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 |
|---|---|---|---|---|---|---|---|---|---|
| 2092 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.282 + t^2.374 + t^2.485 + t^2.687 + t^3. + t^3.111 + t^3.515 + t^3.828 + t^3.939 + t^4.141 + t^4.344 + t^4.454 + t^4.565 + t^4.656 + t^4.748 + t^4.767 + t^4.859 + 3*t^4.969 + t^5.061 + t^5.172 + t^5.282 + t^5.374 + t^5.393 + t^5.485 + t^5.595 + t^5.687 + 2*t^5.798 - t^6. + t^6.111 + t^6.202 + 2*t^6.221 + t^6.313 + 2*t^6.424 + t^6.515 + 2*t^6.626 + t^6.737 + t^6.828 + t^6.847 + 3*t^6.939 + t^7.031 + 2*t^7.05 + t^7.122 + t^7.141 + 3*t^7.252 + 2*t^7.344 + t^7.435 + 3*t^7.454 + t^7.546 + 2*t^7.565 + 3*t^7.656 + t^7.676 + t^7.748 + t^7.767 + 2*t^7.878 + 2*t^7.969 + t^8.061 + 4*t^8.08 - t^8.374 + 2*t^8.393 + 2*t^8.504 + t^8.595 - t^8.687 + 3*t^8.706 + 2*t^8.798 + 5*t^8.908 - t^4.344/y - t^6.626/y - t^6.718/y - t^7.031/y + (2*t^7.656)/y + t^7.767/y + t^7.859/y + (2*t^7.969)/y + (2*t^8.061)/y + t^8.172/y + t^8.282/y + t^8.374/y + t^8.393/y + (2*t^8.485)/y + t^8.595/y + t^8.687/y + (2*t^8.798)/y + t^8.889/y - t^8.908/y - t^4.344*y - t^6.626*y - t^6.718*y - t^7.031*y + 2*t^7.656*y + t^7.767*y + t^7.859*y + 2*t^7.969*y + 2*t^8.061*y + t^8.172*y + t^8.282*y + t^8.374*y + t^8.393*y + 2*t^8.485*y + t^8.595*y + t^8.687*y + 2*t^8.798*y + t^8.889*y - t^8.908*y | g1^10*t^2.282 + t^2.374/g1^8 + g1^3*t^2.485 + t^2.687/g1^4 + t^3. + g1^11*t^3.111 + t^3.515/g1^3 + g1*t^3.828 + g1^12*t^3.939 + g1^5*t^4.141 + t^4.344/g1^2 + g1^9*t^4.454 + g1^20*t^4.565 + g1^2*t^4.656 + t^4.748/g1^16 + g1^13*t^4.767 + t^4.859/g1^5 + 3*g1^6*t^4.969 + t^5.061/g1^12 + t^5.172/g1 + g1^10*t^5.282 + t^5.374/g1^8 + g1^21*t^5.393 + g1^3*t^5.485 + g1^14*t^5.595 + t^5.687/g1^4 + 2*g1^7*t^5.798 - t^6. + g1^11*t^6.111 + t^6.202/g1^7 + 2*g1^22*t^6.221 + g1^4*t^6.313 + 2*g1^15*t^6.424 + t^6.515/g1^3 + 2*g1^8*t^6.626 + g1^19*t^6.737 + g1*t^6.828 + g1^30*t^6.847 + 3*g1^12*t^6.939 + t^7.031/g1^6 + 2*g1^23*t^7.05 + t^7.122/g1^24 + g1^5*t^7.141 + 3*g1^16*t^7.252 + (2*t^7.344)/g1^2 + t^7.435/g1^20 + 3*g1^9*t^7.454 + t^7.546/g1^9 + 2*g1^20*t^7.565 + 3*g1^2*t^7.656 + g1^31*t^7.676 + t^7.748/g1^16 + g1^13*t^7.767 + 2*g1^24*t^7.878 + 2*g1^6*t^7.969 + t^8.061/g1^12 + 4*g1^17*t^8.08 - t^8.374/g1^8 + 2*g1^21*t^8.393 + 2*g1^32*t^8.504 + g1^14*t^8.595 - t^8.687/g1^4 + 3*g1^25*t^8.706 + 2*g1^7*t^8.798 + 5*g1^18*t^8.908 - t^4.344/(g1^2*y) - (g1^8*t^6.626)/y - t^6.718/(g1^10*y) - t^7.031/(g1^6*y) + (2*g1^2*t^7.656)/y + (g1^13*t^7.767)/y + t^7.859/(g1^5*y) + (2*g1^6*t^7.969)/y + (2*t^8.061)/(g1^12*y) + t^8.172/(g1*y) + (g1^10*t^8.282)/y + t^8.374/(g1^8*y) + (g1^21*t^8.393)/y + (2*g1^3*t^8.485)/y + (g1^14*t^8.595)/y + t^8.687/(g1^4*y) + (2*g1^7*t^8.798)/y + t^8.889/(g1^11*y) - (g1^18*t^8.908)/y - (t^4.344*y)/g1^2 - g1^8*t^6.626*y - (t^6.718*y)/g1^10 - (t^7.031*y)/g1^6 + 2*g1^2*t^7.656*y + g1^13*t^7.767*y + (t^7.859*y)/g1^5 + 2*g1^6*t^7.969*y + (2*t^8.061*y)/g1^12 + (t^8.172*y)/g1 + g1^10*t^8.282*y + (t^8.374*y)/g1^8 + g1^21*t^8.393*y + 2*g1^3*t^8.485*y + g1^14*t^8.595*y + (t^8.687*y)/g1^4 + 2*g1^7*t^8.798*y + (t^8.889*y)/g1^11 - g1^18*t^8.908*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3155 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6991 | 0.8842 | 0.7907 | [X:[1.3811], M:[1.0, 0.7903, 0.6189, 1.1714, 0.8286, 0.7621, 0.7238], q:[0.6049, 0.3951], qb:[0.7762, 0.4335], phi:[0.4476]] | t^2.171 + t^2.286 + t^2.371 + t^2.486 + t^2.685 + t^3. + t^3.115 + t^3.514 + t^3.944 + t^4.143 + 2*t^4.343 + 2*t^4.458 + t^4.542 + t^4.573 + 2*t^4.657 + t^4.742 + t^4.772 + 2*t^4.857 + 3*t^4.972 + t^5.056 + 2*t^5.171 + 2*t^5.286 + t^5.371 + t^5.401 + t^5.486 + t^5.601 + 2*t^5.685 + 2*t^5.8 - t^6. - t^4.343/y - t^4.343*y | detail | |
| 3156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | t^2.045 + t^2.296 + t^2.363 + t^2.489 + t^2.682 + t^3. + t^3.125 + t^3.511 + t^3.83 + t^4.09 + t^4.148 + 2*t^4.341 + t^4.408 + t^4.466 + t^4.534 + t^4.592 + t^4.659 + 2*t^4.727 + t^4.785 + t^4.852 + 3*t^4.977 + 2*t^5.045 + 2*t^5.17 + t^5.296 + t^5.363 + t^5.421 + t^5.489 + t^5.556 + t^5.614 + t^5.682 + 2*t^5.807 + t^5.875 - t^6. - t^4.341/y - t^4.341*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 |
|---|---|---|---|---|---|---|---|---|---|
| 951 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y | detail |