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 |
---|---|---|---|---|---|---|---|---|---|
54671 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6793 | 0.8531 | 0.7963 | [M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.5128, 0.3657], qb:[0.7558, 0.8049], phi:[0.3902]] | [M:[[-16], [-14], [16], [16], [6], [-14]], q:[[23], [-7]], qb:[[-9], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | 2*t^2.194 + t^2.341 + t^2.488 + 2*t^2.636 + t^3.364 + t^3.953 + t^4.248 + 3*t^4.388 + 3*t^4.535 + 4*t^4.682 + 4*t^4.829 + 4*t^4.977 + 2*t^5.124 + 2*t^5.271 + t^5.558 + 2*t^5.706 - 2*t^6. + t^6.147 + t^6.442 + 4*t^6.582 + 3*t^6.589 + 4*t^6.729 + t^6.736 + 7*t^6.876 + 2*t^6.883 + 7*t^7.023 + 7*t^7.171 + 7*t^7.318 + 6*t^7.465 + 4*t^7.612 + t^7.752 + t^7.759 + 3*t^7.9 + 2*t^7.907 + t^8.047 - 6*t^8.194 + t^8.201 - 2*t^8.341 - 5*t^8.488 + t^8.495 - 4*t^8.636 + 5*t^8.776 + t^8.783 + 5*t^8.923 + 3*t^8.93 - t^4.171/y - (2*t^6.364)/y - t^6.512/y - t^6.659/y - t^6.806/y + t^7.388/y + (3*t^7.535)/y + (3*t^7.682)/y + (6*t^7.829)/y + (4*t^7.977)/y + (2*t^8.124)/y + t^8.271/y - t^8.558/y - t^8.706/y - (2*t^8.853)/y - t^4.171*y - 2*t^6.364*y - t^6.512*y - t^6.659*y - t^6.806*y + t^7.388*y + 3*t^7.535*y + 3*t^7.682*y + 6*t^7.829*y + 4*t^7.977*y + 2*t^8.124*y + t^8.271*y - t^8.558*y - t^8.706*y - 2*t^8.853*y | (2*t^2.194)/g1^14 + t^2.341/g1^4 + g1^6*t^2.488 + 2*g1^16*t^2.636 + t^3.364/g1^16 + g1^24*t^3.953 + g1^44*t^4.248 + (3*t^4.388)/g1^28 + (3*t^4.535)/g1^18 + (4*t^4.682)/g1^8 + 4*g1^2*t^4.829 + 4*g1^12*t^4.977 + 2*g1^22*t^5.124 + 2*g1^32*t^5.271 + t^5.558/g1^30 + (2*t^5.706)/g1^20 - 2*t^6. + g1^10*t^6.147 + g1^30*t^6.442 + (4*t^6.582)/g1^42 + 3*g1^40*t^6.589 + (4*t^6.729)/g1^32 + g1^50*t^6.736 + (7*t^6.876)/g1^22 + 2*g1^60*t^6.883 + (7*t^7.023)/g1^12 + (7*t^7.171)/g1^2 + 7*g1^8*t^7.318 + 6*g1^18*t^7.465 + 4*g1^28*t^7.612 + t^7.752/g1^44 + g1^38*t^7.759 + (3*t^7.9)/g1^34 + 2*g1^48*t^7.907 + t^8.047/g1^24 - (6*t^8.194)/g1^14 + g1^68*t^8.201 - (2*t^8.341)/g1^4 - 5*g1^6*t^8.488 + g1^88*t^8.495 - 4*g1^16*t^8.636 + (5*t^8.776)/g1^56 + g1^26*t^8.783 + (5*t^8.923)/g1^46 + 3*g1^36*t^8.93 - t^4.171/(g1^2*y) - (2*t^6.364)/(g1^16*y) - t^6.512/(g1^6*y) - (g1^4*t^6.659)/y - (g1^14*t^6.806)/y + t^7.388/(g1^28*y) + (3*t^7.535)/(g1^18*y) + (3*t^7.682)/(g1^8*y) + (6*g1^2*t^7.829)/y + (4*g1^12*t^7.977)/y + (2*g1^22*t^8.124)/y + (g1^32*t^8.271)/y - t^8.558/(g1^30*y) - t^8.706/(g1^20*y) - (2*t^8.853)/(g1^10*y) - (t^4.171*y)/g1^2 - (2*t^6.364*y)/g1^16 - (t^6.512*y)/g1^6 - g1^4*t^6.659*y - g1^14*t^6.806*y + (t^7.388*y)/g1^28 + (3*t^7.535*y)/g1^18 + (3*t^7.682*y)/g1^8 + 6*g1^2*t^7.829*y + 4*g1^12*t^7.977*y + 2*g1^22*t^8.124*y + g1^32*t^8.271*y - (t^8.558*y)/g1^30 - (t^8.706*y)/g1^20 - (2*t^8.853*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
56610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6617 | 0.8218 | 0.8052 | [M:[1.1241, 0.7336, 0.8759, 0.8759, 0.8285, 0.7336, 1.219], q:[0.5091, 0.3668], qb:[0.7573, 0.8047], phi:[0.3905]] | 2*t^2.201 + t^2.485 + 2*t^2.628 + t^3.372 + t^3.657 + t^3.941 + t^4.226 + 3*t^4.402 + t^4.544 + 3*t^4.686 + 3*t^4.828 + 2*t^4.971 + 2*t^5.113 + 2*t^5.255 + t^5.573 + t^5.715 + 2*t^5.858 - 2*t^6. - t^4.172/y - t^4.172*y | detail | |
56611 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7001 | 0.8939 | 0.7832 | [M:[1.1194, 0.7295, 0.8806, 0.8806, 0.8302, 0.7295, 0.6792], q:[0.5158, 0.3648], qb:[0.7547, 0.805], phi:[0.3899]] | t^2.038 + 2*t^2.189 + t^2.34 + t^2.491 + 2*t^2.642 + t^3.358 + t^4.075 + 2*t^4.226 + t^4.265 + 4*t^4.377 + 4*t^4.528 + 6*t^4.679 + 4*t^4.83 + 4*t^4.981 + 2*t^5.132 + 2*t^5.283 + t^5.396 + t^5.547 + 2*t^5.698 - 2*t^6. - t^4.17/y - t^4.17*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
48301 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.5041, 0.3683], qb:[0.7593, 0.8045], phi:[0.3909]] | t^2.21 + t^2.346 + t^2.481 + 2*t^2.617 + t^3.383 + t^3.79 + t^3.926 + t^4.198 + t^4.42 + 2*t^4.556 + 3*t^4.691 + 2*t^4.827 + 4*t^4.963 + 2*t^5.099 + 2*t^5.235 + 2*t^5.728 - t^6. - t^4.173/y - t^4.173*y | detail |