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 |
|---|---|---|---|---|---|---|---|---|---|
| 50868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6961 | 0.8501 | 0.8189 | [M:[1.0244, 0.9267, 0.9756, 1.0244, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5611, 0.5122], phi:[0.4878]] | [M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [8, -8], [6, 2]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$ | ${}M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. + 6*t^6.147 + 3*t^6.293 + t^6.44 + t^7.024 + 2*t^7.17 + 4*t^7.317 + 4*t^7.463 + 8*t^7.61 + 6*t^7.757 + 4*t^7.903 + t^8.05 + t^8.34 + t^8.487 + 3*t^8.634 - t^8.78 - t^8.927 - t^4.463/y - t^7.243/y + t^7.39/y - t^7.537/y + t^7.683/y + t^8.707/y + (4*t^8.853)/y - t^4.463*y - t^7.243*y + t^7.39*y - t^7.537*y + t^7.683*y + t^8.707*y + 4*t^8.853*y | (g2^4*t^2.78)/g1^20 + t^2.927/(g1^4*g2^12) + (2*g1^8*t^3.073)/g2^8 + g1^6*g2^2*t^3.073 + g1^4*g2^12*t^3.073 + g1^16*g2^16*t^3.22 + t^4.243/(g1^19*g2^17) + t^4.39/(g1^7*g2^13) + (g2^7*t^4.39)/g1^11 + (2*g1^5*t^4.537)/g2^9 + g1*g2^11*t^4.537 + (g2^31*t^4.537)/g1^3 + (g1^17*t^4.683)/g2^5 + g1^13*g2^15*t^4.683 + (g1^29*t^4.83)/g2 + (g2^8*t^5.56)/g1^40 + (g2^6*t^5.853)/g1^14 - 3*t^6. + (g1^4*t^6.)/g2^20 + (g1^2*t^6.)/g2^10 + (2*g1^16*t^6.147)/g2^16 + (2*g1^14*t^6.147)/g2^6 + g1^12*g2^4*t^6.147 + g1^10*g2^14*t^6.147 + g1^24*g2^8*t^6.293 + g1^22*g2^18*t^6.293 + g1^20*g2^28*t^6.293 + g1^32*g2^32*t^6.44 + t^7.024/(g1^39*g2^13) + t^7.17/(g1^23*g2^29) + (g2^11*t^7.17)/g1^31 + (2*t^7.317)/(g1^11*g2^25) + t^7.317/(g1^15*g2^5) + (g2^35*t^7.317)/g1^23 + (2*g1*t^7.463)/g2^21 + t^7.463/(g1^3*g2) + (g2^19*t^7.463)/g1^7 + (3*g1^13*t^7.61)/g2^17 + 2*g1^9*g2^3*t^7.61 + 2*g1^5*g2^23*t^7.61 + g1*g2^43*t^7.61 + (2*g1^25*t^7.757)/g2^13 + 2*g1^21*g2^7*t^7.757 + g1^17*g2^27*t^7.757 + g1^13*g2^47*t^7.757 + (2*g1^37*t^7.903)/g2^9 + g1^33*g2^11*t^7.903 + g1^29*g2^31*t^7.903 + g1^45*g2^15*t^8.05 + (g2^12*t^8.34)/g1^60 + t^8.487/(g1^38*g2^34) + t^8.634/g1^32 + t^8.634/(g1^26*g2^30) - t^8.634/(g1^28*g2^20) + t^8.634/(g1^30*g2^10) + (g2^10*t^8.634)/g1^34 + (2*t^8.78)/(g1^14*g2^26) - (2*t^8.78)/(g1^16*g2^16) + t^8.78/(g1^18*g2^6) - (3*g2^4*t^8.78)/g1^20 + (g2^14*t^8.78)/g1^22 + (2*t^8.927)/(g1^2*g2^22) - (4*t^8.927)/(g1^4*g2^12) + (2*t^8.927)/(g1^6*g2^2) - (2*g2^8*t^8.927)/g1^8 + (g2^18*t^8.927)/g1^10 - (g2^28*t^8.927)/g1^12 + (g2^38*t^8.927)/g1^14 - t^4.463/(g1^3*g2*y) - (g2^3*t^7.243)/(g1^23*y) + (g2^7*t^7.39)/(g1^11*y) - (g1^5*t^7.537)/(g2^9*y) + (g1^17*t^7.683)/(g2^5*y) + t^8.707/(g1^24*g2^8*y) + (2*t^8.853)/(g1^12*g2^4*y) + (g2^6*t^8.853)/(g1^14*y) + (g2^16*t^8.853)/(g1^16*y) - (t^4.463*y)/(g1^3*g2) - (g2^3*t^7.243*y)/g1^23 + (g2^7*t^7.39*y)/g1^11 - (g1^5*t^7.537*y)/g2^9 + (g1^17*t^7.683*y)/g2^5 + (t^8.707*y)/(g1^24*g2^8) + (2*t^8.853*y)/(g1^12*g2^4) + (g2^6*t^8.853*y)/g1^14 + (g2^16*t^8.853*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0256, 1.0, 0.9744, 0.9872, 1.0128, 0.9872, 1.0064], q:[0.4936, 0.4808], qb:[0.5064, 0.532], phi:[0.4968]] | t^2.923 + 2*t^2.962 + t^3. + t^3.019 + t^3.077 + t^3.115 + t^4.375 + t^4.414 + 2*t^4.452 + t^4.49 + 2*t^4.529 + t^4.567 + t^4.606 + t^4.683 + t^5.885 + 2*t^5.923 + t^5.942 + 2*t^5.981 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7056 | 0.8666 | 0.8143 | [M:[1.0553, 0.898, 0.9447, 1.0233, 0.9767, 1.0233, 1.0393, 0.866], q:[0.5117, 0.433], qb:[0.5903, 0.5437], phi:[0.4803]] | t^2.598 + t^2.694 + t^2.834 + 2*t^3.07 + t^3.118 + t^3.166 + t^4.039 + t^4.275 + t^4.371 + 2*t^4.511 + t^4.607 + t^4.703 + t^4.747 + t^4.843 + t^4.983 + t^5.196 + t^5.292 + t^5.388 + t^5.432 + 2*t^5.668 + t^5.716 + t^5.764 + t^5.812 + t^5.904 + t^5.952 - 3*t^6. - t^4.441/y - t^4.441*y | detail | |
| 56096 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6376 | 0.7908 | 0.8063 | [M:[1.1941, 1.0624, 0.8059, 0.8717, 1.1283, 0.8717, 1.0329], q:[0.4359, 0.37], qb:[0.5017, 0.7582], phi:[0.4835]] | t^2.418 + 2*t^2.615 + t^3.099 + t^3.187 + t^3.582 + t^3.671 + t^3.78 + t^3.868 + 2*t^4.066 + t^4.263 + t^4.461 + t^4.835 + 2*t^5.033 + 3*t^5.23 + t^5.516 + 2*t^5.714 - 2*t^6. - t^4.451/y - t^4.451*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47177 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6987 | 0.854 | 0.8181 | [M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. - t^4.455/y - t^4.455*y | detail | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |