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 |
---|---|---|---|---|---|---|---|---|---|
2094 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6006 | 0.757 | 0.7934 | [X:[1.5829], M:[1.0, 0.6685, 0.4171, 1.2513, 0.7487, 0.9144], q:[0.6658, 0.3342], qb:[0.9171, 0.4144], phi:[0.4171]] | [X:[[1]], M:[[0], [-4], [-1], [-3], [3], [5]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | 0 | t^2.005 + t^2.246 + t^2.503 + t^2.743 + t^3. + t^3.241 + t^3.497 + t^3.738 + t^3.754 + t^4.011 + t^4.251 + t^4.492 + t^4.508 + 3*t^4.749 + t^4.989 + 2*t^5.005 + 3*t^5.246 + 2*t^5.487 + t^5.503 + 3*t^5.743 + 2*t^5.984 + t^6.016 + 2*t^6.241 + t^6.257 + 2*t^6.481 + t^6.497 + t^6.513 + 2*t^6.738 + 2*t^6.754 + t^6.979 + t^6.995 + t^7.011 + t^7.235 + 3*t^7.251 + t^7.476 + 4*t^7.492 + 2*t^7.508 + 2*t^7.733 + 3*t^7.749 + 5*t^7.989 - 2*t^8.005 + t^8.021 + 3*t^8.23 + t^8.246 + 5*t^8.487 - t^8.503 + t^8.519 + 3*t^8.727 - t^8.743 + t^8.759 + 5*t^8.984 - t^4.251/y - t^6.257/y - t^6.754/y - t^6.995/y + t^7.251/y + (2*t^7.508)/y + (3*t^7.749)/y + t^7.989/y + t^8.005/y + (4*t^8.246)/y - t^8.262/y + t^8.487/y + (2*t^8.503)/y + (4*t^8.743)/y + (2*t^8.984)/y - t^4.251*y - t^6.257*y - t^6.754*y - t^6.995*y + t^7.251*y + 2*t^7.508*y + 3*t^7.749*y + t^7.989*y + t^8.005*y + 4*t^8.246*y - t^8.262*y + t^8.487*y + 2*t^8.503*y + 4*t^8.743*y + 2*t^8.984*y | t^2.005/g1^4 + g1^3*t^2.246 + t^2.503/g1^2 + g1^5*t^2.743 + t^3. + g1^7*t^3.241 + g1^2*t^3.497 + g1^9*t^3.738 + t^3.754/g1^3 + t^4.011/g1^8 + t^4.251/g1 + g1^6*t^4.492 + t^4.508/g1^6 + 3*g1*t^4.749 + g1^8*t^4.989 + (2*t^5.005)/g1^4 + 3*g1^3*t^5.246 + 2*g1^10*t^5.487 + t^5.503/g1^2 + 3*g1^5*t^5.743 + 2*g1^12*t^5.984 + t^6.016/g1^12 + 2*g1^7*t^6.241 + t^6.257/g1^5 + 2*g1^14*t^6.481 + g1^2*t^6.497 + t^6.513/g1^10 + 2*g1^9*t^6.738 + (2*t^6.754)/g1^3 + g1^16*t^6.979 + g1^4*t^6.995 + t^7.011/g1^8 + g1^11*t^7.235 + (3*t^7.251)/g1 + g1^18*t^7.476 + 4*g1^6*t^7.492 + (2*t^7.508)/g1^6 + 2*g1^13*t^7.733 + 3*g1*t^7.749 + 5*g1^8*t^7.989 - (2*t^8.005)/g1^4 + t^8.021/g1^16 + 3*g1^15*t^8.23 + g1^3*t^8.246 + 5*g1^10*t^8.487 - t^8.503/g1^2 + t^8.519/g1^14 + 3*g1^17*t^8.727 - g1^5*t^8.743 + t^8.759/g1^7 + 5*g1^12*t^8.984 - t^4.251/(g1*y) - t^6.257/(g1^5*y) - t^6.754/(g1^3*y) - (g1^4*t^6.995)/y + t^7.251/(g1*y) + (2*t^7.508)/(g1^6*y) + (3*g1*t^7.749)/y + (g1^8*t^7.989)/y + t^8.005/(g1^4*y) + (4*g1^3*t^8.246)/y - t^8.262/(g1^9*y) + (g1^10*t^8.487)/y + (2*t^8.503)/(g1^2*y) + (4*g1^5*t^8.743)/y + (2*g1^12*t^8.984)/y - (t^4.251*y)/g1 - (t^6.257*y)/g1^5 - (t^6.754*y)/g1^3 - g1^4*t^6.995*y + (t^7.251*y)/g1 + (2*t^7.508*y)/g1^6 + 3*g1*t^7.749*y + g1^8*t^7.989*y + (t^8.005*y)/g1^4 + 4*g1^3*t^8.246*y - (t^8.262*y)/g1^9 + g1^10*t^8.487*y + (2*t^8.503*y)/g1^2 + 4*g1^5*t^8.743*y + 2*g1^12*t^8.984*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 |
---|---|---|---|---|---|---|---|---|
3160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}X_{2}$ | 0.5993 | 0.7502 | 0.7989 | [X:[1.5865, 1.3461], M:[1.0, 0.6539, 0.4135, 1.2404, 0.7596, 0.9326, 0.7213], q:[0.6731, 0.3269], qb:[0.9135, 0.4326], phi:[0.4135]] | t^2.164 + t^2.279 + t^2.481 + t^2.798 + t^3. + t^3.317 + t^3.519 + t^3.721 + t^4.038 + t^4.328 + t^4.443 + t^4.557 + t^4.645 + 2*t^4.76 + 2*t^4.962 + t^5.077 + t^5.164 + 2*t^5.279 + t^5.481 + 2*t^5.596 + 2*t^5.798 + t^5.885 - t^4.24/y - t^4.24*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
951 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y | detail |