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 |
|---|---|---|---|---|---|---|---|---|---|
| 57336 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3291 | 1.4869 | 0.8939 | [X:[1.4388], M:[0.8418], q:[0.6786, 0.3981], qb:[0.7602, 0.4796], phi:[0.2806]] | [X:[[0, 2]], M:[[0, -3]], q:[[2, 1], [-1, 4]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | 0 | 2*t^2.525 + t^2.633 + 2*t^3.475 + 5*t^4.316 + 3*t^5.051 + 3*t^5.158 + 2*t^5.266 + 5*t^6.108 + 6*t^6.842 + 8*t^6.949 + 4*t^7.576 + 2*t^7.684 + 10*t^7.791 + 2*t^7.899 - 4*t^8.525 + 14*t^8.633 + 7*t^8.741 + t^8.525/y^2 - t^3.842/y - t^4.684/y - (2*t^6.367)/y - t^6.475/y - (2*t^7.209)/y - (2*t^7.316)/y + t^8.051/y - t^8.158/y - (3*t^8.892)/y - t^3.842*y - t^4.684*y - 2*t^6.367*y - t^6.475*y - 2*t^7.209*y - 2*t^7.316*y + t^8.051*y - t^8.158*y - 3*t^8.892*y + t^8.525*y^2 | (2*t^2.525)/g2^3 + g2^4*t^2.633 + g1^3*g2*t^3.475 + (g2^5*t^3.475)/g1^3 + g1^3*t^4.316 + 3*g2^2*t^4.316 + (g2^4*t^4.316)/g1^3 + (3*t^5.051)/g2^6 + 3*g2*t^5.158 + 2*g2^8*t^5.266 - 2*t^6. + (g1^3*t^6.)/g2^2 + (g2^2*t^6.)/g1^3 + 2*g1^3*g2^5*t^6.108 + g2^7*t^6.108 + (2*g2^9*t^6.108)/g1^3 + (g1^3*t^6.842)/g2^3 + (4*t^6.842)/g2 + (g2*t^6.842)/g1^3 + g1^6*g2^2*t^6.949 + g1^3*g2^4*t^6.949 + 4*g2^6*t^6.949 + (g2^8*t^6.949)/g1^3 + (g2^10*t^6.949)/g1^6 + (4*t^7.576)/g2^9 - t^7.684/g1^3 - (g1^3*t^7.684)/g2^4 + (4*t^7.684)/g2^2 + g1^6*g2*t^7.791 + 2*g1^3*g2^3*t^7.791 + 4*g2^5*t^7.791 + (2*g2^7*t^7.791)/g1^3 + (g2^9*t^7.791)/g1^6 + 2*g2^12*t^7.899 - (4*t^8.525)/g2^3 + g1^6*t^8.633 + 5*g1^3*g2^2*t^8.633 + 2*g2^4*t^8.633 + (5*g2^6*t^8.633)/g1^3 + (g2^8*t^8.633)/g1^6 + 3*g1^3*g2^9*t^8.741 + g2^11*t^8.741 + (3*g2^13*t^8.741)/g1^3 + t^8.525/(g2^3*y^2) - t^3.842/(g2*y) - t^4.684/(g2^2*y) - (2*t^6.367)/(g2^4*y) - (g2^3*t^6.475)/y - (2*t^7.209)/(g2^5*y) - (g1^3*t^7.316)/y - (g2^4*t^7.316)/(g1^3*y) + t^8.051/(g2^6*y) - (g1^3*t^8.158)/(g2*y) + (g2*t^8.158)/y - (g2^3*t^8.158)/(g1^3*y) - (3*t^8.892)/(g2^7*y) - (t^3.842*y)/g2 - (t^4.684*y)/g2^2 - (2*t^6.367*y)/g2^4 - g2^3*t^6.475*y - (2*t^7.209*y)/g2^5 - g1^3*t^7.316*y - (g2^4*t^7.316*y)/g1^3 + (t^8.051*y)/g2^6 - (g1^3*t^8.158*y)/g2 + g2*t^8.158*y - (g2^3*t^8.158*y)/g1^3 - (3*t^8.892*y)/g2^7 + (t^8.525*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 58114 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3443 | 1.5127 | 0.8887 | [X:[1.4458], M:[0.8314, 0.7994], q:[0.708, 0.3989], qb:[0.7377, 0.4926], phi:[0.2771]] | t^2.4 + 2*t^2.49 + t^2.67 + t^3.41 + t^4.24 + 3*t^4.34 + t^4.43 + t^4.8 + 2*t^4.89 + 3*t^4.99 + t^5.07 + 3*t^5.17 + 2*t^5.35 + t^5.81 + t^5.9 - 2*t^6. - t^3.83/y - t^4.66/y - t^3.83*y - t^4.66*y | detail | |
| 58111 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.1019 | 1.2338 | 0.8931 | [X:[1.5309], M:[0.7036], q:[1.0988, 0.3951], qb:[0.4321, 0.6667], phi:[0.2345]] | 2*t^2.11 + t^2.48 + 2*t^3.19 + 3*t^4.22 + 4*t^4.59 + t^4.96 + 5*t^5.3 + 3*t^5.67 - 2*t^6. - t^3.7/y - t^4.41/y - (2*t^5.81)/y - t^3.7*y - t^4.41*y - 2*t^5.81*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47891 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3396 | 1.5052 | 0.8899 | [X:[1.4109], M:[0.8836], q:[0.7055, 0.4109], qb:[0.7055, 0.4109], phi:[0.2945]] | t^2.466 + 2*t^2.651 + 2*t^3.349 + 5*t^4.233 + t^4.931 + 3*t^5.116 + 3*t^5.302 + 2*t^5.466 + 2*t^5.815 - t^6. - t^3.884/y - t^4.767/y - t^3.884*y - t^4.767*y | detail |