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 |
---|---|---|---|---|---|---|---|---|---|
2836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6243 | 0.8111 | 0.7697 | [M:[0.9947, 1.0159, 1.0053, 0.7434, 0.7646], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | [M:[[4], [-12], [-4], [5], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.23 + t^2.262 + t^2.294 + 2*t^3.016 + 2*t^3.048 + 2*t^3.738 + t^4.429 + 4*t^4.46 + 3*t^4.492 + 3*t^4.524 + t^4.556 + t^4.587 + 4*t^5.246 + 5*t^5.278 + 3*t^5.31 + 2*t^5.341 + 2*t^5.968 - 2*t^6. + 2*t^6.032 + 4*t^6.064 + 3*t^6.095 + 2*t^6.659 + 5*t^6.69 + 3*t^6.722 + 7*t^6.754 + 5*t^6.786 + 2*t^6.817 + t^6.849 + t^6.881 - t^7.413 + 7*t^7.476 + 7*t^7.508 + 7*t^7.54 + 6*t^7.571 + 3*t^7.603 + 2*t^7.635 + t^8.167 - 7*t^8.23 + 4*t^8.294 + 8*t^8.325 + 5*t^8.357 + 3*t^8.389 + t^8.857 + 4*t^8.889 + 7*t^8.921 + 3*t^8.952 + 6*t^8.984 - t^4.508/y - t^6.738/y - t^6.802/y + (2*t^7.46)/y + (3*t^7.492)/y + t^7.524/y + t^8.214/y + (4*t^8.246)/y + (7*t^8.278)/y + (4*t^8.31)/y + (2*t^8.341)/y + (3*t^8.968)/y - t^4.508*y - t^6.738*y - t^6.802*y + 2*t^7.46*y + 3*t^7.492*y + t^7.524*y + t^8.214*y + 4*t^8.246*y + 7*t^8.278*y + 4*t^8.31*y + 2*t^8.341*y + 3*t^8.968*y | 2*g1^5*t^2.23 + t^2.262/g1^3 + t^2.294/g1^11 + (2*t^3.016)/g1^4 + (2*t^3.048)/g1^12 + 2*g1^3*t^3.738 + g1^18*t^4.429 + 4*g1^10*t^4.46 + 3*g1^2*t^4.492 + (3*t^4.524)/g1^6 + t^4.556/g1^14 + t^4.587/g1^22 + 4*g1*t^5.246 + (5*t^5.278)/g1^7 + (3*t^5.31)/g1^15 + (2*t^5.341)/g1^23 + 2*g1^8*t^5.968 - 2*t^6. + (2*t^6.032)/g1^8 + (4*t^6.064)/g1^16 + (3*t^6.095)/g1^24 + 2*g1^23*t^6.659 + 5*g1^15*t^6.69 + 3*g1^7*t^6.722 + (7*t^6.754)/g1 + (5*t^6.786)/g1^9 + (2*t^6.817)/g1^17 + t^6.849/g1^25 + t^6.881/g1^33 - g1^22*t^7.413 + 7*g1^6*t^7.476 + (7*t^7.508)/g1^2 + (7*t^7.54)/g1^10 + (6*t^7.571)/g1^18 + (3*t^7.603)/g1^26 + (2*t^7.635)/g1^34 + g1^21*t^8.167 - 7*g1^5*t^8.23 + (4*t^8.294)/g1^11 + (8*t^8.325)/g1^19 + (5*t^8.357)/g1^27 + (3*t^8.389)/g1^35 + g1^36*t^8.857 + 4*g1^28*t^8.889 + 7*g1^20*t^8.921 + 3*g1^12*t^8.952 + 6*g1^4*t^8.984 - t^4.508/(g1^2*y) - (g1^3*t^6.738)/y - t^6.802/(g1^13*y) + (2*g1^10*t^7.46)/y + (3*g1^2*t^7.492)/y + t^7.524/(g1^6*y) + (g1^9*t^8.214)/y + (4*g1*t^8.246)/y + (7*t^8.278)/(g1^7*y) + (4*t^8.31)/(g1^15*y) + (2*t^8.341)/(g1^23*y) + (3*g1^8*t^8.968)/y - (t^4.508*y)/g1^2 - g1^3*t^6.738*y - (t^6.802*y)/g1^13 + 2*g1^10*t^7.46*y + 3*g1^2*t^7.492*y + (t^7.524*y)/g1^6 + g1^9*t^8.214*y + 4*g1*t^8.246*y + (7*t^8.278*y)/g1^7 + (4*t^8.31*y)/g1^15 + (2*t^8.341*y)/g1^23 + 3*g1^8*t^8.968*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 |
---|---|---|---|---|---|---|---|---|
3387 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6105 | 0.7926 | 0.7703 | [M:[0.9565, 1.1304, 1.0435, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.087 + t^2.348 + t^2.609 + 2*t^3.13 + 2*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 3*t^4.696 + t^4.957 + 5*t^5.217 + 5*t^5.478 + 5*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 118851/194672, c: 77147/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 16/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
1818 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6064 | 0.7789 | 0.7785 | [M:[0.9868, 1.0396, 1.0132, 0.7335], q:[0.7467, 0.2665], qb:[0.4934, 0.467], phi:[0.5066]] | 2*t^2.2 + t^2.28 + 2*t^3.04 + 2*t^3.119 + t^3.641 + 2*t^3.72 + t^4.322 + 4*t^4.401 + 3*t^4.48 + t^4.559 + 4*t^5.24 + 5*t^5.319 + t^5.399 + 2*t^5.841 + 3*t^5.921 - 2*t^6. - t^4.52/y - t^4.52*y | detail |