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 |
|---|---|---|---|---|---|---|---|---|---|
| 2090 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6974 | 0.8857 | 0.7874 | [M:[1.0728, 0.7815, 0.6954, 1.159, 0.841, 0.7549], q:[0.5364, 0.3907], qb:[0.7682, 0.4503], phi:[0.4636]] | [M:[[4], [-12], [-3], [-5], [5], [14]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | t^2.086 + t^2.265 + t^2.344 + t^2.523 + t^2.781 + t^2.96 + t^3.219 + t^3.477 + t^3.914 + t^4.093 + 2*t^4.172 + 2*t^4.351 + t^4.431 + t^4.53 + 3*t^4.609 + t^4.689 + t^4.788 + 2*t^4.868 + 3*t^5.046 + t^5.126 + t^5.225 + 3*t^5.305 + 2*t^5.483 + 2*t^5.563 + 2*t^5.742 + t^5.92 + 2*t^6.179 + 2*t^6.258 + t^6.357 + 4*t^6.437 + 2*t^6.517 + 3*t^6.616 + 4*t^6.695 + t^6.775 + t^6.794 + 5*t^6.874 + 3*t^6.954 + t^7.033 + 2*t^7.053 + 4*t^7.132 + t^7.212 + 4*t^7.311 + 4*t^7.391 + t^7.47 + t^7.49 + 5*t^7.569 + 3*t^7.649 + 2*t^7.748 + 3*t^7.828 + t^7.907 + 4*t^8.006 + 2*t^8.185 + 2*t^8.265 + 4*t^8.444 + 2*t^8.523 + t^8.603 + t^8.622 + 6*t^8.702 + 3*t^8.781 + 2*t^8.861 + 4*t^8.881 + 4*t^8.96 - t^4.391/y - t^6.477/y - t^6.656/y - t^6.735/y + t^7.351/y + t^7.431/y + (2*t^7.609)/y + t^7.788/y + (2*t^7.868)/y + (3*t^8.046)/y + (2*t^8.126)/y + t^8.225/y + (4*t^8.305)/y + (2*t^8.483)/y + t^8.563/y + (2*t^8.742)/y - t^8.92/y - t^4.391*y - t^6.477*y - t^6.656*y - t^6.735*y + t^7.351*y + t^7.431*y + 2*t^7.609*y + t^7.788*y + 2*t^7.868*y + 3*t^8.046*y + 2*t^8.126*y + t^8.225*y + 4*t^8.305*y + 2*t^8.483*y + t^8.563*y + 2*t^8.742*y - t^8.92*y | t^2.086/g1^3 + g1^14*t^2.265 + t^2.344/g1^12 + g1^5*t^2.523 + t^2.781/g1^4 + g1^13*t^2.96 + g1^4*t^3.219 + t^3.477/g1^5 + g1^3*t^3.914 + g1^20*t^4.093 + (2*t^4.172)/g1^6 + 2*g1^11*t^4.351 + t^4.431/g1^15 + g1^28*t^4.53 + 3*g1^2*t^4.609 + t^4.689/g1^24 + g1^19*t^4.788 + (2*t^4.868)/g1^7 + 3*g1^10*t^5.046 + t^5.126/g1^16 + g1^27*t^5.225 + 3*g1*t^5.305 + 2*g1^18*t^5.483 + (2*t^5.563)/g1^8 + 2*g1^9*t^5.742 + g1^26*t^5.92 + 2*g1^17*t^6.179 + (2*t^6.258)/g1^9 + g1^34*t^6.357 + 4*g1^8*t^6.437 + (2*t^6.517)/g1^18 + 3*g1^25*t^6.616 + (4*t^6.695)/g1 + t^6.775/g1^27 + g1^42*t^6.794 + 5*g1^16*t^6.874 + (3*t^6.954)/g1^10 + t^7.033/g1^36 + 2*g1^33*t^7.053 + 4*g1^7*t^7.132 + t^7.212/g1^19 + 4*g1^24*t^7.311 + (4*t^7.391)/g1^2 + t^7.47/g1^28 + g1^41*t^7.49 + 5*g1^15*t^7.569 + (3*t^7.649)/g1^11 + 2*g1^32*t^7.748 + 3*g1^6*t^7.828 + t^7.907/g1^20 + 4*g1^23*t^8.006 + 2*g1^40*t^8.185 + 2*g1^14*t^8.265 + 4*g1^31*t^8.444 + 2*g1^5*t^8.523 + t^8.603/g1^21 + g1^48*t^8.622 + 6*g1^22*t^8.702 + (3*t^8.781)/g1^4 + (2*t^8.861)/g1^30 + 4*g1^39*t^8.881 + 4*g1^13*t^8.96 - t^4.391/(g1^2*y) - t^6.477/(g1^5*y) - (g1^12*t^6.656)/y - t^6.735/(g1^14*y) + (g1^11*t^7.351)/y + t^7.431/(g1^15*y) + (2*g1^2*t^7.609)/y + (g1^19*t^7.788)/y + (2*t^7.868)/(g1^7*y) + (3*g1^10*t^8.046)/y + (2*t^8.126)/(g1^16*y) + (g1^27*t^8.225)/y + (4*g1*t^8.305)/y + (2*g1^18*t^8.483)/y + t^8.563/(g1^8*y) + (2*g1^9*t^8.742)/y - (g1^26*t^8.92)/y - (t^4.391*y)/g1^2 - (t^6.477*y)/g1^5 - g1^12*t^6.656*y - (t^6.735*y)/g1^14 + g1^11*t^7.351*y + (t^7.431*y)/g1^15 + 2*g1^2*t^7.609*y + g1^19*t^7.788*y + (2*t^7.868*y)/g1^7 + 3*g1^10*t^8.046*y + (2*t^8.126*y)/g1^16 + g1^27*t^8.225*y + 4*g1*t^8.305*y + 2*g1^18*t^8.483*y + (t^8.563*y)/g1^8 + 2*g1^9*t^8.742*y - g1^26*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3152 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.718 | 0.9253 | 0.776 | [M:[1.0732, 0.7803, 0.6951, 1.1584, 0.8416, 0.7564, 0.6951], q:[0.5366, 0.3901], qb:[0.7683, 0.4514], phi:[0.4634]] | 2*t^2.085 + t^2.269 + t^2.341 + t^2.525 + t^2.78 + t^2.964 + t^3.22 + t^3.475 + t^4.099 + 4*t^4.17 + 3*t^4.354 + 2*t^4.426 + t^4.538 + 4*t^4.61 + t^4.682 + t^4.794 + 3*t^4.865 + 4*t^5.049 + t^5.121 + t^5.233 + 4*t^5.305 + 2*t^5.489 + 3*t^5.561 + 2*t^5.744 + t^5.928 - t^6. - t^4.39/y - t^4.39*y | detail | |
| 3151 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6908 | 0.8754 | 0.7891 | [M:[1.0697, 0.7909, 0.6977, 1.1629, 0.8371, 0.7439, 1.0697], q:[0.5348, 0.3955], qb:[0.7674, 0.4416], phi:[0.4652]] | t^2.093 + t^2.232 + t^2.373 + t^2.511 + t^2.929 + 2*t^3.209 + t^3.489 + t^3.907 + t^4.045 + 2*t^4.186 + 2*t^4.325 + t^4.463 + t^4.466 + 3*t^4.605 + t^4.743 + t^4.746 + t^4.884 + 2*t^5.023 + t^5.161 + 3*t^5.302 + 3*t^5.441 + 2*t^5.582 + 2*t^5.72 + t^5.859 - t^6. - t^4.395/y - t^4.395*y | detail | |
| 3150 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6972 | 0.8847 | 0.7881 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 0.7692], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.077 + 2*t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.923 + 3*t^4.154 + 3*t^4.385 + 5*t^4.615 + 3*t^4.846 + 4*t^5.077 + 4*t^5.308 + 4*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 24507/35152, c: 15549/17576, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 10/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], 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 |