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 |
|---|---|---|---|---|---|---|---|---|---|
| 54585 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0277, 1.0526, 0.9723, 0.8422, 0.867, 0.6841, 0.9474], q:[0.4211, 0.5512], qb:[0.5263, 0.6066], phi:[0.4737]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [7, 0], [-2, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | t^2.052 + t^2.527 + t^2.601 + 2*t^2.842 + t^2.917 + t^3.083 + t^3.232 + t^4.105 + t^4.263 + t^4.338 + t^4.504 + 2*t^4.579 + 2*t^4.654 + t^4.728 + t^4.82 + 3*t^4.895 + t^4.969 + t^5.053 + t^5.061 + t^5.128 + t^5.136 + t^5.202 + t^5.285 + 2*t^5.369 + 2*t^5.443 + t^5.518 + 3*t^5.684 + 2*t^5.759 + t^5.834 + t^5.925 - 3*t^6. + t^6.075 + t^6.149 + t^6.157 - t^6.241 + t^6.465 + 2*t^6.631 + 2*t^6.706 + t^6.781 + t^6.79 + t^6.864 + t^6.872 + t^6.939 + 3*t^6.947 + t^7.022 + 3*t^7.105 + t^7.113 + 4*t^7.18 + t^7.188 + 3*t^7.255 + t^7.329 + t^7.337 + 2*t^7.346 + 3*t^7.421 + 4*t^7.496 + 4*t^7.57 + t^7.58 + t^7.588 + t^7.645 + t^7.654 + t^7.662 + t^7.729 + 3*t^7.737 + t^7.803 + 2*t^7.811 + t^7.886 + 2*t^7.895 + 2*t^7.903 + t^7.961 + 2*t^7.97 + 2*t^8.044 - 4*t^8.052 + t^8.119 + t^8.127 + t^8.144 + t^8.202 + t^8.21 + 2*t^8.211 - t^8.219 + 3*t^8.285 - t^8.293 + 2*t^8.36 + t^8.435 - t^8.452 + t^8.517 - t^8.527 - t^8.601 + t^8.676 + 2*t^8.684 + t^8.75 + 2*t^8.758 + t^8.833 - 7*t^8.842 - 2*t^8.917 + t^8.925 + 2*t^8.991 + 3*t^8.999 - t^4.421/y - t^6.473/y - t^6.948/y - t^7.022/y - t^7.263/y + (2*t^7.579)/y + t^7.654/y + t^7.82/y + (3*t^7.895)/y + t^7.969/y + t^8.128/y + t^8.136/y + t^8.285/y + (3*t^8.369)/y + (3*t^8.443)/y + t^8.518/y - t^8.526/y + t^8.61/y + (2*t^8.684)/y + (3*t^8.759)/y + t^8.834/y + (2*t^8.925)/y - t^4.421*y - t^6.473*y - t^6.948*y - t^7.022*y - t^7.263*y + 2*t^7.579*y + t^7.654*y + t^7.82*y + 3*t^7.895*y + t^7.969*y + t^8.128*y + t^8.136*y + t^8.285*y + 3*t^8.369*y + 3*t^8.443*y + t^8.518*y - t^8.526*y + t^8.61*y + 2*t^8.684*y + 3*t^8.759*y + t^8.834*y + 2*t^8.925*y | g1^7*t^2.052 + t^2.527/g1^6 + t^2.601/(g1*g2) + (2*t^2.842)/g1^2 + (g1^3*t^2.917)/g2 + (g2*t^3.083)/g1^3 + (g1^7*t^3.232)/g2 + g1^14*t^4.105 + t^4.263/g1^3 + (g1^2*t^4.338)/g2 + (g2*t^4.504)/g1^4 + 2*g1*t^4.579 + (2*g1^6*t^4.654)/g2 + (g1^11*t^4.728)/g2^2 + g2*t^4.82 + 3*g1^5*t^4.895 + (g1^10*t^4.969)/g2 + t^5.053/g1^12 + (g2^2*t^5.061)/g1 + t^5.128/(g1^7*g2) + g1^4*g2*t^5.136 + t^5.202/(g1^2*g2^2) + (g1^14*t^5.285)/g2 + (2*t^5.369)/g1^8 + (2*t^5.443)/(g1^3*g2) + (g1^2*t^5.518)/g2^2 + (3*t^5.684)/g1^4 + (2*g1*t^5.759)/g2 + (g1^6*t^5.834)/g2^2 + (g2*t^5.925)/g1^5 - 3*t^6. + (g1^5*t^6.075)/g2 + (g1^10*t^6.149)/g2^2 + g1^21*t^6.157 - (g2*t^6.241)/g1 + (g1^14*t^6.465)/g2^2 + 2*g1^8*t^6.631 + (2*g1^13*t^6.706)/g2 + (g1^18*t^6.781)/g2^2 + t^6.79/g1^9 + t^6.864/(g1^4*g2) + g1^7*g2*t^6.872 + (g1*t^6.939)/g2^2 + 3*g1^12*t^6.947 + (g1^17*t^7.022)/g2 + (3*t^7.105)/g1^5 + g1^6*g2^2*t^7.113 + (4*t^7.18)/g2 + g1^11*g2*t^7.188 + (3*g1^5*t^7.255)/g2^2 + (g1^10*t^7.329)/g2^3 + (g1^21*t^7.337)/g2 + (2*g2*t^7.346)/g1^6 + (3*t^7.421)/g1 + (4*g1^4*t^7.496)/g2 + (4*g1^9*t^7.57)/g2^2 + t^7.58/g1^18 + (g2^2*t^7.588)/g1^7 + (g1^14*t^7.645)/g2^3 + t^7.654/(g1^13*g2) + (g2*t^7.662)/g1^2 + t^7.729/(g1^8*g2^2) + 3*g1^3*t^7.737 + t^7.803/(g1^3*g2^3) + (2*g1^8*t^7.811)/g2 + (g1^13*t^7.886)/g2^2 + (2*t^7.895)/g1^14 + (2*g2^2*t^7.903)/g1^3 + (g1^18*t^7.961)/g2^3 + (2*t^7.97)/(g1^9*g2) + (2*t^8.044)/(g1^4*g2^2) - 4*g1^7*t^8.052 + (g1*t^8.119)/g2^3 + (g1^12*t^8.127)/g2 + (g2^3*t^8.144)/g1^4 + (g1^17*t^8.202)/g2^2 + g1^28*t^8.21 + (2*t^8.211)/g1^10 - g1*g2^2*t^8.219 + (3*t^8.285)/(g1^5*g2) - g1^6*g2*t^8.293 + (2*t^8.36)/g2^2 + (g1^5*t^8.435)/g2^3 - (g2*t^8.452)/g1^11 + (g1^21*t^8.517)/g2^2 - t^8.527/g1^6 - t^8.601/(g1*g2) + (g1^4*t^8.676)/g2^2 + 2*g1^15*t^8.684 + (g1^9*t^8.75)/g2^3 + (2*g1^20*t^8.758)/g2 + (g1^25*t^8.833)/g2^2 - (7*t^8.842)/g1^2 - (2*g1^3*t^8.917)/g2 + g1^14*g2*t^8.925 + (2*g1^8*t^8.991)/g2^2 + 3*g1^19*t^8.999 - t^4.421/(g1*y) - (g1^6*t^6.473)/y - t^6.948/(g1^7*y) - t^7.022/(g1^2*g2*y) - t^7.263/(g1^3*y) + (2*g1*t^7.579)/y + (g1^6*t^7.654)/(g2*y) + (g2*t^7.82)/y + (3*g1^5*t^7.895)/y + (g1^10*t^7.969)/(g2*y) + t^8.128/(g1^7*g2*y) + (g1^4*g2*t^8.136)/y + (g1^14*t^8.285)/(g2*y) + (3*t^8.369)/(g1^8*y) + (3*t^8.443)/(g1^3*g2*y) + (g1^2*t^8.518)/(g2^2*y) - (g1^13*t^8.526)/y + (g2*t^8.61)/(g1^9*y) + (2*t^8.684)/(g1^4*y) + (3*g1*t^8.759)/(g2*y) + (g1^6*t^8.834)/(g2^2*y) + (2*g2*t^8.925)/(g1^5*y) - (t^4.421*y)/g1 - g1^6*t^6.473*y - (t^6.948*y)/g1^7 - (t^7.022*y)/(g1^2*g2) - (t^7.263*y)/g1^3 + 2*g1*t^7.579*y + (g1^6*t^7.654*y)/g2 + g2*t^7.82*y + 3*g1^5*t^7.895*y + (g1^10*t^7.969*y)/g2 + (t^8.128*y)/(g1^7*g2) + g1^4*g2*t^8.136*y + (g1^14*t^8.285*y)/g2 + (3*t^8.369*y)/g1^8 + (3*t^8.443*y)/(g1^3*g2) + (g1^2*t^8.518*y)/g2^2 - g1^13*t^8.526*y + (g2*t^8.61*y)/g1^9 + (2*t^8.684*y)/g1^4 + (3*g1*t^8.759*y)/g2 + (g1^6*t^8.834*y)/g2^2 + (2*g2*t^8.925*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56597 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6679 | 0.8359 | 0.7991 | [X:[1.3435], M:[1.1348, 1.1043, 0.8652, 0.687, 0.6565, 0.8652, 0.8957], q:[0.3435, 0.5217], qb:[0.5522, 0.7913], phi:[0.4478]] | t^2.061 + 2*t^2.596 + 2*t^2.687 + t^3.222 + t^3.404 + t^3.939 + 2*t^4.03 + t^4.122 + t^4.474 + t^4.565 + 2*t^4.657 + 3*t^4.748 + 2*t^5.191 + 5*t^5.283 + 3*t^5.374 + 2*t^5.817 + t^5.909 - 2*t^6. - t^4.343/y - t^4.343*y | detail | |
| 56596 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}X_{1}$ | 0.6559 | 0.8087 | 0.8111 | [X:[1.3379], M:[0.8942, 1.1126, 1.1058, 0.6621, 0.8805, 0.8942, 0.8874], q:[0.331, 0.7747], qb:[0.5563, 0.5632], phi:[0.4437]] | t^2.641 + 2*t^2.662 + 2*t^2.683 + t^3.317 + 2*t^3.993 + 2*t^4.014 + t^4.648 + t^4.69 + t^4.71 + t^5.283 + t^5.304 + 5*t^5.324 + 4*t^5.345 + 2*t^5.365 + t^5.959 + 2*t^5.979 - 3*t^6. - t^4.331/y - t^4.331*y | detail | |
| 56600 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ | 0.7338 | 0.918 | 0.7994 | [M:[1.0, 1.0529, 1.0, 0.8412, 0.8941, 0.6853, 0.9471], q:[0.4206, 0.5794], qb:[0.5265, 0.5794], phi:[0.4735]] | t^2.056 + t^2.523 + t^2.682 + 2*t^2.841 + 2*t^3. + t^3.318 + t^4.112 + t^4.262 + 2*t^4.421 + 2*t^4.579 + 3*t^4.738 + 5*t^4.897 + t^5.047 + 2*t^5.056 + t^5.206 + 3*t^5.365 + t^5.374 + 2*t^5.523 + 4*t^5.682 + 3*t^5.841 - 2*t^6. - t^4.421/y - t^4.421*y | detail | |
| 56598 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7194 | 0.9002 | 0.7992 | [M:[0.9785, 1.087, 1.0215, 0.739, 0.8475, 0.8045, 0.913], q:[0.3695, 0.652], qb:[0.5435, 0.609], phi:[0.4565]] | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 1723997/2396304, c: 1078525/1198152, M1: 1136/1161, M2: 1262/1161, M3: 1186/1161, M4: 286/387, M5: 328/387, M6: 934/1161, M7: 1060/1161, q1: 143/387, q2: 757/1161, qb1: 631/1161, qb2: 707/1161, phi1: 530/1161} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48297 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0279, 1.0484, 0.9721, 0.8548, 0.8753, 0.6693], q:[0.4274, 0.5446], qb:[0.5242, 0.6005], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |