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 |
|---|---|---|---|---|---|---|---|---|---|
| 49 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | [M:[[1, -4, -1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^6.049 + t^6.247 + t^6.296 + t^6.346 + t^6.395 + t^6.622 + 2*t^6.646 + t^6.671 + 2*t^6.696 + t^6.967 + t^7.016 - 2*t^7.041 - 2*t^7.091 - t^7.115 + t^7.638 + 2*t^7.663 + 4*t^7.687 + 2*t^7.712 + 4*t^7.737 + 2*t^7.786 + t^7.984 + 2*t^8.008 + t^8.033 + 2*t^8.058 - 2*t^8.082 - 2*t^8.132 - t^8.181 + t^8.329 + t^8.379 + t^8.408 + t^8.428 + t^8.477 + t^8.527 + t^8.704 + 2*t^8.728 + t^8.753 + 2*t^8.778 - 3*t^8.803 - 2*t^8.852 - t^4.066/y - t^6.148/y - t^6.197/y + t^7.214/y + t^7.885/y + (2*t^7.934)/y + t^7.984/y - t^8.23/y - t^8.28/y - t^8.329/y + t^8.901/y + (2*t^8.926)/y + (2*t^8.951)/y + (4*t^8.975)/y - t^4.066*y - t^6.148*y - t^6.197*y + t^7.214*y + t^7.885*y + 2*t^7.934*y + t^7.984*y - t^8.23*y - t^8.28*y - t^8.329*y + t^8.901*y + 2*t^8.926*y + 2*t^8.951*y + 4*t^8.975*y | (g1*t^2.082)/(g2^4*g3) + t^2.132/(g2^2*g3^2) + g2^3*g3^3*t^2.803 + g1*g3^3*t^3.819 + g1*g2^3*t^3.844 + (g3^5*t^3.844)/g2 + g2^2*g3^2*t^3.868 + (g2^5*t^3.893)/g3 + (g2*g3^4*t^3.893)/g1 + (g1^2*t^4.165)/(g2^8*g3^2) + (g1*t^4.214)/(g2^6*g3^3) + t^4.263/(g2^4*g3^4) + (g1*g3^2*t^4.885)/g2 + 2*g2*g3*t^4.934 + g2^6*g3^6*t^5.605 + (g1^2*g3^2*t^5.901)/g2^4 + (g1^2*t^5.926)/(g2*g3) + (g1*g3^4*t^5.926)/g2^5 + (g1*g3*t^5.951)/g2^2 + (g1*g2*t^5.975)/g3^2 + (g3^3*t^5.975)/g2^3 - 2*t^6. - (g2^2*t^6.049)/(g1*g3) + (g1^3*t^6.247)/(g2^12*g3^3) + (g1^2*t^6.296)/(g2^10*g3^4) + (g1*t^6.346)/(g2^8*g3^5) + t^6.395/(g2^6*g3^6) + g1*g2^3*g3^6*t^6.622 + g1*g2^6*g3^3*t^6.646 + g2^2*g3^8*t^6.646 + g2^5*g3^5*t^6.671 + g2^8*g3^2*t^6.696 + (g2^4*g3^7*t^6.696)/g1 + (g1^2*g3*t^6.967)/g2^5 + (g1*t^7.016)/g2^3 - (g1*t^7.041)/g3^3 - (g3^2*t^7.041)/g2^4 - (g2^2*t^7.091)/g3^4 - (g3*t^7.091)/(g1*g2^2) - (g2*t^7.115)/(g1*g3^2) + g1^2*g3^6*t^7.638 + g1^2*g2^3*g3^3*t^7.663 + (g1*g3^8*t^7.663)/g2 + g1^2*g2^6*t^7.687 + 2*g1*g2^2*g3^5*t^7.687 + (g3^10*t^7.687)/g2^2 + g1*g2^5*g3^2*t^7.712 + g2*g3^7*t^7.712 + (g1*g2^8*t^7.737)/g3 + 2*g2^4*g3^4*t^7.737 + (g3^9*t^7.737)/g1 + (g2^10*t^7.786)/g3^2 + (g2^2*g3^8*t^7.786)/g1^2 + (g1^3*g3*t^7.984)/g2^8 + (g1^3*t^8.008)/(g2^5*g3^2) + (g1^2*g3^3*t^8.008)/g2^9 + (g1^2*t^8.033)/g2^6 + (g1^2*t^8.058)/(g2^3*g3^3) + (g1*g3^2*t^8.058)/g2^7 - (2*g1*t^8.082)/(g2^4*g3) - (2*t^8.132)/(g2^2*g3^2) - t^8.181/(g1*g3^3) + (g1^4*t^8.329)/(g2^16*g3^4) + (g1^3*t^8.379)/(g2^14*g3^5) + g2^9*g3^9*t^8.408 + (g1^2*t^8.428)/(g2^12*g3^6) + (g1*t^8.477)/(g2^10*g3^7) + t^8.527/(g2^8*g3^8) + (g1^2*g3^5*t^8.704)/g2 + g1^2*g2^2*g3^2*t^8.728 + (g1*g3^7*t^8.728)/g2^2 + g1*g2*g3^4*t^8.753 + g1*g2^4*g3*t^8.778 + g3^6*t^8.778 - 3*g2^3*g3^3*t^8.803 - (2*g2^5*g3^2*t^8.852)/g1 - t^4.066/(g2*g3*y) - (g1*t^6.148)/(g2^5*g3^2*y) - t^6.197/(g2^3*g3^3*y) + (g1*t^7.214)/(g2^6*g3^3*y) + (g1*g3^2*t^7.885)/(g2*y) + (2*g2*g3*t^7.934)/y + (g2^3*t^7.984)/(g1*y) - (g1^2*t^8.23)/(g2^9*g3^3*y) - (g1*t^8.28)/(g2^7*g3^4*y) - t^8.329/(g2^5*g3^5*y) + (g1^2*g3^2*t^8.901)/(g2^4*y) + (g1^2*t^8.926)/(g2*g3*y) + (g1*g3^4*t^8.926)/(g2^5*y) + (2*g1*g3*t^8.951)/(g2^2*y) + (2*g1*g2*t^8.975)/(g3^2*y) + (2*g3^3*t^8.975)/(g2^3*y) - (t^4.066*y)/(g2*g3) - (g1*t^6.148*y)/(g2^5*g3^2) - (t^6.197*y)/(g2^3*g3^3) + (g1*t^7.214*y)/(g2^6*g3^3) + (g1*g3^2*t^7.885*y)/g2 + 2*g2*g3*t^7.934*y + (g2^3*t^7.984*y)/g1 - (g1^2*t^8.23*y)/(g2^9*g3^3) - (g1*t^8.28*y)/(g2^7*g3^4) - (t^8.329*y)/(g2^5*g3^5) + (g1^2*g3^2*t^8.901*y)/g2^4 + (g1^2*t^8.926*y)/(g2*g3) + (g1*g3^4*t^8.926*y)/g2^5 + (2*g1*g3*t^8.951*y)/g2^2 + (2*g1*g2*t^8.975*y)/g3^2 + (2*g3^3*t^8.975*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 73 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. - t^4.167/y - t^4.167*y | detail | |
| 77 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6485 | 0.7964 | 0.8143 | [M:[0.6901, 0.7044], q:[0.8346, 0.8132], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. - t^4.057/y - t^4.057*y | detail | |
| 76 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail | |
| 74 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6079 | 0.7214 | 0.8426 | [M:[0.6995, 1.2812], q:[0.8348, 0.8058], qb:[0.4657, 0.456], phi:[0.3594]] | t^2.099 + t^2.765 + t^3.786 + 2*t^3.815 + 2*t^3.844 + 2*t^3.872 + t^4.197 + t^4.864 + t^4.922 + t^5.531 + t^5.884 + 2*t^5.913 + t^5.942 - 3*t^6. - t^4.078/y - t^4.078*y | detail | |
| 75 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 0.6281 | 0.758 | 0.8286 | [M:[0.6967], q:[0.8359, 0.809], qb:[0.4674, 0.4674], phi:[0.3551]] | t^2.09 + t^2.13 + t^2.805 + 2*t^3.829 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.261 + t^4.895 + 2*t^4.935 + t^5.609 + 2*t^5.919 + 3*t^5.96 - t^6. - t^4.065/y - t^4.065*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 |
|---|---|---|---|---|---|---|---|---|---|
| 39 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail |