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 |
|---|---|---|---|---|---|---|---|---|---|
| 48299 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6791 | 0.8471 | 0.8017 | [M:[0.8282, 1.0, 1.1718, 0.7914, 0.7608], q:[0.3957, 0.7761], qb:[0.6043, 0.4326], phi:[0.4478]] | [M:[[3], [0], [-3], [-8], [10]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -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 |
|---|---|---|---|---|---|---|---|---|
| 53080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.6004 | 0.7254 | 0.8277 | [X:[1.4], M:[0.9, 1.0, 1.1, 0.6, 1.0], q:[0.3, 0.8], qb:[0.7, 0.6], phi:[0.4]] | t^2.4 + t^2.7 + 2*t^3. + t^3.3 + 2*t^3.9 + 2*t^4.2 + t^4.5 + t^4.8 + t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 4803/8000, c: 5803/8000, X1: 7/5, M1: 9/10, M2: 1, M3: 11/10, M4: 3/5, M5: 1, q1: 3/10, q2: 4/5, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 55996 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6999 | 0.8874 | 0.7887 | [M:[0.8296, 1.0, 1.1704, 0.7878, 0.7653, 0.6817], q:[0.3939, 0.7765], qb:[0.6061, 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 | |
| 50834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6699 | 0.8329 | 0.8044 | [M:[0.8237, 1.0, 1.1763, 0.8036, 0.7455, 1.0982], q:[0.4018, 0.7746], qb:[0.5982, 0.4219], phi:[0.4509]] | t^2.237 + t^2.411 + t^2.471 + t^3. + t^3.06 + t^3.295 + t^3.529 + t^3.824 + t^3.884 + t^4.118 + t^4.353 + t^4.413 + t^4.473 + t^4.647 + t^4.708 + t^4.821 + t^4.882 + 2*t^4.942 + t^5.237 + t^5.297 + t^5.471 + 2*t^5.531 + t^5.705 + 2*t^5.766 - t^6. - t^4.353/y - t^4.353*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6611 | 0.8138 | 0.8124 | [M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.314 + t^2.507 + t^2.657 + t^3. + t^3.193 + t^3.493 + t^3.643 + t^3.836 + t^4.029 + t^4.179 + t^4.329 + t^4.522 + t^4.628 + t^4.821 + t^4.971 + 2*t^5.014 + t^5.164 + t^5.314 + t^5.507 + t^5.657 + t^5.7 + t^5.85 + t^5.957 - t^6. - t^4.329/y - t^4.329*y | detail |