + 2*g1^2*g2^2*t^6.294 - (g2^4*t^6.32)/g1^4 + t^6.498/(g1^13*g2^5) + g1^4*g2^4*t^6.588 + (2*t^6.765)/(g1^5*g2^5) + t^6.818/(g1^17*g2) + g1^6*g2^6*t^6.881 + (3*g1^3*t^7.033)/g2^5 + (3*t^7.085)/(g1^9*g2) + g1^8*g2^8*t^7.175 + t^7.237/(g1^12*g2^12) + (3*g1^11*t^7.301)/g2^5 + (4*t^7.353)/(g1*g2) + (g2^3*t^7.406)/g1^13 + t^7.505/(g1^4*g2^12) + t^7.557/(g1^16*g2^8) + (4*g1^7*t^7.621)/g2 + (2*g2^3*t^7.673)/g1^5 + (g1^4*t^7.772)/g2^12 + (2*t^7.825)/(g1^8*g2^8) + t^7.877/(g1^20*g2^4) + g1^3*g2^3*t^7.941 + (g2^7*t^7.993)/g1^9 + (g1^12*t^8.04)/g2^12 + t^8.092/g2^8 + t^8.119/(g1^6*g2^6) + t^8.171/(g1^18*g2^2) + t^8.197/g1^24 + g1^11*g2^3*t^8.208 + (g2^7*t^8.261)/g1 + (g1^2*t^8.386)/g2^6 - (4*t^8.412)/(g1^4*g2^4) + (3*t^8.439)/(g1^10*g2^2) + g1^7*g2^7*t^8.528 + (g1^10*t^8.654)/g2^6 - (6*g1^4*t^8.68)/g2^4 + (5*t^8.706)/(g1^2*g2^2) - (5*t^8.732)/g1^8 + (2*g2^2*t^8.759)/g1^14 + g1^3*g2^11*t^8.848 + t^8.91/(g1^17*g2^9) - (g1^12*t^8.948)/g2^4 + (4*g1^6*t^8.974)/g2^2 - t^4.353/(g1*g2*y) - t^6.765/(g1^5*g2^5*y) - (g1^3*t^7.033)/(g2^5*y) - t^7.085/(g1^9*g2*y) + (g1^7*t^7.621)/(g2*y) + (g2^3*t^7.673)/(g1^5*y) + (g1^3*g2^3*t^7.941)/y + t^8.092/(g2^8*y) + t^8.145/(g1^12*g2^4*y) + (3*t^8.412)/(g1^4*g2^4*y) + (2*g1^4*t^8.68)/(g2^4*y) + t^8.706/(g1^2*g2^2*y) + (2*t^8.732)/(g1^8*y) + (g1^6*t^8.974)/(g2^2*y) - (t^4.353*y)/(g1*g2) - (t^6.765*y)/(g1^5*g2^5) - (g1^3*t^7.033*y)/g2^5 - (t^7.085*y)/(g1^9*g2) + (g1^7*t^7.621*y)/g2 + (g2^3*t^7.673*y)/g1^5 + g1^3*g2^3*t^7.941*y + (t^8.092*y)/g2^8 + (t^8.145*y)/(g1^12*g2^4) + (3*t^8.412*y)/(g1^4*g2^4) + (2*g1^4*t^8.68*y)/g2^4 + (t^8.706*y)/(g1^2*g2^2) + (2*t^8.732*y)/g1^8 + (g1^6*t^8.974*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1304 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6992 | 0.8563 | 0.8165 | [M:[1.0, 1.0272, 0.9457, 1.0543, 0.8914, 1.0], q:[0.4728, 0.5272], qb:[0.4728, 0.5815], phi:[0.4864]] | t^2.674 + t^2.837 + 2*t^3. + t^3.081 + 2*t^3.163 + 3*t^4.296 + 2*t^4.459 + 3*t^4.622 + t^4.785 + t^4.948 + t^5.348 + t^5.511 + t^5.674 + t^5.756 + t^5.837 + t^5.919 - t^6. - t^4.459/y - t^4.459*y | detail | |
| 1308 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.699 | 0.8561 | 0.8165 | [M:[1.0, 1.0262, 0.9476, 0.8953, 1.0524, 1.0], q:[0.5524, 0.4476], qb:[0.5524, 0.5], phi:[0.4869]] | t^2.686 + t^2.843 + 2*t^3. + t^3.079 + 2*t^3.157 + t^4.147 + t^4.304 + 3*t^4.461 + 2*t^4.618 + 3*t^4.775 + t^5.372 + t^5.529 + t^5.686 + t^5.764 + t^5.843 + t^5.921 - t^6. - t^4.461/y - t^4.461*y | detail | |
| 1309 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.7138 | 0.8725 | 0.8181 | [M:[1.0, 1.0782, 0.8436, 1.0, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | 2*t^2.531 + 3*t^3. + t^3.235 + t^3.469 + 6*t^4.383 + 3*t^4.852 + 3*t^5.061 + t^5.321 + 3*t^5.531 + 2*t^5.765 - 2*t^6. - t^4.383/y - t^4.383*y | detail | |
| 1305 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}^{2}$ | 0.7124 | 0.8709 | 0.818 | [M:[1.0, 1.0712, 0.8576, 0.8576, 1.0, 1.0], q:[0.5712, 0.4288], qb:[0.5712, 0.5712], phi:[0.4644]] | 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. - t^4.393/y - t^4.393*y | detail | |
| 1311 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.737 | 0.9112 | 0.8089 | [M:[1.0, 1.1144, 0.7712, 0.8973, 0.8739, 1.0, 0.7712], q:[0.5513, 0.4487], qb:[0.5513, 0.6775], phi:[0.4428]] | 2*t^2.314 + t^2.622 + t^2.692 + 2*t^3. + t^3.343 + t^4.02 + 2*t^4.328 + 3*t^4.627 + 3*t^4.636 + t^4.707 + 2*t^4.935 + 2*t^5.006 + 2*t^5.015 + t^5.243 + 4*t^5.314 + t^5.384 + t^5.393 + 2*t^5.657 + t^5.965 - 3*t^6. - t^4.328/y - t^4.328*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 |
|---|---|---|---|---|---|---|---|---|---|
| 534 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.7331 | 0.8939 | 0.8201 | [M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 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 |