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 |
---|---|---|---|---|---|---|---|---|---|
46508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6308 | 0.8213 | 0.7681 | [M:[0.6903, 0.6903, 1.0, 0.9045, 1.0477], q:[0.7619, 0.5477], qb:[0.5477, 0.2381], phi:[0.4761]] | [M:[[1, 9], [-1, 1], [0, 0], [0, 8], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}^{2}$ | -4 | 2*t^2.071 + 2*t^2.357 + t^2.714 + t^2.857 + t^3. + t^3.143 + 2*t^3.786 + 3*t^4.142 + 4*t^4.428 + 6*t^4.715 + 2*t^4.785 + 2*t^4.928 + 2*t^5.071 + 4*t^5.214 + 2*t^5.357 + t^5.427 + 2*t^5.501 + t^5.57 + 2*t^5.714 + 5*t^5.857 - 4*t^6. + 4*t^6.143 + 4*t^6.213 + 6*t^6.499 + 10*t^6.786 + 3*t^6.856 - 2*t^6.929 + 3*t^6.999 + 8*t^7.072 + 3*t^7.142 + 7*t^7.285 + 2*t^7.428 + 2*t^7.498 + 8*t^7.572 + 2*t^7.641 + 2*t^7.715 + 4*t^7.785 + 3*t^7.858 + 8*t^7.928 - 6*t^8.071 + t^8.141 + 8*t^8.214 + 6*t^8.284 - 10*t^8.357 + 2*t^8.427 + 8*t^8.501 + 10*t^8.57 - 2*t^8.644 - t^8.714 + 9*t^8.857 + 4*t^8.927 - t^4.428/y - (2*t^6.499)/y + (4*t^7.428)/y + (2*t^7.715)/y + (2*t^7.785)/y + (2*t^7.928)/y + (4*t^8.071)/y + (4*t^8.214)/y + (4*t^8.357)/y + (2*t^8.501)/y - (2*t^8.57)/y + t^8.714/y + (6*t^8.857)/y - t^4.428*y - 2*t^6.499*y + 4*t^7.428*y + 2*t^7.715*y + 2*t^7.785*y + 2*t^7.928*y + 4*t^8.071*y + 4*t^8.214*y + 4*t^8.357*y + 2*t^8.501*y - 2*t^8.57*y + t^8.714*y + 6*t^8.857*y | (g2*t^2.071)/g1 + g1*g2^9*t^2.071 + t^2.357/(g1*g2^7) + g1*g2*t^2.357 + g2^8*t^2.714 + g2^4*t^2.857 + t^3. + t^3.143/g2^4 + t^3.786/(g1*g2^5) + g1*g2^3*t^3.786 + (g2^2*t^4.142)/g1^2 + g2^10*t^4.142 + g1^2*g2^18*t^4.142 + t^4.428/(g1^2*g2^6) + 2*g2^2*t^4.428 + g1^2*g2^10*t^4.428 + (2*t^4.715)/(g1^2*g2^14) + (2*t^4.715)/g2^6 + 2*g1^2*g2^2*t^4.715 + (g2^9*t^4.785)/g1 + g1*g2^17*t^4.785 + (g2^5*t^4.928)/g1 + g1*g2^13*t^4.928 + (g2*t^5.071)/g1 + g1*g2^9*t^5.071 + (2*t^5.214)/(g1*g2^3) + 2*g1*g2^5*t^5.214 + t^5.357/(g1*g2^7) + g1*g2*t^5.357 + g2^16*t^5.427 + t^5.501/(g1*g2^11) + (g1*t^5.501)/g2^3 + g2^12*t^5.57 + 2*g2^8*t^5.714 + t^5.857/(g1^2*g2^4) + 3*g2^4*t^5.857 + g1^2*g2^12*t^5.857 - 2*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.143/(g1^2*g2^12) + (2*t^6.143)/g2^4 + g1^2*g2^4*t^6.143 + (g2^3*t^6.213)/g1^3 + (g2^11*t^6.213)/g1 + g1*g2^19*t^6.213 + g1^3*g2^27*t^6.213 + t^6.499/(g1^3*g2^5) + (2*g2^3*t^6.499)/g1 + 2*g1*g2^11*t^6.499 + g1^3*g2^19*t^6.499 + (2*t^6.786)/(g1^3*g2^13) + (3*t^6.786)/(g1*g2^5) + 3*g1*g2^3*t^6.786 + 2*g1^3*g2^11*t^6.786 + (g2^10*t^6.856)/g1^2 + g2^18*t^6.856 + g1^2*g2^26*t^6.856 - t^6.929/(g1*g2^9) - (g1*t^6.929)/g2 + (g2^6*t^6.999)/g1^2 + g2^14*t^6.999 + g1^2*g2^22*t^6.999 + (2*t^7.072)/(g1^3*g2^21) + (2*t^7.072)/(g1*g2^13) + (2*g1*t^7.072)/g2^5 + 2*g1^3*g2^3*t^7.072 + (g2^2*t^7.142)/g1^2 + g2^10*t^7.142 + g1^2*g2^18*t^7.142 + (2*t^7.285)/(g1^2*g2^2) + 3*g2^6*t^7.285 + 2*g1^2*g2^14*t^7.285 + t^7.428/(g1^2*g2^6) + g1^2*g2^10*t^7.428 + (g2^17*t^7.498)/g1 + g1*g2^25*t^7.498 + (3*t^7.572)/(g1^2*g2^10) + (2*t^7.572)/g2^2 + 3*g1^2*g2^6*t^7.572 + (g2^13*t^7.641)/g1 + g1*g2^21*t^7.641 + t^7.715/(g1^2*g2^14) + g1^2*g2^2*t^7.715 + (2*g2^9*t^7.785)/g1 + 2*g1*g2^17*t^7.785 + t^7.858/(g1^2*g2^18) + t^7.858/g2^10 + (g1^2*t^7.858)/g2^2 + t^7.928/(g1^3*g2^3) + (3*g2^5*t^7.928)/g1 + 3*g1*g2^13*t^7.928 + g1^3*g2^21*t^7.928 - t^8.071/(g1^3*g2^7) - (2*g2*t^8.071)/g1 - 2*g1*g2^9*t^8.071 - g1^3*g2^17*t^8.071 + g2^24*t^8.141 + t^8.214/(g1^3*g2^11) + (3*t^8.214)/(g1*g2^3) + 3*g1*g2^5*t^8.214 + g1^3*g2^13*t^8.214 + (g2^4*t^8.284)/g1^4 + (g2^12*t^8.284)/g1^2 + 2*g2^20*t^8.284 + g1^2*g2^28*t^8.284 + g1^4*g2^36*t^8.284 - t^8.357/(g1^3*g2^15) - (4*t^8.357)/(g1*g2^7) - 4*g1*g2*t^8.357 - g1^3*g2^9*t^8.357 + 2*g2^16*t^8.427 + (2*t^8.501)/(g1^3*g2^19) + (2*t^8.501)/(g1*g2^11) + (2*g1*t^8.501)/g2^3 + 2*g1^3*g2^5*t^8.501 + t^8.57/(g1^4*g2^4) + (2*g2^4*t^8.57)/g1^2 + 4*g2^12*t^8.57 + 2*g1^2*g2^20*t^8.57 + g1^4*g2^28*t^8.57 - t^8.644/(g1*g2^15) - (g1*t^8.644)/g2^7 - g2^8*t^8.714 + (2*t^8.857)/(g1^4*g2^12) + (2*t^8.857)/(g1^2*g2^4) + g2^4*t^8.857 + 2*g1^2*g2^12*t^8.857 + 2*g1^4*g2^20*t^8.857 + (g2^11*t^8.927)/g1^3 + (g2^19*t^8.927)/g1 + g1*g2^27*t^8.927 + g1^3*g2^35*t^8.927 - (g2^2*t^4.428)/y - (g2^3*t^6.499)/(g1*y) - (g1*g2^11*t^6.499)/y + t^7.428/(g1^2*g2^6*y) + (2*g2^2*t^7.428)/y + (g1^2*g2^10*t^7.428)/y + (2*t^7.715)/(g2^6*y) + (g2^9*t^7.785)/(g1*y) + (g1*g2^17*t^7.785)/y + (g2^5*t^7.928)/(g1*y) + (g1*g2^13*t^7.928)/y + (2*g2*t^8.071)/(g1*y) + (2*g1*g2^9*t^8.071)/y + (2*t^8.214)/(g1*g2^3*y) + (2*g1*g2^5*t^8.214)/y + (2*t^8.357)/(g1*g2^7*y) + (2*g1*g2*t^8.357)/y + t^8.501/(g1*g2^11*y) + (g1*t^8.501)/(g2^3*y) - (g2^4*t^8.57)/(g1^2*y) - (g1^2*g2^20*t^8.57)/y + (g2^8*t^8.714)/y + t^8.857/(g1^2*g2^4*y) + (4*g2^4*t^8.857)/y + (g1^2*g2^12*t^8.857)/y - g2^2*t^4.428*y - (g2^3*t^6.499*y)/g1 - g1*g2^11*t^6.499*y + (t^7.428*y)/(g1^2*g2^6) + 2*g2^2*t^7.428*y + g1^2*g2^10*t^7.428*y + (2*t^7.715*y)/g2^6 + (g2^9*t^7.785*y)/g1 + g1*g2^17*t^7.785*y + (g2^5*t^7.928*y)/g1 + g1*g2^13*t^7.928*y + (2*g2*t^8.071*y)/g1 + 2*g1*g2^9*t^8.071*y + (2*t^8.214*y)/(g1*g2^3) + 2*g1*g2^5*t^8.214*y + (2*t^8.357*y)/(g1*g2^7) + 2*g1*g2*t^8.357*y + (t^8.501*y)/(g1*g2^11) + (g1*t^8.501*y)/g2^3 - (g2^4*t^8.57*y)/g1^2 - g1^2*g2^20*t^8.57*y + g2^8*t^8.714*y + (t^8.857*y)/(g1^2*g2^4) + 4*g2^4*t^8.857*y + g1^2*g2^12*t^8.857*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46311 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6359 | 0.8312 | 0.765 | [M:[0.6721, 0.6721, 1.0, 0.8754], q:[0.7656, 0.5623], qb:[0.5623, 0.2344], phi:[0.4689]] | 2*t^2.016 + 2*t^2.39 + t^2.626 + 2*t^2.813 + t^3. + 2*t^3.797 + 3*t^4.033 + 4*t^4.407 + 2*t^4.643 + 6*t^4.78 + 4*t^4.829 + 2*t^5.016 + 4*t^5.203 + t^5.252 + 2*t^5.39 + 2*t^5.439 + 4*t^5.626 + 5*t^5.813 - 5*t^6. - t^4.407/y - t^4.407*y | detail |