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 |
---|---|---|---|---|---|---|---|---|---|
47109 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6567 | 0.8222 | 0.7987 | [M:[0.8639, 0.784, 1.216, 0.8639, 0.784], q:[0.7042, 0.4319], qb:[0.784, 0.3521], phi:[0.4319]] | [M:[[-4], [1], [-1], [-4], [1]], q:[[6], [-2]], qb:[[1], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}M_{5}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.352 + 3*t^2.592 + t^3.169 + t^3.408 + t^3.648 + t^3.887 + 2*t^4.465 + 4*t^4.704 + 5*t^4.944 + 5*t^5.183 + 3*t^5.521 + 4*t^5.76 + t^6. + t^6.24 + t^6.338 + 2*t^6.479 + t^6.577 + 2*t^6.817 + 7*t^7.056 + 6*t^7.296 + 7*t^7.535 + 2*t^7.634 + 9*t^7.775 + 5*t^7.873 + 6*t^8.113 + t^8.352 - 3*t^8.592 + 3*t^8.69 - t^8.831 + 5*t^8.929 - t^4.296/y - t^6.648/y - (3*t^6.887)/y + (4*t^7.704)/y + (7*t^7.944)/y + (3*t^8.183)/y + (2*t^8.521)/y + (5*t^8.76)/y - t^4.296*y - t^6.648*y - 3*t^6.887*y + 4*t^7.704*y + 7*t^7.944*y + 3*t^8.183*y + 2*t^8.521*y + 5*t^8.76*y | 2*g1*t^2.352 + (3*t^2.592)/g1^4 + g1^9*t^3.169 + g1^4*t^3.408 + t^3.648/g1 + t^3.887/g1^6 + 2*g1^7*t^4.465 + 4*g1^2*t^4.704 + (5*t^4.944)/g1^3 + (5*t^5.183)/g1^8 + 3*g1^10*t^5.521 + 4*g1^5*t^5.76 + t^6. + t^6.24/g1^5 + g1^18*t^6.338 + (2*t^6.479)/g1^10 + g1^13*t^6.577 + 2*g1^8*t^6.817 + 7*g1^3*t^7.056 + (6*t^7.296)/g1^2 + (7*t^7.535)/g1^7 + 2*g1^16*t^7.634 + (9*t^7.775)/g1^12 + 5*g1^11*t^7.873 + 6*g1^6*t^8.113 + g1*t^8.352 - (3*t^8.592)/g1^4 + 3*g1^19*t^8.69 - t^8.831/g1^9 + 5*g1^14*t^8.929 - t^4.296/(g1^2*y) - t^6.648/(g1*y) - (3*t^6.887)/(g1^6*y) + (4*g1^2*t^7.704)/y + (7*t^7.944)/(g1^3*y) + (3*t^8.183)/(g1^8*y) + (2*g1^10*t^8.521)/y + (5*g1^5*t^8.76)/y - (t^4.296*y)/g1^2 - (t^6.648*y)/g1 - (3*t^6.887*y)/g1^6 + 4*g1^2*t^7.704*y + (7*t^7.944*y)/g1^3 + (3*t^8.183*y)/g1^8 + 2*g1^10*t^8.521*y + 5*g1^5*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
55540 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6742 | 0.8533 | 0.7901 | [M:[0.8665, 0.7834, 1.2166, 0.8665, 0.7834, 0.7834], q:[0.7003, 0.4332], qb:[0.7834, 0.3502], phi:[0.4332]] | 3*t^2.35 + 3*t^2.599 + t^3.151 + t^3.401 + t^3.899 + 2*t^4.451 + 7*t^4.7 + 8*t^4.95 + 5*t^5.199 + 4*t^5.502 + 5*t^5.751 - t^6. - t^4.3/y - t^4.3*y | detail | |
55512 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6694 | 0.8436 | 0.7935 | [M:[0.8494, 0.7877, 1.2123, 0.8494, 0.7877, 0.8494], q:[0.726, 0.4247], qb:[0.7877, 0.363], phi:[0.4247]] | 2*t^2.363 + 4*t^2.548 + t^3.267 + t^3.637 + t^3.822 + 2*t^4.541 + 4*t^4.726 + 7*t^4.911 + 9*t^5.096 + 3*t^5.63 + 3*t^5.815 - 2*t^6. - t^4.274/y - t^4.274*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 |
---|---|---|---|---|---|---|---|---|---|
46428 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6393 | 0.7913 | 0.808 | [M:[0.8612, 0.7847, 1.2153, 0.8612], q:[0.7081, 0.4306], qb:[0.7847, 0.3541], phi:[0.4306]] | t^2.354 + 3*t^2.584 + t^3.187 + t^3.416 + 2*t^3.646 + t^3.876 + 2*t^4.479 + 2*t^4.708 + 2*t^4.938 + 5*t^5.167 + 2*t^5.541 + 3*t^5.77 + t^6. - t^4.292/y - t^4.292*y | detail |