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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.74 | 0.9227 | 0.802 | [M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | [M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -2 | t^2.079 + 2*t^2.537 + t^2.768 + 3*t^3. + t^3.463 + t^4.158 + 3*t^4.384 + 2*t^4.616 + 7*t^4.847 + 3*t^5.073 + 3*t^5.079 + 2*t^5.305 + 4*t^5.537 + t^5.542 + 3*t^5.768 - 2*t^6. + t^6.232 + t^6.237 + 2*t^6.463 + 2*t^6.695 + 3*t^6.921 + 8*t^6.927 + 5*t^7.153 + 3*t^7.158 + 11*t^7.384 + 4*t^7.61 + 7*t^7.616 + t^7.622 + 3*t^7.842 + 12*t^7.847 + 5*t^8.073 - 8*t^8.079 + 4*t^8.305 + 4*t^8.311 + t^8.317 - 5*t^8.537 + 2*t^8.542 - 2*t^8.768 + 2*t^8.774 - t^4.384/y - t^6.463/y - (2*t^6.921)/y - t^7.153/y + (3*t^7.616)/y + (3*t^7.847)/y + t^8.073/y + (3*t^8.079)/y + (3*t^8.305)/y + (6*t^8.537)/y + (3*t^8.768)/y - t^4.384*y - t^6.463*y - 2*t^6.921*y - t^7.153*y + 3*t^7.616*y + 3*t^7.847*y + t^8.073*y + 3*t^8.079*y + 3*t^8.305*y + 6*t^8.537*y + 3*t^8.768*y | t^2.079/g1^5 + (g1^2*t^2.537)/g2 + g1^6*g2*t^2.537 + g1^2*t^2.768 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.463/g1^4 + t^4.158/g1^10 + g1*t^4.384 + t^4.384/(g1*g2) + g1^3*g2*t^4.384 + t^4.616/(g1^3*g2) + g1*g2*t^4.616 + (3*t^4.847)/g1^3 + t^4.847/(g1^7*g2^2) + t^4.847/(g1^5*g2) + (g2*t^4.847)/g1 + g1*g2^2*t^4.847 + g1^8*t^5.073 + (g1^4*t^5.073)/g2^2 + g1^12*g2^2*t^5.073 + t^5.079/g1^5 + t^5.079/(g1^7*g2) + (g2*t^5.079)/g1^3 + (g1^4*t^5.305)/g2 + g1^8*g2*t^5.305 + 2*g1^4*t^5.537 + t^5.537/g2^2 + g1^8*g2^2*t^5.537 + t^5.542/g1^9 + g1^2*t^5.768 + t^5.768/g2 + g1^4*g2*t^5.768 - 2*t^6. + t^6.232/g1^2 + t^6.237/g1^15 + t^6.463/(g1^6*g2) + (g2*t^6.463)/g1^2 + t^6.695/(g1^8*g2) + (g2*t^6.695)/g1^4 + g1^5*t^6.921 + (g1*t^6.921)/g2^2 + g1^9*g2^2*t^6.921 + (4*t^6.927)/g1^8 + t^6.927/(g1^12*g2^2) + t^6.927/(g1^10*g2) + (g2*t^6.927)/g1^6 + (g2^2*t^6.927)/g1^4 + g1^3*t^7.153 + t^7.153/(g1*g2^2) + (g1*t^7.153)/g2 + g1^5*g2*t^7.153 + g1^7*g2^2*t^7.153 + t^7.158/g1^10 + t^7.158/(g1^12*g2) + (g2*t^7.158)/g1^8 + g1*t^7.384 + t^7.384/(g1^5*g2^3) + t^7.384/(g1^3*g2^2) + (3*t^7.384)/(g1*g2) + 3*g1^3*g2*t^7.384 + g1^5*g2^2*t^7.384 + g1^7*g2^3*t^7.384 + (g1^6*t^7.61)/g2^3 + (g1^10*t^7.61)/g2 + g1^14*g2*t^7.61 + g1^18*g2^3*t^7.61 + (3*t^7.616)/g1 + (2*t^7.616)/(g1^5*g2^2) + 2*g1^3*g2^2*t^7.616 + t^7.622/g1^14 + g1^10*t^7.842 + (g1^6*t^7.842)/g2^2 + g1^14*g2^2*t^7.842 + (2*t^7.847)/g1^3 + t^7.847/(g1^9*g2^3) + t^7.847/(g1^7*g2^2) + (3*t^7.847)/(g1^5*g2) + (3*g2*t^7.847)/g1 + g1*g2^2*t^7.847 + g1^3*g2^3*t^7.847 - g1^8*t^8.073 + (g1^2*t^8.073)/g2^3 + (2*g1^6*t^8.073)/g2 + 2*g1^10*g2*t^8.073 + g1^14*g2^3*t^8.073 - (4*t^8.079)/g1^5 - t^8.079/(g1^9*g2^2) - t^8.079/(g1^7*g2) - (g2*t^8.079)/g1^3 - (g2^2*t^8.079)/g1 + 2*g1^6*t^8.305 + (g1^2*t^8.305)/g2^2 + g1^10*g2^2*t^8.305 + (2*t^8.311)/g1^7 + t^8.311/(g1^11*g2^2) + (g2^2*t^8.311)/g1^3 + t^8.317/g1^20 - g1^4*t^8.537 - (2*g1^2*t^8.537)/g2 - 2*g1^6*g2*t^8.537 + t^8.542/(g1^11*g2) + (g2*t^8.542)/g1^7 - 2*g1^2*t^8.768 + t^8.774/(g1^13*g2) + (g2*t^8.774)/g1^9 - (g1*t^4.384)/y - t^6.463/(g1^4*y) - (g1^3*t^6.921)/(g2*y) - (g1^7*g2*t^6.921)/y - (g1^3*t^7.153)/y + t^7.616/(g1*y) + t^7.616/(g1^3*g2*y) + (g1*g2*t^7.616)/y + t^7.847/(g1^3*y) + t^7.847/(g1^5*g2*y) + (g2*t^7.847)/(g1*y) + (g1^8*t^8.073)/y + t^8.079/(g1^5*y) + t^8.079/(g1^7*g2*y) + (g2*t^8.079)/(g1^3*y) + (g1^6*t^8.305)/y + (g1^4*t^8.305)/(g2*y) + (g1^8*g2*t^8.305)/y + (2*g1^4*t^8.537)/y + t^8.537/(g2^2*y) + (g1^2*t^8.537)/(g2*y) + (g1^6*g2*t^8.537)/y + (g1^8*g2^2*t^8.537)/y + (g1^2*t^8.768)/y + t^8.768/(g2*y) + (g1^4*g2*t^8.768)/y - g1*t^4.384*y - (t^6.463*y)/g1^4 - (g1^3*t^6.921*y)/g2 - g1^7*g2*t^6.921*y - g1^3*t^7.153*y + (t^7.616*y)/g1 + (t^7.616*y)/(g1^3*g2) + g1*g2*t^7.616*y + (t^7.847*y)/g1^3 + (t^7.847*y)/(g1^5*g2) + (g2*t^7.847*y)/g1 + g1^8*t^8.073*y + (t^8.079*y)/g1^5 + (t^8.079*y)/(g1^7*g2) + (g2*t^8.079*y)/g1^3 + g1^6*t^8.305*y + (g1^4*t^8.305*y)/g2 + g1^8*g2*t^8.305*y + 2*g1^4*t^8.537*y + (t^8.537*y)/g2^2 + (g1^2*t^8.537*y)/g2 + g1^6*g2*t^8.537*y + g1^8*g2^2*t^8.537*y + g1^2*t^8.768*y + (t^8.768*y)/g2 + g1^4*g2*t^8.768*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 |
|---|---|---|---|---|---|---|---|---|
| 1416 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7413 | 0.9257 | 0.8008 | [M:[0.818, 1.0276, 0.9724, 0.8732, 1.0, 0.693, 0.9724], q:[0.6048, 0.5772], qb:[0.4228, 0.5496], phi:[0.4614]] | t^2.079 + t^2.454 + t^2.619 + t^2.768 + 2*t^2.917 + t^3. + t^3.463 + t^4.158 + t^4.301 + t^4.384 + t^4.467 + t^4.533 + t^4.682 + t^4.699 + t^4.765 + 3*t^4.847 + t^4.908 + t^4.93 + 2*t^4.996 + t^5.013 + t^5.073 + t^5.079 + t^5.222 + t^5.239 + 2*t^5.371 + t^5.388 + 2*t^5.537 + t^5.542 + 2*t^5.686 + t^5.768 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.384/y - t^4.384*y | detail | |
| 1415 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.733 | 0.9136 | 0.8024 | [M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.333 + t^2.667 + 3*t^3. + t^3.667 + 3*t^4.333 + 6*t^4.667 + 9*t^5. + 7*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 475/648, c: 74/81, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 1418 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7543 | 0.9473 | 0.7962 | [M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]] | t^2.162 + 3*t^2.47 + t^2.735 + 3*t^3. + t^4.324 + 3*t^4.368 + 3*t^4.632 + 7*t^4.897 + 6*t^4.941 + 3*t^5.162 + 3*t^5.206 + 7*t^5.47 + 3*t^5.735 - 4*t^6. - t^4.368/y - t^4.368*y | detail | |
| 2085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5896 | 0.7288 | 0.809 | [X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]] | t^2.319 + t^2.454 + t^2.59 + t^2.864 + t^3. + t^3.546 + t^3.681 + t^3.956 + t^4.091 + t^4.637 + 2*t^4.773 + 2*t^4.909 + t^5.044 + t^5.18 + t^5.183 + 2*t^5.319 + t^5.454 + t^5.728 + t^5.864 - t^4.227/y - t^4.227*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 |
|---|---|---|---|---|---|---|---|---|---|
| 590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail |