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 |
---|---|---|---|---|---|---|---|---|---|
1208 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6342 | 0.7862 | 0.8067 | [M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]] | [M:[[-6], [-14], [6], [6], [-6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.232 + 2*t^2.352 + t^2.472 + t^3.407 + 2*t^3.528 + t^3.768 + t^3.889 + t^4.463 + 2*t^4.583 + 4*t^4.704 + 3*t^4.824 + t^4.944 + t^5.639 + 3*t^5.759 + 3*t^5.88 + t^6.12 + 2*t^6.241 + t^6.361 + t^6.695 + 3*t^6.815 + 5*t^6.935 + 7*t^7.056 + 3*t^7.176 + t^7.296 + t^7.657 + t^7.778 + t^7.871 + 3*t^7.991 + 4*t^8.111 + 3*t^8.232 - t^8.352 - 2*t^8.472 + t^8.593 + 2*t^8.713 + t^8.833 + t^8.926 - t^4.176/y - t^6.407/y - (2*t^6.528)/y + (2*t^7.583)/y + (2*t^7.704)/y + (4*t^7.824)/y + t^7.944/y + (2*t^8.759)/y + (2*t^8.88)/y - t^4.176*y - t^6.407*y - 2*t^6.528*y + 2*t^7.583*y + 2*t^7.704*y + 4*t^7.824*y + t^7.944*y + 2*t^8.759*y + 2*t^8.88*y | t^2.232/g1^14 + (2*t^2.352)/g1^4 + g1^6*t^2.472 + t^3.407/g1^16 + (2*t^3.528)/g1^6 + g1^14*t^3.768 + g1^24*t^3.889 + t^4.463/g1^28 + (2*t^4.583)/g1^18 + (4*t^4.704)/g1^8 + 3*g1^2*t^4.824 + g1^12*t^4.944 + t^5.639/g1^30 + (3*t^5.759)/g1^20 + (3*t^5.88)/g1^10 + g1^10*t^6.12 + 2*g1^20*t^6.241 + g1^30*t^6.361 + t^6.695/g1^42 + (3*t^6.815)/g1^32 + (5*t^6.935)/g1^22 + (7*t^7.056)/g1^12 + (3*t^7.176)/g1^2 + g1^8*t^7.296 + g1^38*t^7.657 + g1^48*t^7.778 + t^7.871/g1^44 + (3*t^7.991)/g1^34 + (4*t^8.111)/g1^24 + (3*t^8.232)/g1^14 - t^8.352/g1^4 - 2*g1^6*t^8.472 + g1^16*t^8.593 + 2*g1^26*t^8.713 + g1^36*t^8.833 + t^8.926/g1^56 - t^4.176/(g1^2*y) - t^6.407/(g1^16*y) - (2*t^6.528)/(g1^6*y) + (2*t^7.583)/(g1^18*y) + (2*t^7.704)/(g1^8*y) + (4*g1^2*t^7.824)/y + (g1^12*t^7.944)/y + (2*t^8.759)/(g1^20*y) + (2*t^8.88)/(g1^10*y) - (t^4.176*y)/g1^2 - (t^6.407*y)/g1^16 - (2*t^6.528*y)/g1^6 + (2*t^7.583*y)/g1^18 + (2*t^7.704*y)/g1^8 + 4*g1^2*t^7.824*y + g1^12*t^7.944*y + (2*t^8.759*y)/g1^20 + (2*t^8.88*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
2259 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6152 | 0.7517 | 0.8185 | [M:[1.1833, 0.761, 0.8167, 0.8167, 1.1833, 0.7888, 1.239], q:[0.8028, 0.4363], qb:[0.3805, 0.8028], phi:[0.3944]] | 2*t^2.367 + t^2.45 + t^3.466 + 2*t^3.55 + 2*t^3.717 + t^3.801 + 3*t^4.733 + 3*t^4.817 + t^4.9 + t^5.833 + 3*t^5.916 - t^6. - t^4.183/y - t^4.183*y | detail | |
2256 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6548 | 0.8265 | 0.7923 | [M:[1.1725, 0.7357, 0.8275, 0.8275, 1.1725, 0.7816, 0.6898], q:[0.8046, 0.4597], qb:[0.3679, 0.8046], phi:[0.3908]] | t^2.069 + t^2.207 + 2*t^2.345 + t^2.483 + t^3.38 + 2*t^3.517 + t^3.793 + t^4.139 + t^4.277 + 3*t^4.414 + 3*t^4.552 + 4*t^4.69 + 3*t^4.828 + t^4.965 + t^5.449 + 3*t^5.587 + 3*t^5.725 + 4*t^5.862 - t^4.172/y - t^4.172*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 |
---|---|---|---|---|---|---|---|---|---|
736 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ | 0.6168 | 0.7552 | 0.8167 | [M:[1.1785, 0.7498, 0.8215, 0.8215, 1.1785], q:[0.8036, 0.4467], qb:[0.3749, 0.8036], phi:[0.3928]] | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. - t^4.178/y - t^4.178*y | detail |