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 |
---|---|---|---|---|---|---|---|---|---|
46236 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7008 | 0.8558 | 0.8188 | [M:[1.0, 0.8827, 1.0, 1.0391], q:[0.5195, 0.4805], qb:[0.5977, 0.4805], phi:[0.4805]] | [M:[[1, 1], [-6, 0], [-1, -1], [2, 0]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.648 + t^2.883 + 2*t^3. + t^3.117 + 2*t^3.235 + 3*t^4.324 + 2*t^4.441 + t^4.559 + 2*t^4.676 + t^4.793 + t^5.028 + t^5.296 + t^5.531 + t^5.765 + 2*t^5.883 - 2*t^6. + 2*t^6.117 + 3*t^6.235 + 3*t^6.469 + 3*t^6.972 + 3*t^7.207 + 6*t^7.324 + 6*t^7.559 + 4*t^7.676 + 4*t^7.91 + t^7.945 + 2*t^8.028 + t^8.179 + 2*t^8.262 + 2*t^8.414 + t^8.648 + 4*t^8.765 - 3*t^8.883 - t^4.441/y - t^7.09/y + t^7.793/y + t^8.531/y + (2*t^8.648)/y + t^8.765/y + (4*t^8.883)/y - t^4.441*y - t^7.09*y + t^7.793*y + t^8.531*y + 2*t^8.648*y + t^8.765*y + 4*t^8.883*y | t^2.648/g1^6 + t^2.883/g1^2 + t^3./(g1*g2) + g1*g2*t^3. + g1^2*t^3.117 + (g1^3*t^3.235)/g2 + g1^5*g2*t^3.235 + t^4.324/g1^3 + t^4.324/(g1^5*g2^2) + (g2^2*t^4.324)/g1 + t^4.441/(g1^2*g2) + g2*t^4.441 + g1*t^4.559 + (g1^2*t^4.676)/g2 + g1^4*g2*t^4.676 + g1^5*t^4.793 + g1^9*t^5.028 + t^5.296/g1^12 + t^5.531/g1^8 + t^5.765/g1^4 + t^5.883/(g1^3*g2) + (g2*t^5.883)/g1 - 2*t^6. + (g1*t^6.117)/g2 + g1^3*g2*t^6.117 + g1^4*t^6.235 + (g1^2*t^6.235)/g2^2 + g1^6*g2^2*t^6.235 + g1^8*t^6.469 + (g1^6*t^6.469)/g2^2 + g1^10*g2^2*t^6.469 + t^6.972/g1^9 + t^6.972/(g1^11*g2^2) + (g2^2*t^6.972)/g1^7 + t^7.207/g1^5 + t^7.207/(g1^7*g2^2) + (g2^2*t^7.207)/g1^3 + t^7.324/(g1^6*g2^3) + (2*t^7.324)/(g1^4*g2) + (2*g2*t^7.324)/g1^2 + g2^3*t^7.324 + t^7.559/(g1^2*g2^3) + (2*t^7.559)/g2 + 2*g1^2*g2*t^7.559 + g1^4*g2^3*t^7.559 + 2*g1^3*t^7.676 + (g1*t^7.676)/g2^2 + g1^5*g2^2*t^7.676 + 2*g1^7*t^7.91 + (g1^5*t^7.91)/g2^2 + g1^9*g2^2*t^7.91 + t^7.945/g1^18 + (g1^8*t^8.028)/g2 + g1^10*g2*t^8.028 + t^8.179/g1^14 + (g1^12*t^8.262)/g2 + g1^14*g2*t^8.262 + (2*t^8.414)/g1^10 - t^8.648/g1^6 + t^8.648/(g1^10*g2^4) + (g2^4*t^8.648)/g1^2 + t^8.765/(g1^7*g2^3) + t^8.765/(g1^5*g2) + (g2*t^8.765)/g1^3 + (g2^3*t^8.765)/g1 - (3*t^8.883)/g1^2 - t^4.441/(g1*y) - t^7.09/(g1^7*y) + (g1^5*t^7.793)/y + t^8.531/(g1^8*y) + t^8.648/(g1^7*g2*y) + (g2*t^8.648)/(g1^5*y) + t^8.765/(g1^4*y) + (2*t^8.883)/(g1^3*g2*y) + (2*g2*t^8.883)/(g1*y) - (t^4.441*y)/g1 - (t^7.09*y)/g1^7 + g1^5*t^7.793*y + (t^8.531*y)/g1^8 + (t^8.648*y)/(g1^7*g2) + (g2*t^8.648*y)/g1^5 + (t^8.765*y)/g1^4 + (2*t^8.883*y)/(g1^3*g2) + (2*g2*t^8.883*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
46669 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.7048 | 0.8625 | 0.8171 | [M:[1.0, 0.86, 1.0, 1.0467, 0.9533], q:[0.5233, 0.4767], qb:[0.6167, 0.4767], phi:[0.4767]] | t^2.58 + 2*t^2.86 + 2*t^3. + 2*t^3.28 + 3*t^4.29 + 2*t^4.43 + t^4.57 + 2*t^4.71 + t^4.85 + t^5.13 + t^5.16 + 2*t^5.44 + 2*t^5.72 + 4*t^5.86 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
46516 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6975 | 0.8508 | 0.8198 | [M:[1.0, 0.9056, 1.0, 1.0315, 1.0315], q:[0.5157, 0.4843], qb:[0.5786, 0.4843], phi:[0.4843]] | t^2.717 + 2*t^3. + 2*t^3.094 + 2*t^3.189 + 3*t^4.358 + 2*t^4.453 + t^4.547 + 2*t^4.642 + t^4.736 + t^4.925 + t^5.434 + t^5.811 - 3*t^6. - t^4.453/y - t^4.453*y | detail | |
46681 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*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 |
---|---|---|---|---|---|---|---|---|---|
46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |