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 |
---|---|---|---|---|---|---|---|---|---|
46953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.641 | 0.7974 | 0.8038 | [X:[1.4972], M:[0.5028, 0.9322, 1.2147, 0.7853, 0.7119], q:[0.7119, 0.7853], qb:[0.3559, 0.4294], phi:[0.4294]] | [X:[[7]], M:[[-7], [-9], [-1], [1], [6]], q:[[6], [1]], qb:[[3], [-2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.136 + t^2.356 + t^2.576 + t^2.797 + 3*t^3.424 + 2*t^3.644 + t^4.271 + 3*t^4.492 + 3*t^4.712 + t^4.932 + t^5.152 + t^5.373 + 4*t^5.559 + t^5.593 + 4*t^5.78 + t^6. + t^6.22 + t^6.407 + t^6.441 + 3*t^6.627 + 7*t^6.848 + 4*t^7.068 + t^7.288 + t^7.508 + 4*t^7.695 + 2*t^7.729 + 8*t^7.915 + t^7.949 + 5*t^8.136 + t^8.169 - 3*t^8.356 + t^8.39 + t^8.543 - 2*t^8.576 + 3*t^8.763 - t^8.797 + 10*t^8.983 - t^4.288/y - t^6.424/y - t^6.864/y - t^7.085/y + (2*t^7.492)/y + (2*t^7.712)/y + (2*t^7.932)/y + (2*t^8.152)/y + t^8.373/y + (2*t^8.559)/y + (5*t^8.78)/y - t^4.288*y - t^6.424*y - t^6.864*y - t^7.085*y + 2*t^7.492*y + 2*t^7.712*y + 2*t^7.932*y + 2*t^8.152*y + t^8.373*y + 2*t^8.559*y + 5*t^8.78*y | g1^6*t^2.136 + g1*t^2.356 + t^2.576/g1^4 + t^2.797/g1^9 + 3*g1^4*t^3.424 + (2*t^3.644)/g1 + g1^12*t^4.271 + 3*g1^7*t^4.492 + 3*g1^2*t^4.712 + t^4.932/g1^3 + t^5.152/g1^8 + t^5.373/g1^13 + 4*g1^10*t^5.559 + t^5.593/g1^18 + 4*g1^5*t^5.78 + t^6. + t^6.22/g1^5 + g1^18*t^6.407 + t^6.441/g1^10 + 3*g1^13*t^6.627 + 7*g1^8*t^6.848 + 4*g1^3*t^7.068 + t^7.288/g1^2 + t^7.508/g1^7 + 4*g1^16*t^7.695 + (2*t^7.729)/g1^12 + 8*g1^11*t^7.915 + t^7.949/g1^17 + 5*g1^6*t^8.136 + t^8.169/g1^22 - 3*g1*t^8.356 + t^8.39/g1^27 + g1^24*t^8.543 - (2*t^8.576)/g1^4 + 3*g1^19*t^8.763 - t^8.797/g1^9 + 10*g1^14*t^8.983 - t^4.288/(g1^2*y) - (g1^4*t^6.424)/y - t^6.864/(g1^6*y) - t^7.085/(g1^11*y) + (2*g1^7*t^7.492)/y + (2*g1^2*t^7.712)/y + (2*t^7.932)/(g1^3*y) + (2*t^8.152)/(g1^8*y) + t^8.373/(g1^13*y) + (2*g1^10*t^8.559)/y + (5*g1^5*t^8.78)/y - (t^4.288*y)/g1^2 - g1^4*t^6.424*y - (t^6.864*y)/g1^6 - (t^7.085*y)/g1^11 + 2*g1^7*t^7.492*y + 2*g1^2*t^7.712*y + (2*t^7.932*y)/g1^3 + (2*t^8.152*y)/g1^8 + (t^8.373*y)/g1^13 + 2*g1^10*t^8.559*y + 5*g1^5*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
54924 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.5066, 0.937, 1.2152, 0.7848, 0.7086, 0.7848], q:[0.7086, 0.7848], qb:[0.3543, 0.4305], phi:[0.4305]] | t^2.126 + 2*t^2.354 + t^2.583 + t^2.811 + 3*t^3.417 + t^3.646 + t^4.252 + 4*t^4.48 + 5*t^4.709 + 2*t^4.937 + 2*t^5.165 + t^5.394 + 4*t^5.543 + t^5.622 + 6*t^5.772 + t^6. - t^4.291/y - t^4.291*y | detail | |
55359 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.629 | 0.7788 | 0.8077 | [X:[1.4751], M:[0.5249, 0.9606, 1.2178, 0.7822, 0.6929, 1.1286], q:[0.6929, 0.7822], qb:[0.3465, 0.4357], phi:[0.4357]] | t^2.079 + t^2.346 + t^2.882 + 4*t^3.386 + 2*t^3.654 + t^4.158 + 3*t^4.425 + 2*t^4.693 + 5*t^5.465 + 5*t^5.732 + t^5.763 - 2*t^6. - t^4.307/y - t^4.307*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 |
---|---|---|---|---|---|---|---|---|---|
46697 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.6208 | 0.7591 | 0.8178 | [X:[1.509], M:[0.491, 0.917, 1.213, 0.787], q:[0.722, 0.787], qb:[0.361, 0.426], phi:[0.426]] | t^2.361 + t^2.556 + t^2.751 + 3*t^3.444 + 2*t^3.639 + t^3.834 + 2*t^4.527 + 2*t^4.722 + t^5.112 + t^5.307 + t^5.502 + t^5.61 + 2*t^5.805 + t^6. - t^4.278/y - t^4.278*y | detail |