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 |
---|---|---|---|---|---|---|---|---|---|
56229 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6775 | 0.8519 | 0.7952 | [M:[1.113, 1.1301, 0.887, 0.6781, 0.8699, 0.8699, 0.9211], q:[0.339, 0.548], qb:[0.5309, 0.774], phi:[0.452]] | [M:[[-1], [-10], [1], [-6], [10], [10], [-17]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | -1 | t^2.034 + 2*t^2.61 + t^2.661 + t^2.712 + t^2.763 + t^3.339 + t^3.915 + t^3.966 + t^4.017 + t^4.068 + t^4.541 + t^4.593 + 3*t^4.644 + t^4.695 + t^4.746 + t^4.798 + 3*t^5.219 + 2*t^5.271 + 3*t^5.322 + 3*t^5.373 + t^5.424 + t^5.476 + t^5.527 + 2*t^5.949 - t^6. + 2*t^6.102 + 2*t^6.524 + 2*t^6.576 + 2*t^6.627 + 4*t^6.678 + t^6.729 + t^6.781 + t^6.832 + 2*t^7.151 + 2*t^7.202 + 6*t^7.254 + 2*t^7.305 + 3*t^7.356 + 3*t^7.407 + t^7.459 + t^7.51 + t^7.561 + 4*t^7.829 + 3*t^7.88 + 3*t^7.932 + 4*t^7.983 + t^8.034 + 2*t^8.085 + 4*t^8.137 + t^8.188 + t^8.239 + t^8.29 + t^8.456 + t^8.507 + 3*t^8.559 - 3*t^8.61 - 2*t^8.661 + t^8.712 - 2*t^8.763 + t^8.815 + 2*t^8.866 - t^4.356/y - t^6.39/y - t^6.966/y - t^7.068/y - t^7.12/y + t^7.593/y + (3*t^7.644)/y + t^7.695/y + (2*t^7.746)/y + t^7.798/y + t^8.219/y + (2*t^8.271)/y + (3*t^8.322)/y + (4*t^8.373)/y + t^8.476/y + (3*t^8.949)/y - t^4.356*y - t^6.39*y - t^6.966*y - t^7.068*y - t^7.12*y + t^7.593*y + 3*t^7.644*y + t^7.695*y + 2*t^7.746*y + t^7.798*y + t^8.219*y + 2*t^8.271*y + 3*t^8.322*y + 4*t^8.373*y + t^8.476*y + 3*t^8.949*y | t^2.034/g1^6 + 2*g1^10*t^2.61 + g1*t^2.661 + t^2.712/g1^8 + t^2.763/g1^17 + t^3.339/g1 + g1^15*t^3.915 + g1^6*t^3.966 + t^4.017/g1^3 + t^4.068/g1^12 + g1^22*t^4.541 + g1^13*t^4.593 + 3*g1^4*t^4.644 + t^4.695/g1^5 + t^4.746/g1^14 + t^4.798/g1^23 + 3*g1^20*t^5.219 + 2*g1^11*t^5.271 + 3*g1^2*t^5.322 + (3*t^5.373)/g1^7 + t^5.424/g1^16 + t^5.476/g1^25 + t^5.527/g1^34 + 2*g1^9*t^5.949 - t^6. + (2*t^6.102)/g1^18 + 2*g1^25*t^6.524 + 2*g1^16*t^6.576 + 2*g1^7*t^6.627 + (4*t^6.678)/g1^2 + t^6.729/g1^11 + t^6.781/g1^20 + t^6.832/g1^29 + 2*g1^32*t^7.151 + 2*g1^23*t^7.202 + 6*g1^14*t^7.254 + 2*g1^5*t^7.305 + (3*t^7.356)/g1^4 + (3*t^7.407)/g1^13 + t^7.459/g1^22 + t^7.51/g1^31 + t^7.561/g1^40 + 4*g1^30*t^7.829 + 3*g1^21*t^7.88 + 3*g1^12*t^7.932 + 4*g1^3*t^7.983 + t^8.034/g1^6 + (2*t^8.085)/g1^15 + (4*t^8.137)/g1^24 + t^8.188/g1^33 + t^8.239/g1^42 + t^8.29/g1^51 + g1^37*t^8.456 + g1^28*t^8.507 + 3*g1^19*t^8.559 - 3*g1^10*t^8.61 - 2*g1*t^8.661 + t^8.712/g1^8 - (2*t^8.763)/g1^17 + t^8.815/g1^26 + (2*t^8.866)/g1^35 - t^4.356/(g1^4*y) - t^6.39/(g1^10*y) - (g1^6*t^6.966)/y - t^7.068/(g1^12*y) - t^7.12/(g1^21*y) + (g1^13*t^7.593)/y + (3*g1^4*t^7.644)/y + t^7.695/(g1^5*y) + (2*t^7.746)/(g1^14*y) + t^7.798/(g1^23*y) + (g1^20*t^8.219)/y + (2*g1^11*t^8.271)/y + (3*g1^2*t^8.322)/y + (4*t^8.373)/(g1^7*y) + t^8.476/(g1^25*y) + (3*g1^9*t^8.949)/y - (t^4.356*y)/g1^4 - (t^6.39*y)/g1^10 - g1^6*t^6.966*y - (t^7.068*y)/g1^12 - (t^7.12*y)/g1^21 + g1^13*t^7.593*y + 3*g1^4*t^7.644*y + (t^7.695*y)/g1^5 + (2*t^7.746*y)/g1^14 + (t^7.798*y)/g1^23 + g1^20*t^8.219*y + 2*g1^11*t^8.271*y + 3*g1^2*t^8.322*y + (4*t^8.373*y)/g1^7 + (t^8.476*y)/g1^25 + 3*g1^9*t^8.949*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
50977 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.673 | 0.8479 | 0.7937 | [M:[1.1166, 1.1662, 0.8834, 0.6997, 0.8338, 0.8338], q:[0.3499, 0.5335], qb:[0.4839, 0.7668], phi:[0.4665]] | t^2.099 + 2*t^2.501 + t^2.65 + t^2.799 + t^3.052 + t^3.35 + t^3.752 + t^3.901 + t^4.05 + t^4.198 + t^4.303 + t^4.452 + 3*t^4.601 + t^4.749 + t^4.898 + 3*t^5.003 + 3*t^5.152 + 3*t^5.3 + t^5.449 + 2*t^5.554 + t^5.702 + 3*t^5.851 - t^6. - t^4.399/y - t^4.399*y | detail |