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 |
|---|---|---|---|---|---|---|---|---|---|
| 1166 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6686 | 0.8353 | 0.8005 | [M:[1.1423, 1.0955, 0.9278, 0.8577, 0.69, 0.8811], q:[0.7739, 0.345], qb:[0.5127, 0.5595], phi:[0.4522]] | [M:[[8], [-4], [10], [-8], [6], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.07 + t^2.573 + t^2.643 + t^2.713 + t^2.784 + t^3.287 + t^3.427 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.433 + t^4.573 + t^4.643 + 2*t^4.713 + t^4.784 + t^4.854 + t^5.146 + t^5.216 + 2*t^5.287 + 2*t^5.357 + 2*t^5.427 + t^5.497 + t^5.567 + 2*t^5.93 - t^6. + 2*t^6.07 + t^6.14 + 2*t^6.21 + t^6.433 + t^6.503 + t^6.573 + t^6.643 + t^6.713 + 3*t^6.784 + 2*t^6.854 + t^6.924 + t^7.006 + t^7.076 + 2*t^7.146 + t^7.216 + 2*t^7.287 + 2*t^7.357 + 3*t^7.427 + 3*t^7.497 + t^7.567 + t^7.637 + 2*t^7.72 + 2*t^7.86 + t^7.93 + 3*t^8. + 4*t^8.14 + 2*t^8.21 + 2*t^8.28 + t^8.293 + t^8.351 + t^8.433 + t^8.573 - 2*t^8.643 + t^8.713 - t^8.784 + 4*t^8.854 + t^8.866 + 2*t^8.924 + 2*t^8.994 - t^4.357/y - t^6.427/y - t^7./y - t^7.14/y + t^7.573/y + t^7.643/y + (2*t^7.713)/y + t^7.784/y + t^7.854/y + t^8.216/y + (2*t^8.287)/y + (3*t^8.357)/y + t^8.427/y + t^8.497/y + t^8.86/y + (2*t^8.93)/y - t^4.357*y - t^6.427*y - t^7.*y - t^7.14*y + t^7.573*y + t^7.643*y + 2*t^7.713*y + t^7.784*y + t^7.854*y + t^8.216*y + 2*t^8.287*y + 3*t^8.357*y + t^8.427*y + t^8.497*y + t^8.86*y + 2*t^8.93*y | g1^6*t^2.07 + t^2.573/g1^8 + t^2.643/g1^2 + g1^4*t^2.713 + g1^10*t^2.784 + t^3.287/g1^4 + g1^8*t^3.427 + t^3.86/g1^12 + t^4. + g1^6*t^4.07 + g1^12*t^4.14 + t^4.433/g1^20 + t^4.573/g1^8 + t^4.643/g1^2 + 2*g1^4*t^4.713 + g1^10*t^4.784 + g1^16*t^4.854 + t^5.146/g1^16 + t^5.216/g1^10 + (2*t^5.287)/g1^4 + 2*g1^2*t^5.357 + 2*g1^8*t^5.427 + g1^14*t^5.497 + g1^20*t^5.567 + (2*t^5.93)/g1^6 - t^6. + 2*g1^6*t^6.07 + g1^12*t^6.14 + 2*g1^18*t^6.21 + t^6.433/g1^20 + t^6.503/g1^14 + t^6.573/g1^8 + t^6.643/g1^2 + g1^4*t^6.713 + 3*g1^10*t^6.784 + 2*g1^16*t^6.854 + g1^22*t^6.924 + t^7.006/g1^28 + t^7.076/g1^22 + (2*t^7.146)/g1^16 + t^7.216/g1^10 + (2*t^7.287)/g1^4 + 2*g1^2*t^7.357 + 3*g1^8*t^7.427 + 3*g1^14*t^7.497 + g1^20*t^7.567 + g1^26*t^7.637 + (2*t^7.72)/g1^24 + (2*t^7.86)/g1^12 + t^7.93/g1^6 + 3*t^8. + 4*g1^12*t^8.14 + 2*g1^18*t^8.21 + 2*g1^24*t^8.28 + t^8.293/g1^32 + g1^30*t^8.351 + t^8.433/g1^20 + t^8.573/g1^8 - (2*t^8.643)/g1^2 + g1^4*t^8.713 - g1^10*t^8.784 + 4*g1^16*t^8.854 + t^8.866/g1^40 + 2*g1^22*t^8.924 + 2*g1^28*t^8.994 - (g1^2*t^4.357)/y - (g1^8*t^6.427)/y - t^7./y - (g1^12*t^7.14)/y + t^7.573/(g1^8*y) + t^7.643/(g1^2*y) + (2*g1^4*t^7.713)/y + (g1^10*t^7.784)/y + (g1^16*t^7.854)/y + t^8.216/(g1^10*y) + (2*t^8.287)/(g1^4*y) + (3*g1^2*t^8.357)/y + (g1^8*t^8.427)/y + (g1^14*t^8.497)/y + t^8.86/(g1^12*y) + (2*t^8.93)/(g1^6*y) - g1^2*t^4.357*y - g1^8*t^6.427*y - t^7.*y - g1^12*t^7.14*y + (t^7.573*y)/g1^8 + (t^7.643*y)/g1^2 + 2*g1^4*t^7.713*y + g1^10*t^7.784*y + g1^16*t^7.854*y + (t^8.216*y)/g1^10 + (2*t^8.287*y)/g1^4 + 3*g1^2*t^8.357*y + g1^8*t^8.427*y + g1^14*t^8.497*y + (t^8.86*y)/g1^12 + (2*t^8.93*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2220 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6818 | 0.8585 | 0.7942 | [M:[1.1598, 1.0868, 0.9497, 0.8402, 0.7032, 0.8767, 0.8402], q:[0.7717, 0.3516], qb:[0.4886, 0.5616], phi:[0.4566]] | t^2.109 + 2*t^2.521 + t^2.63 + t^2.74 + t^2.849 + t^3.26 + t^3.781 + t^4. + t^4.109 + t^4.219 + t^4.302 + t^4.521 + 2*t^4.63 + 2*t^4.74 + t^4.849 + t^4.959 + 3*t^5.041 + 2*t^5.151 + 3*t^5.26 + 3*t^5.37 + 2*t^5.479 + t^5.698 + t^5.781 + 2*t^5.891 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2218 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6635 | 0.8279 | 0.8015 | [M:[1.1701, 1.0816, 0.9627, 0.8299, 0.7109, 0.8741, 1.0373], q:[0.7704, 0.3555], qb:[0.4744, 0.5629], phi:[0.4592]] | t^2.133 + t^2.49 + t^2.622 + t^2.755 + t^3.112 + t^3.245 + t^3.51 + t^3.734 + t^4. + t^4.133 + t^4.224 + t^4.266 + t^4.49 + t^4.622 + 2*t^4.755 + t^4.888 + t^4.979 + t^5.112 + 3*t^5.245 + t^5.378 + t^5.51 + t^5.602 + t^5.734 + 3*t^5.867 - t^6. - t^4.378/y - t^4.378*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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail |