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 |
|---|---|---|---|---|---|---|---|---|---|
| 55199 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7184 | 0.8903 | 0.8069 | [M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]] | [M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-6, -6]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{2}$ | ${}M_{2}\phi_{1}^{2}$ | -4 | 2*t^2.5 + t^2.798 + 2*t^2.833 + t^2.868 + t^3.167 + t^3.952 + 2*t^4.25 + 3*t^4.548 + t^4.618 + 2*t^4.917 + 3*t^5. + t^5.285 + 2*t^5.298 + 3*t^5.333 + 2*t^5.368 + t^5.597 + 6*t^5.667 + t^5.737 + t^5.965 - 4*t^6. + t^6.035 - 2*t^6.298 - 2*t^6.368 + 2*t^6.452 - t^6.667 + 4*t^6.75 + 2*t^6.785 + t^6.82 + 6*t^7.048 + 3*t^7.083 + 2*t^7.118 + 3*t^7.347 + 4*t^7.382 + 3*t^7.417 + t^7.487 + 4*t^7.5 - t^7.75 + 2*t^7.785 + 3*t^7.798 + 4*t^7.833 + 3*t^7.869 + t^7.904 - 2*t^8.048 + 2*t^8.097 + t^8.153 + 9*t^8.167 + t^8.202 + 2*t^8.237 + t^8.395 - t^8.417 + 3*t^8.465 - 2*t^8.5 + 2*t^8.535 + t^8.57 + t^8.605 + t^8.763 - 5*t^8.798 - 6*t^8.833 - 5*t^8.868 + t^8.904 + 3*t^8.952 - t^4.417/y - (2*t^6.917)/y - t^7.215/y - t^7.285/y + t^7.548/y + t^7.618/y + (2*t^7.917)/y + t^8./y + (2*t^8.298)/y + (4*t^8.333)/y + (2*t^8.368)/y + (2*t^8.632)/y + (4*t^8.667)/y + (2*t^8.702)/y + t^8.965/y - t^4.417*y - 2*t^6.917*y - t^7.215*y - t^7.285*y + t^7.548*y + t^7.618*y + 2*t^7.917*y + t^8.*y + 2*t^8.298*y + 4*t^8.333*y + 2*t^8.368*y + 2*t^8.632*y + 4*t^8.667*y + 2*t^8.702*y + t^8.965*y | (2*t^2.5)/(g1^6*g2^6) + (g2^8*t^2.798)/g1^4 + (2*t^2.833)/(g1^2*g2^2) + t^2.868/g2^12 + g1^2*g2^2*t^3.167 + t^3.952/(g1^5*g2^17) + (2*t^4.25)/(g1^3*g2^3) + (3*g2^11*t^4.548)/g1 + (g1^3*t^4.618)/g2^9 + 2*g1^5*g2^5*t^4.917 + (3*t^5.)/(g1^12*g2^12) + (g1^11*t^5.285)/g2 + (2*g2^2*t^5.298)/g1^10 + (3*t^5.333)/(g1^8*g2^8) + (2*t^5.368)/(g1^6*g2^18) + (g2^16*t^5.597)/g1^8 + (6*t^5.667)/(g1^4*g2^4) + t^5.737/g2^24 + (g2^10*t^5.965)/g1^2 - 4*t^6. + (g1^2*t^6.035)/g2^10 - 2*g1^2*g2^14*t^6.298 - (2*g1^6*t^6.368)/g2^6 + (2*t^6.452)/(g1^11*g2^23) - g1^8*g2^8*t^6.667 + (4*t^6.75)/(g1^9*g2^9) + (2*t^6.785)/(g1^7*g2^19) + t^6.82/(g1^5*g2^29) + (6*g2^5*t^7.048)/g1^7 + (3*t^7.083)/(g1^5*g2^5) + (2*t^7.118)/(g1^3*g2^15) + (3*g2^19*t^7.347)/g1^5 + (4*g2^9*t^7.382)/g1^3 + (3*t^7.417)/(g1*g2) + (g1^3*t^7.487)/g2^21 + (4*t^7.5)/(g1^18*g2^18) - g1^3*g2^3*t^7.75 + (2*g1^5*t^7.785)/g2^7 + (3*t^7.798)/(g1^16*g2^4) + (4*t^7.833)/(g1^14*g2^14) + (3*t^7.869)/(g1^12*g2^24) + t^7.904/(g1^10*g2^34) - 2*g1^5*g2^17*t^8.048 + (2*g2^10*t^8.097)/g1^14 + (g1^11*t^8.153)/g2^13 + (9*t^8.167)/(g1^10*g2^10) + t^8.202/(g1^8*g2^20) + (2*t^8.237)/(g1^6*g2^30) + (g2^24*t^8.395)/g1^12 - g1^11*g2^11*t^8.417 + (3*g2^4*t^8.465)/g1^8 - (2*t^8.5)/(g1^6*g2^6) + (2*t^8.535)/(g1^4*g2^16) + t^8.57/(g1^2*g2^26) + t^8.605/g2^36 + (g2^18*t^8.763)/g1^6 - (5*g2^8*t^8.798)/g1^4 - (6*t^8.833)/(g1^2*g2^2) - (5*t^8.868)/g2^12 + (g1^2*t^8.904)/g2^22 + (3*t^8.952)/(g1^17*g2^29) - t^4.417/(g1*g2*y) - (2*t^6.917)/(g1^7*g2^7*y) - (g2^7*t^7.215)/(g1^5*y) - t^7.285/(g1*g2^13*y) + (g2^11*t^7.548)/(g1*y) + (g1^3*t^7.618)/(g2^9*y) + (2*g1^5*g2^5*t^7.917)/y + t^8./(g1^12*g2^12*y) + (2*g2^2*t^8.298)/(g1^10*y) + (4*t^8.333)/(g1^8*g2^8*y) + (2*t^8.368)/(g1^6*g2^18*y) + (2*g2^6*t^8.632)/(g1^6*y) + (4*t^8.667)/(g1^4*g2^4*y) + (2*t^8.702)/(g1^2*g2^14*y) + (g2^10*t^8.965)/(g1^2*y) - (t^4.417*y)/(g1*g2) - (2*t^6.917*y)/(g1^7*g2^7) - (g2^7*t^7.215*y)/g1^5 - (t^7.285*y)/(g1*g2^13) + (g2^11*t^7.548*y)/g1 + (g1^3*t^7.618*y)/g2^9 + 2*g1^5*g2^5*t^7.917*y + (t^8.*y)/(g1^12*g2^12) + (2*g2^2*t^8.298*y)/g1^10 + (4*t^8.333*y)/(g1^8*g2^8) + (2*t^8.368*y)/(g1^6*g2^18) + (2*g2^6*t^8.632*y)/g1^6 + (4*t^8.667*y)/(g1^4*g2^4) + (2*t^8.702*y)/(g1^2*g2^14) + (g2^10*t^8.965*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56866 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.7238 | 0.9008 | 0.8035 | [M:[0.9257, 1.0605, 0.9533, 0.8185, 1.0605, 0.9395, 0.8185, 0.9395], q:[0.4161, 0.6582], qb:[0.5233, 0.5233], phi:[0.4697]] | 2*t^2.455 + t^2.777 + 3*t^2.818 + t^2.86 + t^3.906 + 2*t^4.228 + 3*t^4.549 + t^4.632 + 3*t^4.911 + 2*t^4.954 + 2*t^5.233 + 5*t^5.274 + 2*t^5.315 + t^5.358 + t^5.554 + t^5.596 + 7*t^5.637 + t^5.678 + t^5.72 - 6*t^6. - t^4.409/y - t^4.409*y | detail | |
| 56867 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7392 | 0.931 | 0.794 | [M:[0.931, 1.0546, 0.9598, 0.8362, 1.0546, 0.9454, 0.8362, 0.6767], q:[0.4253, 0.6437], qb:[0.5201, 0.5201], phi:[0.4727]] | t^2.03 + 2*t^2.509 + t^2.793 + 2*t^2.836 + t^2.879 + t^3.164 + t^4.06 + 2*t^4.254 + 5*t^4.539 + t^4.625 + t^4.823 + 2*t^4.866 + 3*t^4.91 + 3*t^5.017 + t^5.194 + t^5.28 + 2*t^5.301 + 3*t^5.345 + 2*t^5.388 + t^5.586 + 6*t^5.672 + t^5.759 + t^5.957 - 4*t^6. - t^4.418/y - t^4.418*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46804 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. - t^4.437/y - t^4.437*y | detail |