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 |
|---|---|---|---|---|---|---|---|---|---|
| 3591 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5886 | 0.7403 | 0.7952 | [X:[1.5739], M:[0.4261, 1.2784, 0.7216, 0.9829, 1.0171, 0.8181, 0.8864], q:[0.9347, 0.6392], qb:[0.3437, 0.3779], phi:[0.4261]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-32], [24]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.165 + t^2.454 + t^2.557 + t^2.659 + t^2.949 + t^3.051 + t^3.443 + t^3.835 + t^3.938 + t^4.33 + t^4.619 + 2*t^4.722 + t^4.824 + t^4.909 + t^5.011 + 3*t^5.114 + 2*t^5.216 + t^5.318 + t^5.403 + t^5.506 + 2*t^5.608 + t^5.71 + t^5.898 + 2*t^6.102 + t^6.29 + t^6.392 + 2*t^6.494 + t^6.597 + t^6.886 + t^6.989 + t^7.074 + t^7.176 + 2*t^7.278 + t^7.363 + 2*t^7.381 + t^7.466 + t^7.483 + 3*t^7.568 + 3*t^7.67 + 4*t^7.773 + t^7.858 + 3*t^7.875 + t^7.96 + t^7.978 + t^8.062 + 2*t^8.267 + t^8.352 + t^8.37 - t^8.454 + t^8.744 + 2*t^8.762 + t^8.846 - t^8.949 - t^4.278/y - t^6.733/y - t^6.835/y - t^6.938/y + (2*t^7.619)/y + (2*t^7.722)/y + (2*t^7.824)/y + t^8.011/y + (2*t^8.114)/y + (2*t^8.216)/y + t^8.403/y + (2*t^8.506)/y + (3*t^8.608)/y + t^8.71/y + t^8.898/y - t^4.278*y - t^6.733*y - t^6.835*y - t^6.938*y + 2*t^7.619*y + 2*t^7.722*y + 2*t^7.824*y + t^8.011*y + 2*t^8.114*y + 2*t^8.216*y + t^8.403*y + 2*t^8.506*y + 3*t^8.608*y + t^8.71*y + t^8.898*y | g1^6*t^2.165 + t^2.454/g1^32 + t^2.557/g1^4 + g1^24*t^2.659 + t^2.949/g1^14 + g1^14*t^3.051 + g1^4*t^3.443 + t^3.835/g1^6 + g1^22*t^3.938 + g1^12*t^4.33 + t^4.619/g1^26 + 2*g1^2*t^4.722 + g1^30*t^4.824 + t^4.909/g1^64 + t^5.011/g1^36 + (3*t^5.114)/g1^8 + 2*g1^20*t^5.216 + g1^48*t^5.318 + t^5.403/g1^46 + t^5.506/g1^18 + 2*g1^10*t^5.608 + g1^38*t^5.71 + t^5.898/g1^28 + 2*g1^28*t^6.102 + t^6.29/g1^38 + t^6.392/g1^10 + 2*g1^18*t^6.494 + g1^46*t^6.597 + g1^8*t^6.886 + g1^36*t^6.989 + t^7.074/g1^58 + t^7.176/g1^30 + (2*t^7.278)/g1^2 + t^7.363/g1^96 + 2*g1^26*t^7.381 + t^7.466/g1^68 + g1^54*t^7.483 + (3*t^7.568)/g1^40 + (3*t^7.67)/g1^12 + 4*g1^16*t^7.773 + t^7.858/g1^78 + 3*g1^44*t^7.875 + t^7.96/g1^50 + g1^72*t^7.978 + t^8.062/g1^22 + 2*g1^34*t^8.267 + t^8.352/g1^60 + g1^62*t^8.37 - t^8.454/g1^32 + t^8.744/g1^70 + 2*g1^52*t^8.762 + t^8.846/g1^42 - t^8.949/g1^14 - t^4.278/(g1^2*y) - t^6.733/(g1^34*y) - t^6.835/(g1^6*y) - (g1^22*t^6.938)/y + (2*t^7.619)/(g1^26*y) + (2*g1^2*t^7.722)/y + (2*g1^30*t^7.824)/y + t^8.011/(g1^36*y) + (2*t^8.114)/(g1^8*y) + (2*g1^20*t^8.216)/y + t^8.403/(g1^46*y) + (2*t^8.506)/(g1^18*y) + (3*g1^10*t^8.608)/y + (g1^38*t^8.71)/y + t^8.898/(g1^28*y) - (t^4.278*y)/g1^2 - (t^6.733*y)/g1^34 - (t^6.835*y)/g1^6 - g1^22*t^6.938*y + (2*t^7.619*y)/g1^26 + 2*g1^2*t^7.722*y + 2*g1^30*t^7.824*y + (t^8.011*y)/g1^36 + (2*t^8.114*y)/g1^8 + 2*g1^20*t^8.216*y + (t^8.403*y)/g1^46 + (2*t^8.506*y)/g1^18 + 3*g1^10*t^8.608*y + g1^38*t^8.71*y + (t^8.898*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5266 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{8}$ | 0.5877 | 0.7392 | 0.795 | [X:[1.5719], M:[0.4281, 1.2844, 0.7156, 0.9969, 1.0031, 0.85, 0.8625, 1.0031], q:[0.9297, 0.6422], qb:[0.3547, 0.3609], phi:[0.4281]] | t^2.147 + t^2.55 + t^2.569 + t^2.587 + 2*t^3.009 + t^3.431 + t^3.853 + t^3.872 + t^4.294 + t^4.697 + 2*t^4.716 + t^4.734 + t^5.1 + t^5.119 + 2*t^5.138 + 3*t^5.156 + t^5.175 + t^5.559 + 2*t^5.578 + 2*t^5.597 - t^6. - t^4.284/y - t^4.284*y | detail | |
| 5267 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6016 | 0.7625 | 0.789 | [X:[1.5743], M:[0.4257, 1.277, 0.723, 0.9798, 1.0202, 0.8109, 0.8918, 0.8514], q:[0.9358, 0.6385], qb:[0.3413, 0.3817], phi:[0.4257]] | t^2.169 + t^2.433 + 2*t^2.554 + t^2.675 + t^2.939 + t^3.061 + t^3.831 + t^3.952 + t^4.338 + t^4.602 + 3*t^4.723 + t^4.844 + t^4.865 + 2*t^4.987 + 5*t^5.108 + 3*t^5.23 + t^5.351 + t^5.372 + 2*t^5.493 + 2*t^5.615 + t^5.736 - t^6. - t^4.277/y - t^4.277*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 1.2689, 0.7311, 0.9607, 1.0393, 0.7673], q:[0.9426, 0.6344], qb:[0.3263, 0.4049], phi:[0.423]] | t^2.193 + t^2.302 + t^2.538 + t^2.882 + t^3.118 + t^3.226 + t^3.462 + t^3.807 + t^4.042 + t^4.387 + t^4.495 + t^4.604 + 2*t^4.731 + t^4.84 + 2*t^5.075 + t^5.184 + t^5.311 + 2*t^5.42 + t^5.528 + t^5.656 + 2*t^5.764 - t^4.269/y - t^4.269*y | detail |