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 |
---|---|---|---|---|---|---|---|---|---|
3090 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6708 | 0.8928 | 0.7514 | [M:[0.9658, 1.1027, 0.9658, 0.8973, 0.7414, 0.7414, 0.8099, 0.8099], q:[0.7414, 0.2928], qb:[0.4486, 0.4486], phi:[0.5171]] | [M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [7, -5], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -5 | 4*t^2.224 + 2*t^2.43 + t^2.692 + 2*t^2.897 + t^3.308 + 3*t^4.243 + 10*t^4.449 + 8*t^4.654 + 3*t^4.86 + 4*t^4.916 + 10*t^5.122 + 4*t^5.327 + t^5.384 + 2*t^5.532 + 2*t^5.589 + 2*t^5.738 + 2*t^5.795 - 5*t^6. + 8*t^6.468 + t^6.616 + 22*t^6.673 + 16*t^6.878 + 3*t^6.935 + 10*t^7.084 + 13*t^7.14 + 4*t^7.289 + 23*t^7.346 + 14*t^7.551 + 4*t^7.608 + 8*t^7.757 + 8*t^7.813 + 4*t^7.962 + 6*t^8.019 + t^8.075 + 3*t^8.168 - 18*t^8.224 + 2*t^8.281 - 14*t^8.43 + 7*t^8.486 + 11*t^8.692 + 2*t^8.841 + 24*t^8.897 - t^4.551/y - (2*t^6.776)/y - (2*t^6.981)/y + (5*t^7.449)/y + (9*t^7.654)/y + t^7.86/y + (4*t^7.916)/y + (12*t^8.122)/y + (6*t^8.327)/y + (4*t^8.532)/y + (2*t^8.589)/y + (2*t^8.738)/y + t^8.795/y - t^4.551*y - 2*t^6.776*y - 2*t^6.981*y + 5*t^7.449*y + 9*t^7.654*y + t^7.86*y + 4*t^7.916*y + 12*t^8.122*y + 6*t^8.327*y + 4*t^8.532*y + 2*t^8.589*y + 2*t^8.738*y + t^8.795*y | (2*g1^7*t^2.224)/g2^5 + (2*g2^7*t^2.224)/g1^5 + t^2.43/(g1*g2^13) + t^2.43/(g1^13*g2) + g1^12*g2^12*t^2.692 + 2*g1^4*g2^4*t^2.897 + t^3.308/(g1^12*g2^12) + (g1^22*t^4.243)/g2^2 + g1^10*g2^10*t^4.243 + (g2^22*t^4.243)/g1^2 + (3*g1^14*t^4.449)/g2^10 + 4*g1^2*g2^2*t^4.449 + (3*g2^14*t^4.449)/g1^10 + (2*g1^6*t^4.654)/g2^18 + (4*t^4.654)/(g1^6*g2^6) + (2*g2^6*t^4.654)/g1^18 + t^4.86/(g1^2*g2^26) + t^4.86/(g1^14*g2^14) + t^4.86/(g1^26*g2^2) + 2*g1^19*g2^7*t^4.916 + 2*g1^7*g2^19*t^4.916 + (5*g1^11*t^5.122)/g2 + (5*g2^11*t^5.122)/g1 + (2*g1^3*t^5.327)/g2^9 + (2*g2^3*t^5.327)/g1^9 + g1^24*g2^24*t^5.384 + t^5.532/(g1^5*g2^17) + t^5.532/(g1^17*g2^5) + 2*g1^16*g2^16*t^5.589 + t^5.738/(g1^13*g2^25) + t^5.738/(g1^25*g2^13) + 2*g1^8*g2^8*t^5.795 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + (2*g1^29*t^6.468)/g2^7 + 2*g1^17*g2^5*t^6.468 + 2*g1^5*g2^17*t^6.468 + (2*g2^29*t^6.468)/g1^7 + t^6.616/(g1^24*g2^24) + (5*g1^21*t^6.673)/g2^15 + (6*g1^9*t^6.673)/g2^3 + (6*g2^9*t^6.673)/g1^3 + (5*g2^21*t^6.673)/g1^15 + (3*g1^13*t^6.878)/g2^23 + (5*g1*t^6.878)/g2^11 + (5*g2*t^6.878)/g1^11 + (3*g2^13*t^6.878)/g1^23 + g1^34*g2^10*t^6.935 + g1^22*g2^22*t^6.935 + g1^10*g2^34*t^6.935 + (2*g1^5*t^7.084)/g2^31 + (3*t^7.084)/(g1^7*g2^19) + (3*t^7.084)/(g1^19*g2^7) + (2*g2^5*t^7.084)/g1^31 + 4*g1^26*g2^2*t^7.14 + 5*g1^14*g2^14*t^7.14 + 4*g1^2*g2^26*t^7.14 + t^7.289/(g1^3*g2^39) + t^7.289/(g1^15*g2^27) + t^7.289/(g1^27*g2^15) + t^7.289/(g1^39*g2^3) + (7*g1^18*t^7.346)/g2^6 + 9*g1^6*g2^6*t^7.346 + (7*g2^18*t^7.346)/g1^6 + (4*g1^10*t^7.551)/g2^14 + (6*t^7.551)/(g1^2*g2^2) + (4*g2^10*t^7.551)/g1^14 + 2*g1^31*g2^19*t^7.608 + 2*g1^19*g2^31*t^7.608 + (3*g1^2*t^7.757)/g2^22 + (2*t^7.757)/(g1^10*g2^10) + (3*g2^2*t^7.757)/g1^22 + 4*g1^23*g2^11*t^7.813 + 4*g1^11*g2^23*t^7.813 + t^7.962/(g1^6*g2^30) + (2*t^7.962)/(g1^18*g2^18) + t^7.962/(g1^30*g2^6) + 3*g1^15*g2^3*t^8.019 + 3*g1^3*g2^15*t^8.019 + g1^36*g2^36*t^8.075 + t^8.168/(g1^14*g2^38) + t^8.168/(g1^26*g2^26) + t^8.168/(g1^38*g2^14) - (2*g1^19*t^8.224)/g2^17 - (7*g1^7*t^8.224)/g2^5 - (7*g2^7*t^8.224)/g1^5 - (2*g2^19*t^8.224)/g1^17 + 2*g1^28*g2^28*t^8.281 - (g1^11*t^8.43)/g2^25 - (6*t^8.43)/(g1*g2^13) - (6*t^8.43)/(g1^13*g2) - (g2^11*t^8.43)/g1^25 + (g1^44*t^8.486)/g2^4 + g1^32*g2^8*t^8.486 + 3*g1^20*g2^20*t^8.486 + g1^8*g2^32*t^8.486 + (g2^44*t^8.486)/g1^4 + 2*g1^24*t^8.692 + (3*g1^36*t^8.692)/g2^12 + g1^12*g2^12*t^8.692 + 2*g2^24*t^8.692 + (3*g2^36*t^8.692)/g1^12 + t^8.841/(g1^17*g2^29) + t^8.841/(g1^29*g2^17) + (7*g1^28*t^8.897)/g2^20 + (6*g1^16*t^8.897)/g2^8 - 2*g1^4*g2^4*t^8.897 + (6*g2^16*t^8.897)/g1^8 + (7*g2^28*t^8.897)/g1^20 - t^4.551/(g1^2*g2^2*y) - (g1^5*t^6.776)/(g2^7*y) - (g2^5*t^6.776)/(g1^7*y) - t^6.981/(g1^3*g2^15*y) - t^6.981/(g1^15*g2^3*y) + (g1^14*t^7.449)/(g2^10*y) + (3*g1^2*g2^2*t^7.449)/y + (g2^14*t^7.449)/(g1^10*y) + (2*g1^6*t^7.654)/(g2^18*y) + (5*t^7.654)/(g1^6*g2^6*y) + (2*g2^6*t^7.654)/(g1^18*y) + t^7.86/(g1^14*g2^14*y) + (2*g1^19*g2^7*t^7.916)/y + (2*g1^7*g2^19*t^7.916)/y + (6*g1^11*t^8.122)/(g2*y) + (6*g2^11*t^8.122)/(g1*y) + (3*g1^3*t^8.327)/(g2^9*y) + (3*g2^3*t^8.327)/(g1^9*y) + (2*t^8.532)/(g1^5*g2^17*y) + (2*t^8.532)/(g1^17*g2^5*y) + (2*g1^16*g2^16*t^8.589)/y + t^8.738/(g1^13*g2^25*y) + t^8.738/(g1^25*g2^13*y) + (g1^8*g2^8*t^8.795)/y - (t^4.551*y)/(g1^2*g2^2) - (g1^5*t^6.776*y)/g2^7 - (g2^5*t^6.776*y)/g1^7 - (t^6.981*y)/(g1^3*g2^15) - (t^6.981*y)/(g1^15*g2^3) + (g1^14*t^7.449*y)/g2^10 + 3*g1^2*g2^2*t^7.449*y + (g2^14*t^7.449*y)/g1^10 + (2*g1^6*t^7.654*y)/g2^18 + (5*t^7.654*y)/(g1^6*g2^6) + (2*g2^6*t^7.654*y)/g1^18 + (t^7.86*y)/(g1^14*g2^14) + 2*g1^19*g2^7*t^7.916*y + 2*g1^7*g2^19*t^7.916*y + (6*g1^11*t^8.122*y)/g2 + (6*g2^11*t^8.122*y)/g1 + (3*g1^3*t^8.327*y)/g2^9 + (3*g2^3*t^8.327*y)/g1^9 + (2*t^8.532*y)/(g1^5*g2^17) + (2*t^8.532*y)/(g1^17*g2^5) + 2*g1^16*g2^16*t^8.589*y + (t^8.738*y)/(g1^13*g2^25) + (t^8.738*y)/(g1^25*g2^13) + g1^8*g2^8*t^8.795*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 |
---|---|---|---|---|---|---|---|---|---|
2024 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6559 | 0.8685 | 0.7552 | [M:[0.9574, 1.1279, 0.9574, 0.8721, 0.7258, 0.7529, 0.811], q:[0.7393, 0.3033], qb:[0.4496, 0.4225], phi:[0.5213]] | 2*t^2.177 + 2*t^2.259 + t^2.433 + t^2.616 + 2*t^2.872 + t^3.384 + t^3.486 + t^4.099 + t^4.18 + t^4.262 + 3*t^4.355 + 4*t^4.436 + 3*t^4.518 + 2*t^4.61 + 2*t^4.692 + 2*t^4.794 + t^4.866 + 2*t^4.875 + 5*t^5.049 + 4*t^5.131 + t^5.233 + 2*t^5.305 + 2*t^5.489 + t^5.561 + t^5.642 + 2*t^5.663 + 4*t^5.744 + t^5.817 - 3*t^6. - t^4.564/y - t^4.564*y | detail |