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 |
---|---|---|---|---|---|---|---|---|---|
2658 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6385 | 0.774 | 0.8249 | [M:[0.99, 0.7789, 0.9372, 0.8317, 1.1683, 1.1156, 1.2211], q:[0.6206, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | [M:[[-18], [2], [-13], [-3], [3], [8], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.495 + t^2.812 + t^2.97 + t^3.347 + t^3.505 + 2*t^3.663 + t^3.822 + t^3.98 + t^4.198 + t^4.357 + t^4.515 + t^4.99 + t^5.05 + t^5.623 + t^5.781 + t^5.94 - 2*t^6. + t^6.158 + 2*t^6.317 + 3*t^6.475 - t^6.535 + 2*t^6.633 + t^6.792 + t^6.95 + 2*t^7.01 + 2*t^7.168 + 3*t^7.327 + 3*t^7.485 + t^7.545 + 2*t^7.643 + t^7.703 + t^7.802 + 2*t^7.862 + t^7.96 + 2*t^8.02 + t^8.178 + t^8.397 + t^8.435 - t^8.495 + t^8.555 + t^8.593 - t^8.653 + 2*t^8.714 + t^8.751 - 3*t^8.812 + t^8.91 - 2*t^8.97 - t^4.327/y - t^7.138/y - t^7.297/y + t^7.357/y + t^7.515/y + t^8.307/y + t^8.465/y + t^8.781/y + t^8.842/y - t^4.327*y - t^7.138*y - t^7.297*y + t^7.357*y + t^7.515*y + t^8.307*y + t^8.465*y + t^8.781*y + t^8.842*y | t^2.495/g1^3 + t^2.812/g1^13 + t^2.97/g1^18 + g1^8*t^3.347 + g1^3*t^3.505 + (2*t^3.663)/g1^2 + t^3.822/g1^7 + t^3.98/g1^12 + g1^19*t^4.198 + g1^14*t^4.357 + g1^9*t^4.515 + t^4.99/g1^6 + g1^30*t^5.05 + t^5.623/g1^26 + t^5.781/g1^31 + t^5.94/g1^36 - 2*t^6. + t^6.158/g1^5 + (2*t^6.317)/g1^10 + (3*t^6.475)/g1^15 - g1^21*t^6.535 + (2*t^6.633)/g1^20 + t^6.792/g1^25 + t^6.95/g1^30 + 2*g1^6*t^7.01 + 2*g1*t^7.168 + (3*t^7.327)/g1^4 + (3*t^7.485)/g1^9 + g1^27*t^7.545 + (2*t^7.643)/g1^14 + g1^22*t^7.703 + t^7.802/g1^19 + 2*g1^17*t^7.862 + t^7.96/g1^24 + 2*g1^12*t^8.02 + g1^7*t^8.178 + g1^38*t^8.397 + t^8.435/g1^39 - t^8.495/g1^3 + g1^33*t^8.555 + t^8.593/g1^44 - t^8.653/g1^8 + 2*g1^28*t^8.714 + t^8.751/g1^49 - (3*t^8.812)/g1^13 + t^8.91/g1^54 - (2*t^8.97)/g1^18 - t^4.327/(g1^4*y) - t^7.138/(g1^17*y) - t^7.297/(g1^22*y) + (g1^14*t^7.357)/y + (g1^9*t^7.515)/y + t^8.307/(g1^16*y) + t^8.465/(g1^21*y) + t^8.781/(g1^31*y) + (g1^5*t^8.842)/y - (t^4.327*y)/g1^4 - (t^7.138*y)/g1^17 - (t^7.297*y)/g1^22 + g1^14*t^7.357*y + g1^9*t^7.515*y + (t^8.307*y)/g1^16 + (t^8.465*y)/g1^21 + (t^8.781*y)/g1^31 + g1^5*t^8.842*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 |
---|---|---|---|---|---|---|---|---|
4855 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.653 | 0.7992 | 0.8171 | [M:[0.9818, 0.7798, 0.9313, 0.8303, 1.1697, 1.1192, 1.2202, 0.8303], q:[0.6283, 0.3899], qb:[0.4404, 0.7798], phi:[0.4404]] | 2*t^2.491 + t^2.794 + t^2.945 + t^3.358 + 2*t^3.661 + t^3.812 + t^3.964 + t^4.224 + t^4.376 + t^4.527 + 3*t^4.982 + t^5.091 + t^5.285 + t^5.436 + t^5.588 + t^5.739 + t^5.848 + t^5.891 - 3*t^6. - t^4.321/y - t^4.321*y | detail | {a: 284453/435600, c: 348143/435600, M1: 54/55, M2: 386/495, M3: 461/495, M4: 137/165, M5: 193/165, M6: 554/495, M7: 604/495, M8: 137/165, q1: 311/495, q2: 193/495, qb1: 218/495, qb2: 386/495, phi1: 218/495} |
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 |
---|---|---|---|---|---|---|---|---|---|
1543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6562 | 0.8056 | 0.8146 | [M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.335 + t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.503 + t^3.665 + t^3.826 + t^3.988 + t^4.186 + t^4.347 + t^4.509 + t^4.671 + t^4.832 + t^4.994 + t^5.03 + t^5.156 + t^5.317 + t^5.641 + t^5.677 + t^5.803 + t^5.838 + t^5.964 - t^6. - t^4.329/y - t^4.329*y | detail |