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 |
---|---|---|---|---|---|---|---|---|---|
2956 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6227 | 0.7666 | 0.8123 | [X:[1.6146], M:[0.8438, 0.6979, 1.1562, 0.3854, 1.2292, 0.6979], q:[0.3854, 0.7708], qb:[0.4583, 0.8438], phi:[0.3854]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [2], [-7]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.094 + t^2.531 + 2*t^3.469 + 4*t^3.688 + 3*t^4.187 + 2*t^4.625 + t^4.844 + t^5.063 + 4*t^5.562 + 6*t^5.781 - 3*t^6. + 2*t^6.219 + 4*t^6.281 + 3*t^6.719 + 3*t^6.937 + 4*t^7.156 + 4*t^7.375 - t^7.594 + 6*t^7.656 + 8*t^7.875 - 6*t^8.094 + 3*t^8.312 + 5*t^8.375 - 3*t^8.531 + 4*t^8.812 - t^4.156/y - (2*t^6.25)/y + t^7.187/y + (2*t^7.625)/y + (2*t^8.063)/y - (3*t^8.344)/y + (4*t^8.562)/y + (8*t^8.781)/y - t^4.156*y - 2*t^6.25*y + t^7.187*y + 2*t^7.625*y + 2*t^8.063*y - 3*t^8.344*y + 4*t^8.562*y + 8*t^8.781*y | (2*t^2.094)/g1^7 + g1^3*t^2.531 + (2*t^3.469)/g1^3 + 4*g1^2*t^3.688 + (3*t^4.187)/g1^14 + (2*t^4.625)/g1^4 + g1*t^4.844 + g1^6*t^5.063 + (4*t^5.562)/g1^10 + (6*t^5.781)/g1^5 - 3*t^6. + 2*g1^5*t^6.219 + (4*t^6.281)/g1^21 + (3*t^6.719)/g1^11 + (3*t^6.937)/g1^6 + (4*t^7.156)/g1 + 4*g1^4*t^7.375 - g1^9*t^7.594 + (6*t^7.656)/g1^17 + (8*t^7.875)/g1^12 - (6*t^8.094)/g1^7 + (3*t^8.312)/g1^2 + (5*t^8.375)/g1^28 - 3*g1^3*t^8.531 + (4*t^8.812)/g1^18 - t^4.156/(g1*y) - (2*t^6.25)/(g1^8*y) + t^7.187/(g1^14*y) + (2*t^7.625)/(g1^4*y) + (2*g1^6*t^8.063)/y - (3*t^8.344)/(g1^15*y) + (4*t^8.562)/(g1^10*y) + (8*t^8.781)/(g1^5*y) - (t^4.156*y)/g1 - (2*t^6.25*y)/g1^8 + (t^7.187*y)/g1^14 + (2*t^7.625*y)/g1^4 + 2*g1^6*t^8.063*y - (3*t^8.344*y)/g1^15 + (4*t^8.562*y)/g1^10 + (8*t^8.781*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
1921 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.8384, 0.7104, 1.1616, 0.3872, 1.2256], q:[0.3872, 0.7744], qb:[0.4512, 0.8384], phi:[0.3872]] | t^2.131 + t^2.515 + 2*t^3.485 + 4*t^3.677 + t^3.869 + t^4.263 + t^4.646 + t^4.838 + t^5.03 + 2*t^5.616 + 2*t^5.808 - 2*t^6. - t^4.162/y - t^4.162*y | detail |