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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | [M:[[0, 0], [-4, -4], [4, 4], [-8, -8]], q:[[-8, -4], [8, 4]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. + t^6.01 + t^6.1 + t^6.179 + t^6.22 + t^6.762 + t^6.852 + t^6.941 + t^6.962 + t^7.051 + t^7.062 + t^7.141 + t^7.151 + t^7.161 + t^7.24 + 2*t^7.251 - t^7.261 + t^7.271 + 2*t^7.34 + t^7.361 + t^7.43 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.56 + t^7.629 + t^7.65 - t^7.66 + t^7.67 + t^7.739 + t^7.76 + t^7.803 + t^7.828 - t^7.839 + t^7.849 + t^7.859 + t^7.938 - t^7.949 + t^7.959 + t^8.003 + t^8.048 - t^8.059 + t^8.069 + t^8.103 + t^8.158 + t^8.202 + t^8.302 + t^8.323 + 2*t^8.402 + t^8.412 + 2*t^8.501 - t^8.512 + t^8.591 - t^8.601 + t^8.611 + t^8.68 - t^8.691 + 3*t^8.701 - t^8.711 + t^8.721 + t^8.79 - 3*t^8.801 + t^8.811 + t^8.88 - t^8.89 + 2*t^8.99 - t^4.45/y - t^7.051/y - t^7.35/y + t^7.55/y + t^7.849/y + t^8.402/y + t^8.501/y + t^8.601/y + t^8.691/y + t^8.701/y + t^8.711/y + (2*t^8.801)/y + t^8.89/y + t^8.9/y + t^8.911/y + t^8.99/y - t^4.45*y - t^7.051*y - t^7.35*y + t^7.55*y + t^7.849*y + t^8.402*y + t^8.501*y + t^8.601*y + t^8.691*y + t^8.701*y + t^8.711*y + 2*t^8.801*y + t^8.89*y + t^8.9*y + t^8.911*y + t^8.99*y | t^2.601/(g1^8*g2^8) + t^2.801/(g1^4*g2^4) + t^2.9/(g1^2*g2^2) + t^3. + g1^12*g2^4*t^3.089 + t^3.11/g1^8 + g1^4*g2^4*t^3.199 + t^4.161/(g1^17*g2^9) + t^4.251/(g1^5*g2^5) + (g1^7*t^4.34)/g2 + t^4.45/(g1*g2) + g1^11*g2^3*t^4.54 + t^4.56/(g1^9*g2) + g1^3*g2^3*t^4.65 + g1^15*g2^7*t^4.739 + g1^7*g2^7*t^4.849 + (g2^7*t^4.959)/g1 + t^5.202/(g1^16*g2^16) + t^5.402/(g1^12*g2^12) + t^5.501/(g1^10*g2^10) + t^5.601/(g1^8*g2^8) + t^5.701/(g1^6*g2^6) + (2*t^5.801)/(g1^4*g2^4) + t^5.9/(g1^2*g2^2) + g1^10*g2^2*t^5.99 - 2*t^6. + t^6.01/(g1^10*g2^2) + g1^2*g2^2*t^6.1 + g1^24*g2^8*t^6.179 + t^6.22/g1^16 + t^6.762/(g1^25*g2^17) + t^6.852/(g1^13*g2^13) + t^6.941/(g1*g2^9) + t^6.962/(g1^21*g2^13) + t^7.051/(g1^9*g2^9) + t^7.062/(g1^19*g2^11) + (g1^3*t^7.141)/g2^5 + t^7.151/(g1^7*g2^7) + t^7.161/(g1^17*g2^9) + (g1^5*t^7.24)/g2^3 + (2*t^7.251)/(g1^5*g2^5) - t^7.261/(g1^15*g2^7) + t^7.271/(g1^25*g2^9) + (2*g1^7*t^7.34)/g2 + t^7.361/(g1^13*g2^5) + g1^19*g2^3*t^7.43 + t^7.45/(g1*g2) + t^7.46/(g1^11*g2^3) + 2*g1^11*g2^3*t^7.54 + t^7.56/(g1^9*g2) + g1^23*g2^7*t^7.629 + g1^3*g2^3*t^7.65 - (g2*t^7.66)/g1^7 + t^7.67/(g1^17*g2) + g1^15*g2^7*t^7.739 + (g2^3*t^7.76)/g1^5 + t^7.803/(g1^24*g2^24) + g1^27*g2^11*t^7.828 - g1^17*g2^9*t^7.839 + g1^7*g2^7*t^7.849 + (g2^5*t^7.859)/g1^3 + g1^19*g2^11*t^7.938 - g1^9*g2^9*t^7.949 + (g2^7*t^7.959)/g1 + t^8.003/(g1^20*g2^20) + g1^11*g2^11*t^8.048 - g1*g2^9*t^8.059 + (g2^7*t^8.069)/g1^9 + t^8.103/(g1^18*g2^18) + g1^3*g2^11*t^8.158 + t^8.202/(g1^16*g2^16) + t^8.302/(g1^14*g2^14) + t^8.323/(g1^34*g2^18) + (2*t^8.402)/(g1^12*g2^12) + t^8.412/(g1^22*g2^14) + (2*t^8.501)/(g1^10*g2^10) - t^8.512/(g1^20*g2^12) + (g1^2*t^8.591)/g2^6 - t^8.601/(g1^8*g2^8) + t^8.611/(g1^18*g2^10) + (g1^14*t^8.68)/g2^2 - (g1^4*t^8.691)/g2^4 + (3*t^8.701)/(g1^6*g2^6) - t^8.711/(g1^16*g2^8) + t^8.721/(g1^26*g2^10) + (g1^6*t^8.79)/g2^2 - (3*t^8.801)/(g1^4*g2^4) + t^8.811/(g1^14*g2^6) + g1^18*g2^2*t^8.88 - g1^8*t^8.89 + 2*g1^10*g2^2*t^8.99 - t^4.45/(g1*g2*y) - t^7.051/(g1^9*g2^9*y) - t^7.35/(g1^3*g2^3*y) + (g1*g2*t^7.55)/y + (g1^7*g2^7*t^7.849)/y + t^8.402/(g1^12*g2^12*y) + t^8.501/(g1^10*g2^10*y) + t^8.601/(g1^8*g2^8*y) + (g1^4*t^8.691)/(g2^4*y) + t^8.701/(g1^6*g2^6*y) + t^8.711/(g1^16*g2^8*y) + (2*t^8.801)/(g1^4*g2^4*y) + (g1^8*t^8.89)/y + t^8.9/(g1^2*g2^2*y) + t^8.911/(g1^12*g2^4*y) + (g1^10*g2^2*t^8.99)/y - (t^4.45*y)/(g1*g2) - (t^7.051*y)/(g1^9*g2^9) - (t^7.35*y)/(g1^3*g2^3) + g1*g2*t^7.55*y + g1^7*g2^7*t^7.849*y + (t^8.402*y)/(g1^12*g2^12) + (t^8.501*y)/(g1^10*g2^10) + (t^8.601*y)/(g1^8*g2^8) + (g1^4*t^8.691*y)/g2^4 + (t^8.701*y)/(g1^6*g2^6) + (t^8.711*y)/(g1^16*g2^8) + (2*t^8.801*y)/(g1^4*g2^4) + g1^8*t^8.89*y + (t^8.9*y)/(g1^2*g2^2) + (t^8.911*y)/(g1^12*g2^4) + g1^10*g2^2*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 574 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail | |
| 1797 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + 2*t^4.714 + 2*t^5.143 + 2*t^5.357 + t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 1799 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.599 | 0.7629 | 0.7852 | [M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | t^2.03 + t^2.349 + t^2.515 + 2*t^2.757 + t^3. + t^3.485 + t^3.728 + t^3.893 + t^4.059 + t^4.136 + t^4.379 + t^4.544 + 2*t^4.698 + 2*t^4.787 + t^4.864 + 2*t^5.03 + 2*t^5.107 + 2*t^5.272 + t^5.349 + 5*t^5.515 + 2*t^5.757 + t^5.923 - 2*t^6. - t^4.379/y - t^4.379*y | detail | |
| 1798 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.668 | 0.8316 | 0.8032 | [M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]] | t^2.056 + t^2.528 + t^2.764 + t^2.798 + t^3. + t^3.472 + t^3.674 + t^3.708 + t^3.91 + 2*t^4.113 + t^4.18 + t^4.382 + t^4.584 + t^4.651 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.292 + t^5.326 + 2*t^5.528 + t^5.562 + t^5.595 + 2*t^5.764 + t^5.966 - t^6. - t^4.382/y - t^4.382*y | detail | |
| 576 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | t^2.602 + t^2.801 + t^2.9 + t^3. + 2*t^3.1 + t^3.199 + t^4.152 + t^4.251 + t^4.351 + t^4.45 + 2*t^4.55 + t^4.649 + t^4.749 + t^4.848 + t^4.948 + t^5.204 + t^5.403 + t^5.502 + t^5.602 + t^5.701 + 2*t^5.801 + t^5.9 - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 227 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.7407 | 0.9101 | 0.8139 | [M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] | t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - t^4.29/y - t^4.29*y | detail |