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 |
---|---|---|---|---|---|---|---|---|---|
54739 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6741 | 0.8369 | 0.8055 | [M:[1.1625, 1.0013, 0.8375, 0.7671, 0.7907, 0.9309, 1.1158], q:[0.3836, 0.4539], qb:[0.6152, 0.7789], phi:[0.4421]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [1, -15], [0, 4]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$ | ${}$ | -2 | t^2.301 + t^2.372 + t^2.512 + t^2.793 + t^3.004 + t^3.347 + t^3.488 + t^3.839 + t^4.05 + t^4.182 + t^4.323 + t^4.534 + t^4.603 + t^4.674 + t^4.744 + t^4.814 + t^4.885 + t^5.017 + t^5.025 + t^5.094 + t^5.165 + t^5.305 + t^5.376 + t^5.586 + t^5.649 + t^5.72 + t^5.797 + 2*t^5.86 - 2*t^6. + t^6.008 + t^6.14 + t^6.28 + 2*t^6.351 + t^6.422 + t^6.555 + t^6.562 + t^6.624 + t^6.695 + t^6.835 + t^6.843 + t^6.904 + t^6.906 + t^6.975 + t^7.046 + t^7.053 + t^7.115 + t^7.117 + t^7.186 + t^7.257 + t^7.319 + t^7.326 + t^7.39 + t^7.396 + t^7.397 + t^7.466 + t^7.53 + 2*t^7.537 + t^7.607 + t^7.67 + t^7.677 + t^7.748 + t^7.887 + t^7.888 + t^7.95 + t^7.958 + t^8.021 + t^8.092 + t^8.098 + t^8.099 + t^8.169 + 2*t^8.232 - 3*t^8.301 + t^8.309 + t^8.365 - t^8.372 + t^8.378 + t^8.38 + t^8.442 + t^8.505 - 2*t^8.512 + t^8.583 + t^8.589 + 2*t^8.653 + t^8.723 - 3*t^8.793 + t^8.794 + t^8.8 + t^8.864 + t^8.925 + t^8.927 + t^8.934 - t^4.326/y - t^6.628/y - t^6.699/y - t^7.119/y + t^7.323/y - t^7.33/y + t^7.534/y + t^7.674/y + t^7.814/y + t^7.885/y + t^7.954/y + t^8.025/y + t^8.094/y + t^8.165/y + (2*t^8.305)/y + t^8.376/y + t^8.516/y + t^8.649/y + t^8.72/y + t^8.789/y + t^8.797/y + (2*t^8.86)/y - t^8.929/y - t^4.326*y - t^6.628*y - t^6.699*y - t^7.119*y + t^7.323*y - t^7.33*y + t^7.534*y + t^7.674*y + t^7.814*y + t^7.885*y + t^7.954*y + t^8.025*y + t^8.094*y + t^8.165*y + 2*t^8.305*y + t^8.376*y + t^8.516*y + t^8.649*y + t^8.72*y + t^8.789*y + t^8.797*y + 2*t^8.86*y - t^8.929*y | (g1^2*t^2.301)/g2^16 + (g2^18*t^2.372)/g1^2 + (g2^7*t^2.512)/g1 + (g1*t^2.793)/g2^15 + (g2^8*t^3.004)/g1^2 + g2^4*t^3.347 + (g1*t^3.488)/g2^7 + (g2^5*t^3.839)/g1 + (g2^28*t^4.05)/g1^4 + g1*g2*t^4.182 + (g1^2*t^4.323)/g2^10 + (g2^13*t^4.534)/g1 + (g1^4*t^4.603)/g2^32 + g2^2*t^4.674 + (g2^36*t^4.744)/g1^4 + (g1*t^4.814)/g2^9 + (g2^25*t^4.885)/g1^3 + (g1^2*t^5.017)/g2^2 + (g2^14*t^5.025)/g1^2 + (g1^3*t^5.094)/g2^31 + (g2^3*t^5.165)/g1 + t^5.305/g2^8 + (g2^26*t^5.376)/g1^4 + (g1^2*t^5.586)/g2^30 + (g1^2*t^5.649)/g2^12 + (g2^22*t^5.72)/g1^2 + t^5.797/(g1*g2^7) + (2*g2^11*t^5.86)/g1 - 2*t^6. + (g2^16*t^6.008)/g1^4 + (g1*t^6.14)/g2^11 + (g1^2*t^6.28)/g2^22 + (2*g2^12*t^6.351)/g1^2 + (g2^46*t^6.422)/g1^6 + (g2^19*t^6.555)/g1 + (g2^35*t^6.562)/g1^5 + (g1^4*t^6.624)/g2^26 + g2^8*t^6.695 + (g1*t^6.835)/g2^3 + (g2^13*t^6.843)/g1^3 + (g1^6*t^6.904)/g2^48 + (g2^31*t^6.906)/g1^3 + (g1^2*t^6.975)/g2^14 + (g2^20*t^7.046)/g1^2 + (g2^36*t^7.053)/g1^6 + (g1^3*t^7.115)/g2^25 + (g2^54*t^7.117)/g1^6 + (g2^9*t^7.186)/g1 + (g2^43*t^7.257)/g1^5 + (g1^4*t^7.319)/g2^18 + t^7.326/g2^2 + g2^16*t^7.39 + (g1^5*t^7.396)/g2^47 + (g2^32*t^7.397)/g1^4 + (g1*t^7.466)/g2^13 + g1*g2^5*t^7.53 + (2*g2^21*t^7.537)/g1^3 + (g1^2*t^7.607)/g2^24 + (g1^2*t^7.67)/g2^6 + (g2^10*t^7.677)/g1^2 + (g2^44*t^7.748)/g1^6 + (g1^4*t^7.887)/g2^46 + (g2^33*t^7.888)/g1^5 + (g1^4*t^7.95)/g2^28 + t^7.958/g2^12 + g2^6*t^8.021 + (g2^40*t^8.092)/g1^4 + (g1*t^8.098)/g2^23 + (g2^56*t^8.099)/g1^8 + (g2^11*t^8.169)/g1^3 + (2*g2^29*t^8.232)/g1^3 - (3*g1^2*t^8.301)/g2^16 + t^8.309/g1^2 + g1^2*g2^2*t^8.365 - (g2^18*t^8.372)/g1^2 + (g1^3*t^8.378)/g2^45 + (g2^34*t^8.38)/g1^6 + (g1^3*t^8.442)/g2^27 + (g1^3*t^8.505)/g2^9 - (2*g2^7*t^8.512)/g1 + (g2^41*t^8.583)/g1^5 + t^8.589/g2^22 + (2*t^8.653)/g2^4 + (g2^30*t^8.723)/g1^4 - (3*g1*t^8.793)/g2^15 + (g2^64*t^8.794)/g1^8 + (g2*t^8.8)/g1^3 + (g2^19*t^8.864)/g1^3 + (g1^6*t^8.925)/g2^42 + (g2^37*t^8.927)/g1^3 + (g2^53*t^8.934)/g1^7 - t^4.326/(g2^2*y) - (g1^2*t^6.628)/(g2^18*y) - (g2^16*t^6.699)/(g1^2*y) - (g1*t^7.119)/(g2^17*y) + (g1^2*t^7.323)/(g2^10*y) - (g2^6*t^7.33)/(g1^2*y) + (g2^13*t^7.534)/(g1*y) + (g2^2*t^7.674)/y + (g1*t^7.814)/(g2^9*y) + (g2^25*t^7.885)/(g1^3*y) + (g1^2*t^7.954)/(g2^20*y) + (g2^14*t^8.025)/(g1^2*y) + (g1^3*t^8.094)/(g2^31*y) + (g2^3*t^8.165)/(g1*y) + (2*t^8.305)/(g2^8*y) + (g2^26*t^8.376)/(g1^4*y) + (g2^15*t^8.516)/(g1^3*y) + (g1^2*t^8.649)/(g2^12*y) + (g2^22*t^8.72)/(g1^2*y) + (g1^3*t^8.789)/(g2^23*y) + t^8.797/(g1*g2^7*y) + (2*g2^11*t^8.86)/(g1*y) - (g1^4*t^8.929)/(g2^34*y) - (t^4.326*y)/g2^2 - (g1^2*t^6.628*y)/g2^18 - (g2^16*t^6.699*y)/g1^2 - (g1*t^7.119*y)/g2^17 + (g1^2*t^7.323*y)/g2^10 - (g2^6*t^7.33*y)/g1^2 + (g2^13*t^7.534*y)/g1 + g2^2*t^7.674*y + (g1*t^7.814*y)/g2^9 + (g2^25*t^7.885*y)/g1^3 + (g1^2*t^7.954*y)/g2^20 + (g2^14*t^8.025*y)/g1^2 + (g1^3*t^8.094*y)/g2^31 + (g2^3*t^8.165*y)/g1 + (2*t^8.305*y)/g2^8 + (g2^26*t^8.376*y)/g1^4 + (g2^15*t^8.516*y)/g1^3 + (g1^2*t^8.649*y)/g2^12 + (g2^22*t^8.72*y)/g1^2 + (g1^3*t^8.789*y)/g2^23 + (t^8.797*y)/(g1*g2^7) + (2*g2^11*t^8.86*y)/g1 - (g1^4*t^8.929*y)/g2^34 |
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 |
---|---|---|---|---|---|---|---|---|---|
46799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6851 | 0.8556 | 0.8007 | [M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. - t^4.305/y - t^4.305*y | detail |