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 |
|---|---|---|---|---|---|---|---|---|---|
| 46995 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6384 | 0.793 | 0.805 | [M:[1.1551, 0.688, 0.8449, 0.8521, 1.1479, 0.7629], q:[0.426, 0.4189], qb:[0.8859, 0.729], phi:[0.385]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [6, 8], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.064 + t^2.289 + t^2.31 + t^2.535 + t^3.444 + t^3.465 + t^3.668 + t^3.69 + t^3.914 + t^4.128 + t^4.353 + t^4.374 + t^4.577 + 2*t^4.599 + t^4.62 + t^4.823 + 2*t^4.845 + t^5.069 + t^5.508 + t^5.529 + 2*t^5.732 + 2*t^5.754 + t^5.957 + 3*t^5.979 - t^6. - t^6.021 + t^6.192 + 2*t^6.203 + t^6.225 - t^6.246 + t^6.417 + t^6.438 + t^6.449 + t^6.641 + 2*t^6.663 + t^6.684 + t^6.866 + 3*t^6.888 + 3*t^6.909 + t^6.931 + 2*t^7.112 + 3*t^7.134 - t^7.177 + t^7.337 + 2*t^7.358 - 2*t^7.401 + t^7.572 + t^7.583 + t^7.593 + t^7.604 - t^7.626 + 2*t^7.797 + 2*t^7.818 + t^7.829 + 2*t^8.021 + 4*t^8.043 - t^8.064 - t^8.086 + t^8.246 + t^8.256 + 4*t^8.267 - 3*t^8.31 - t^8.332 + t^8.481 + 2*t^8.492 + t^8.502 + 3*t^8.513 - 3*t^8.535 - 3*t^8.556 + t^8.706 + 2*t^8.727 + 2*t^8.738 + t^8.749 + t^8.759 - 2*t^8.781 + t^8.93 + 3*t^8.952 + 3*t^8.973 + t^8.984 + t^8.995 - t^4.155/y - t^6.219/y - t^6.444/y - t^6.465/y + t^7.353/y + t^7.374/y + (2*t^7.599)/y + t^7.823/y + (2*t^7.845)/y + t^7.866/y + t^8.091/y - t^8.283/y + t^8.732/y + (2*t^8.754)/y + t^8.957/y + (4*t^8.979)/y - t^4.155*y - t^6.219*y - t^6.444*y - t^6.465*y + t^7.353*y + t^7.374*y + 2*t^7.599*y + t^7.823*y + 2*t^7.845*y + t^7.866*y + t^8.091*y - t^8.283*y + t^8.732*y + 2*t^8.754*y + t^8.957*y + 4*t^8.979*y | g1^2*g2^4*t^2.064 + g1^7*g2^9*t^2.289 + t^2.31/(g1^2*g2^2) + g1^3*g2^3*t^2.535 + g1^6*g2^8*t^3.444 + t^3.465/(g1^3*g2^3) + g1^11*g2^13*t^3.668 + g1^2*g2^2*t^3.69 + g1^7*g2^7*t^3.914 + g1^4*g2^8*t^4.128 + g1^9*g2^13*t^4.353 + g2^2*t^4.374 + g1^14*g2^18*t^4.577 + 2*g1^5*g2^7*t^4.599 + t^4.62/(g1^4*g2^4) + g1^10*g2^12*t^4.823 + 2*g1*g2*t^4.845 + g1^6*g2^6*t^5.069 + g1^8*g2^12*t^5.508 + (g2*t^5.529)/g1 + 2*g1^13*g2^17*t^5.732 + 2*g1^4*g2^6*t^5.754 + g1^18*g2^22*t^5.957 + 3*g1^9*g2^11*t^5.979 - t^6. - t^6.021/(g1^9*g2^11) + g1^6*g2^12*t^6.192 + 2*g1^14*g2^16*t^6.203 + g1^5*g2^5*t^6.225 - t^6.246/(g1^4*g2^6) + g1^11*g2^17*t^6.417 + g1^2*g2^6*t^6.438 + g1^10*g2^10*t^6.449 + g1^16*g2^22*t^6.641 + 2*g1^7*g2^11*t^6.663 + t^6.684/g1^2 + g1^21*g2^27*t^6.866 + 3*g1^12*g2^16*t^6.888 + 3*g1^3*g2^5*t^6.909 + t^6.931/(g1^6*g2^6) + 2*g1^17*g2^21*t^7.112 + 3*g1^8*g2^10*t^7.134 - t^7.177/(g1^10*g2^12) + g1^22*g2^26*t^7.337 + 2*g1^13*g2^15*t^7.358 - (2*t^7.401)/(g1^5*g2^7) + g1^10*g2^16*t^7.572 + g1^18*g2^20*t^7.583 + g1*g2^5*t^7.593 + g1^9*g2^9*t^7.604 - t^7.626/g2^2 + 2*g1^15*g2^21*t^7.797 + 2*g1^6*g2^10*t^7.818 + g1^14*g2^14*t^7.829 + 2*g1^20*g2^26*t^8.021 + 4*g1^11*g2^15*t^8.043 - g1^2*g2^4*t^8.064 - t^8.086/(g1^7*g2^7) + g1^25*g2^31*t^8.246 + g1^8*g2^16*t^8.256 + 4*g1^16*g2^20*t^8.267 - (3*t^8.31)/(g1^2*g2^2) - t^8.332/(g1^11*g2^13) + g1^13*g2^21*t^8.481 + 2*g1^21*g2^25*t^8.492 + g1^4*g2^10*t^8.502 + 3*g1^12*g2^14*t^8.513 - 3*g1^3*g2^3*t^8.535 - (3*t^8.556)/(g1^6*g2^8) + g1^18*g2^26*t^8.706 + 2*g1^9*g2^15*t^8.727 + 2*g1^17*g2^19*t^8.738 + g2^4*t^8.749 + g1^8*g2^8*t^8.759 - (2*t^8.781)/(g1*g2^3) + g1^23*g2^31*t^8.93 + 3*g1^14*g2^20*t^8.952 + 3*g1^5*g2^9*t^8.973 + g1^13*g2^13*t^8.984 + t^8.995/(g1^4*g2^2) - t^4.155/(g1*g2*y) - (g1*g2^3*t^6.219)/y - (g1^6*g2^8*t^6.444)/y - t^6.465/(g1^3*g2^3*y) + (g1^9*g2^13*t^7.353)/y + (g2^2*t^7.374)/y + (2*g1^5*g2^7*t^7.599)/y + (g1^10*g2^12*t^7.823)/y + (2*g1*g2*t^7.845)/y + t^7.866/(g1^8*g2^10*y) + t^8.091/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.283)/y + (g1^13*g2^17*t^8.732)/y + (2*g1^4*g2^6*t^8.754)/y + (g1^18*g2^22*t^8.957)/y + (4*g1^9*g2^11*t^8.979)/y - (t^4.155*y)/(g1*g2) - g1*g2^3*t^6.219*y - g1^6*g2^8*t^6.444*y - (t^6.465*y)/(g1^3*g2^3) + g1^9*g2^13*t^7.353*y + g2^2*t^7.374*y + 2*g1^5*g2^7*t^7.599*y + g1^10*g2^12*t^7.823*y + 2*g1*g2*t^7.845*y + (t^7.866*y)/(g1^8*g2^10) + (t^8.091*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.283*y + g1^13*g2^17*t^8.732*y + 2*g1^4*g2^6*t^8.754*y + g1^18*g2^22*t^8.957*y + 4*g1^9*g2^11*t^8.979*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 50774 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6301 | 0.7812 | 0.8066 | [M:[1.2032, 0.7968, 0.7968, 0.8075, 1.1925, 0.7914], q:[0.4038, 0.393], qb:[0.7995, 0.7995], phi:[0.4011]] | t^2.374 + 2*t^2.39 + t^2.406 + t^3.561 + 2*t^3.577 + t^3.594 + t^3.61 + t^4.748 + 2*t^4.764 + 4*t^4.781 + 3*t^4.797 + t^4.813 + t^5.935 + 4*t^5.952 + 5*t^5.968 + 3*t^5.984 - t^4.203/y - t^4.203*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46616 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6206 | 0.7586 | 0.8181 | [M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | t^2.122 + t^2.299 + t^2.552 + t^3.448 + t^3.525 + t^3.625 + t^3.701 + t^3.778 + t^3.954 + t^4.245 + t^4.421 + t^4.598 + t^4.674 + 2*t^4.851 + t^5.103 + t^5.571 + t^5.647 + t^5.747 + t^5.824 + t^5.9 - t^6. - t^4.149/y - t^4.149*y | detail |