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 |
---|---|---|---|---|---|---|---|---|---|
55127 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6468 | 0.8588 | 0.7532 | [M:[0.9564, 0.9564, 0.6961, 0.8693, 1.0436, 0.6955], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]] | [M:[[4], [4], [-18], [12], [-4], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{5}$ | -1 | 2*t^2.087 + t^2.088 + t^2.348 + 2*t^2.608 + t^2.869 + t^3.131 + t^3.391 + 2*t^3.652 + 4*t^4.173 + 2*t^4.175 + t^4.176 + 3*t^4.435 + t^4.436 + 4*t^4.694 + 3*t^4.696 + 4*t^4.956 + t^4.957 + 3*t^5.216 + 3*t^5.217 + t^5.219 + 4*t^5.477 + t^5.479 + 6*t^5.739 + t^5.74 + 2*t^5.998 - t^6. + 9*t^6.26 + 2*t^6.261 + 2*t^6.263 + t^6.265 + 5*t^6.521 + 3*t^6.523 + t^6.524 + 8*t^6.781 + 5*t^6.783 + 3*t^6.784 + 10*t^7.043 + 2*t^7.044 + t^7.046 + 6*t^7.302 + 9*t^7.304 + 2*t^7.306 + t^7.307 + 10*t^7.564 + t^7.565 + t^7.567 + 4*t^7.824 + 11*t^7.825 + 2*t^7.827 + t^7.828 + 7*t^8.085 - t^8.087 - 2*t^8.088 + 17*t^8.346 + t^8.348 + 2*t^8.35 + 2*t^8.351 + t^8.353 + 3*t^8.606 + 4*t^8.608 + t^8.609 + 3*t^8.611 + t^8.613 + 16*t^8.868 + 2*t^8.869 + 4*t^8.871 + 3*t^8.872 - t^4.565/y - t^6.652/y - t^6.654/y + (2*t^7.175)/y + (2*t^7.435)/y + t^7.436/y + (4*t^7.694)/y + (2*t^7.696)/y + (4*t^7.956)/y + (2*t^7.957)/y + t^8.216/y + (3*t^8.217)/y + t^8.219/y + (5*t^8.477)/y + (3*t^8.479)/y + (6*t^8.739)/y + t^8.74/y - t^8.742/y + (2*t^8.998)/y - t^4.565*y - t^6.652*y - t^6.654*y + 2*t^7.175*y + 2*t^7.435*y + t^7.436*y + 4*t^7.694*y + 2*t^7.696*y + 4*t^7.956*y + 2*t^7.957*y + t^8.216*y + 3*t^8.217*y + t^8.219*y + 5*t^8.477*y + 3*t^8.479*y + 6*t^8.739*y + t^8.74*y - t^8.742*y + 2*t^8.998*y | 2*g1^5*t^2.087 + t^2.088/g1^18 + t^2.348/g1^3 + 2*g1^12*t^2.608 + g1^4*t^2.869 + t^3.131/g1^4 + g1^11*t^3.391 + 2*g1^3*t^3.652 + 4*g1^10*t^4.173 + (2*t^4.175)/g1^13 + t^4.176/g1^36 + 3*g1^2*t^4.435 + t^4.436/g1^21 + 4*g1^17*t^4.694 + (3*t^4.696)/g1^6 + 4*g1^9*t^4.956 + t^4.957/g1^14 + 3*g1^24*t^5.216 + 3*g1*t^5.217 + t^5.219/g1^22 + 4*g1^16*t^5.477 + t^5.479/g1^7 + 6*g1^8*t^5.739 + t^5.74/g1^15 + 2*g1^23*t^5.998 - t^6. + 9*g1^15*t^6.26 + (2*t^6.261)/g1^8 + (2*t^6.263)/g1^31 + t^6.265/g1^54 + 5*g1^7*t^6.521 + (3*t^6.523)/g1^16 + t^6.524/g1^39 + 8*g1^22*t^6.781 + (5*t^6.783)/g1 + (3*t^6.784)/g1^24 + 10*g1^14*t^7.043 + (2*t^7.044)/g1^9 + t^7.046/g1^32 + 6*g1^29*t^7.302 + 9*g1^6*t^7.304 + (2*t^7.306)/g1^17 + t^7.307/g1^40 + 10*g1^21*t^7.564 + t^7.565/g1^2 + t^7.567/g1^25 + 4*g1^36*t^7.824 + 11*g1^13*t^7.825 + (2*t^7.827)/g1^10 + t^7.828/g1^33 + 7*g1^28*t^8.085 - g1^5*t^8.087 - (2*t^8.088)/g1^18 + 17*g1^20*t^8.346 + t^8.348/g1^3 + (2*t^8.35)/g1^26 + (2*t^8.351)/g1^49 + t^8.353/g1^72 + 3*g1^35*t^8.606 + 4*g1^12*t^8.608 + t^8.609/g1^11 + (3*t^8.611)/g1^34 + t^8.613/g1^57 + 16*g1^27*t^8.868 + 2*g1^4*t^8.869 + (4*t^8.871)/g1^19 + (3*t^8.872)/g1^42 - t^4.565/(g1^2*y) - (g1^3*t^6.652)/y - t^6.654/(g1^20*y) + (2*t^7.175)/(g1^13*y) + (2*g1^2*t^7.435)/y + t^7.436/(g1^21*y) + (4*g1^17*t^7.694)/y + (2*t^7.696)/(g1^6*y) + (4*g1^9*t^7.956)/y + (2*t^7.957)/(g1^14*y) + (g1^24*t^8.216)/y + (3*g1*t^8.217)/y + t^8.219/(g1^22*y) + (5*g1^16*t^8.477)/y + (3*t^8.479)/(g1^7*y) + (6*g1^8*t^8.739)/y + t^8.74/(g1^15*y) - t^8.742/(g1^38*y) + (2*g1^23*t^8.998)/y - (t^4.565*y)/g1^2 - g1^3*t^6.652*y - (t^6.654*y)/g1^20 + (2*t^7.175*y)/g1^13 + 2*g1^2*t^7.435*y + (t^7.436*y)/g1^21 + 4*g1^17*t^7.694*y + (2*t^7.696*y)/g1^6 + 4*g1^9*t^7.956*y + (2*t^7.957*y)/g1^14 + g1^24*t^8.216*y + 3*g1*t^8.217*y + (t^8.219*y)/g1^22 + 5*g1^16*t^8.477*y + (3*t^8.479*y)/g1^7 + 6*g1^8*t^8.739*y + (t^8.74*y)/g1^15 - (t^8.742*y)/g1^38 + 2*g1^23*t^8.998*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 |
---|---|---|---|---|---|---|---|---|
56810 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6429 | 0.8517 | 0.7548 | [M:[0.9594, 0.9594, 0.6826, 0.8782, 1.0406, 0.6993, 1.0406], q:[0.7399, 0.3007], qb:[0.4797, 0.3985], phi:[0.5203]] | t^2.048 + 2*t^2.098 + t^2.341 + 2*t^2.635 + 2*t^3.122 + t^3.415 + 2*t^3.659 + t^4.096 + 2*t^4.146 + 4*t^4.196 + t^4.389 + 3*t^4.439 + 3*t^4.683 + 4*t^4.733 + 2*t^4.976 + 2*t^5.17 + 4*t^5.22 + 3*t^5.269 + 2*t^5.463 + 2*t^5.513 + t^5.707 + 7*t^5.756 - 2*t^6. - t^4.561/y - t^4.561*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46988 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6262 | 0.819 | 0.7645 | [M:[0.9571, 0.9571, 0.6932, 0.8712, 1.0429], q:[0.7393, 0.3037], qb:[0.4785, 0.3927], phi:[0.5215]] | t^2.079 + t^2.089 + t^2.347 + 2*t^2.614 + t^2.871 + t^3.129 + t^3.396 + 2*t^3.653 + t^3.911 + t^4.159 + t^4.169 + 2*t^4.178 + t^4.426 + 2*t^4.436 + 3*t^4.693 + 2*t^4.703 + t^4.951 + 3*t^4.96 + t^5.208 + 2*t^5.218 + 3*t^5.227 + t^5.475 + 3*t^5.485 + t^5.733 + 4*t^5.742 + t^5.99 - t^4.564/y - t^4.564*y | detail |