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 |
|---|---|---|---|---|---|---|---|---|---|
| 942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7087 | 0.8731 | 0.8117 | [M:[0.841, 1.076, 0.924, 0.9929, 1.0071, 0.924], q:[0.6211, 0.538], qb:[0.4549, 0.4692], phi:[0.4792]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [8, 8]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.523 + 2*t^2.772 + t^2.875 + t^2.979 + t^3.021 + t^3.271 + t^4.167 + t^4.21 + t^4.253 + t^4.416 + t^4.459 + 2*t^4.666 + t^4.708 + t^4.915 + t^5.046 + t^5.164 + 2*t^5.295 + t^5.398 + 3*t^5.544 + 2*t^5.648 + t^5.751 + 2*t^5.794 + t^5.854 + t^5.897 - 3*t^6. + 2*t^6.043 + t^6.146 - t^6.206 - 2*t^6.249 + t^6.292 - t^6.456 - t^6.499 + t^6.541 + t^6.69 + t^6.733 + t^6.776 + 2*t^6.939 + 2*t^6.982 + 2*t^7.025 + t^7.042 + t^7.085 + t^7.128 + t^7.146 + 3*t^7.188 + 3*t^7.231 + t^7.274 - t^7.377 + 3*t^7.438 + 2*t^7.481 + t^7.523 + t^7.541 + t^7.569 + 2*t^7.687 + t^7.73 - t^7.79 + 2*t^7.818 - t^7.833 - t^7.893 + t^7.921 + 2*t^7.936 + t^7.979 + 3*t^8.067 + 2*t^8.17 + t^8.185 - t^8.289 + 4*t^8.316 + t^8.334 + t^8.377 + 4*t^8.42 + t^8.435 + t^8.462 - t^8.48 + t^8.505 - 2*t^8.523 + 2*t^8.566 + t^8.583 + 2*t^8.626 + 3*t^8.669 + t^8.712 - t^8.729 - 8*t^8.772 + 2*t^8.815 + 2*t^8.833 - t^8.875 + 4*t^8.918 + t^8.961 - 5*t^8.979 - t^4.438/y - t^6.961/y - t^7.21/y - t^7.313/y + t^7.562/y + t^7.666/y + t^7.915/y + (2*t^8.295)/y + t^8.398/y + t^8.501/y + (2*t^8.544)/y + (2*t^8.648)/y + (2*t^8.751)/y + (3*t^8.794)/y + t^8.854/y + t^8.897/y - t^4.438*y - t^6.961*y - t^7.21*y - t^7.313*y + t^7.562*y + t^7.666*y + t^7.915*y + 2*t^8.295*y + t^8.398*y + t^8.501*y + 2*t^8.544*y + 2*t^8.648*y + 2*t^8.751*y + 3*t^8.794*y + t^8.854*y + t^8.897*y | g1^20*g2^12*t^2.523 + 2*g1^8*g2^8*t^2.772 + g1^6*g2^2*t^2.875 + (g1^4*t^2.979)/g2^4 + (g2^4*t^3.021)/g1^4 + t^3.271/g1^16 + g1^19*g2*t^4.167 + g1^11*g2^9*t^4.21 + g1^3*g2^17*t^4.253 + (g1^7*t^4.416)/g2^3 + (g2^5*t^4.459)/g1 + (2*t^4.666)/(g1^5*g2^7) + (g2*t^4.708)/g1^13 + t^4.915/(g1^17*g2^11) + g1^40*g2^24*t^5.046 + t^5.164/(g1^29*g2^15) + 2*g1^28*g2^20*t^5.295 + g1^26*g2^14*t^5.398 + 3*g1^16*g2^16*t^5.544 + 2*g1^14*g2^10*t^5.648 + g1^12*g2^4*t^5.751 + 2*g1^4*g2^12*t^5.794 + (g1^10*t^5.854)/g2^2 + g1^2*g2^6*t^5.897 - 3*t^6. + (2*g2^8*t^6.043)/g1^8 + (g2^2*t^6.146)/g1^10 - t^6.206/(g1^4*g2^12) - (2*t^6.249)/(g1^12*g2^4) + (g2^4*t^6.292)/g1^20 - t^6.456/(g1^16*g2^16) - t^6.499/(g1^24*g2^8) + t^6.541/g1^32 + g1^39*g2^13*t^6.69 + g1^31*g2^21*t^6.733 + g1^23*g2^29*t^6.776 + 2*g1^27*g2^9*t^6.939 + 2*g1^19*g2^17*t^6.982 + 2*g1^11*g2^25*t^7.025 + g1^25*g2^3*t^7.042 + g1^17*g2^11*t^7.085 + g1^9*g2^19*t^7.128 + (g1^23*t^7.146)/g2^3 + 3*g1^15*g2^5*t^7.188 + 3*g1^7*g2^13*t^7.231 + (g2^21*t^7.274)/g1 - (g2^15*t^7.377)/g1^3 + 3*g1^3*g2*t^7.438 + (2*g2^9*t^7.481)/g1^5 + (g2^17*t^7.523)/g1^13 + (g1*t^7.541)/g2^5 + g1^60*g2^36*t^7.569 + (2*t^7.687)/(g1^9*g2^3) + (g2^5*t^7.73)/g1^17 - t^7.79/(g1^11*g2^9) + 2*g1^48*g2^32*t^7.818 - t^7.833/(g1^19*g2) - t^7.893/(g1^13*g2^15) + g1^46*g2^26*t^7.921 + (2*t^7.936)/(g1^21*g2^7) + (g2*t^7.979)/g1^29 + 3*g1^36*g2^28*t^8.067 + 2*g1^34*g2^22*t^8.17 + t^8.185/(g1^33*g2^11) - t^8.289/(g1^35*g2^17) + 4*g1^24*g2^24*t^8.316 + g1^38*g2^2*t^8.334 + g1^30*g2^10*t^8.377 + 4*g1^22*g2^18*t^8.42 + t^8.435/(g1^45*g2^15) + g1^14*g2^26*t^8.462 - g1^28*g2^4*t^8.48 + g1^6*g2^34*t^8.505 - 2*g1^20*g2^12*t^8.523 + 2*g1^12*g2^20*t^8.566 + (g1^26*t^8.583)/g2^2 + 2*g1^18*g2^6*t^8.626 + 3*g1^10*g2^14*t^8.669 + g1^2*g2^22*t^8.712 - g1^16*t^8.729 - 8*g1^8*g2^8*t^8.772 + 2*g2^16*t^8.815 + (2*g1^14*t^8.833)/g2^6 - g1^6*g2^2*t^8.875 + (4*g2^10*t^8.918)/g1^2 + (g2^18*t^8.961)/g1^10 - (5*g1^4*t^8.979)/g2^4 - (g1^3*g2*t^4.438)/y - (g1^23*g2^13*t^6.961)/y - (g1^11*g2^9*t^7.21)/y - (g1^9*g2^3*t^7.313)/y + t^7.562/(g1^3*g2*y) + t^7.666/(g1^5*g2^7*y) + t^7.915/(g1^17*g2^11*y) + (2*g1^28*g2^20*t^8.295)/y + (g1^26*g2^14*t^8.398)/y + (g1^24*g2^8*t^8.501)/y + (2*g1^16*g2^16*t^8.544)/y + (2*g1^14*g2^10*t^8.648)/y + (2*g1^12*g2^4*t^8.751)/y + (3*g1^4*g2^12*t^8.794)/y + (g1^10*t^8.854)/(g2^2*y) + (g1^2*g2^6*t^8.897)/y - g1^3*g2*t^4.438*y - g1^23*g2^13*t^6.961*y - g1^11*g2^9*t^7.21*y - g1^9*g2^3*t^7.313*y + (t^7.562*y)/(g1^3*g2) + (t^7.666*y)/(g1^5*g2^7) + (t^7.915*y)/(g1^17*g2^11) + 2*g1^28*g2^20*t^8.295*y + g1^26*g2^14*t^8.398*y + g1^24*g2^8*t^8.501*y + 2*g1^16*g2^16*t^8.544*y + 2*g1^14*g2^10*t^8.648*y + 2*g1^12*g2^4*t^8.751*y + 3*g1^4*g2^12*t^8.794*y + (g1^10*t^8.854*y)/g2^2 + g1^2*g2^6*t^8.897*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 |
|---|---|---|---|---|---|---|---|---|
| 1451 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{4}$ | 0.6948 | 0.8554 | 0.8122 | [M:[0.9646, 1.0354, 0.9646, 1.0354, 0.9646, 0.9646], q:[0.5177, 0.5177], qb:[0.5177, 0.4469], phi:[0.5]] | 5*t^2.894 + t^3. + t^3.106 + t^4.182 + 3*t^4.394 + 6*t^4.606 + 12*t^5.788 + 5*t^5.894 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1453 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7194 | 0.8926 | 0.806 | [M:[0.8127, 1.0759, 0.9241, 0.9644, 1.0356, 0.9241, 0.853], q:[0.6494, 0.5379], qb:[0.4265, 0.4976], phi:[0.4721]] | t^2.438 + t^2.559 + 2*t^2.772 + t^2.833 + t^2.893 + t^3.107 + t^3.975 + t^4.189 + t^4.31 + t^4.402 + t^4.523 + 2*t^4.644 + t^4.857 + t^4.876 + t^4.978 + t^4.997 + t^5.118 + 2*t^5.21 + t^5.271 + t^5.313 + 2*t^5.331 + t^5.392 + t^5.452 + 3*t^5.545 + 2*t^5.605 + 2*t^5.666 + t^5.726 + t^5.879 + t^5.939 - 3*t^6. - t^4.416/y - t^4.416*y | detail | |
| 2095 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5831 | 0.734 | 0.7944 | [X:[1.5732], M:[0.4268, 1.2803, 0.7197, 0.9873, 1.0127, 0.7197], q:[0.9331, 0.6401], qb:[0.3472, 0.3725], phi:[0.4268]] | 2*t^2.159 + t^2.561 + t^2.962 + t^3.038 + t^3.363 + t^3.439 + t^3.516 + t^3.917 + 3*t^4.318 + 3*t^4.72 + 3*t^5.121 + 2*t^5.197 + 2*t^5.523 + 2*t^5.599 + 2*t^5.675 + t^5.924 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |