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 |
---|---|---|---|---|---|---|---|---|---|
961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7008 | 0.8558 | 0.8188 | [M:[0.8827, 1.0391, 0.9218, 1.0, 1.0, 1.0782], q:[0.5977, 0.5195], qb:[0.4805, 0.4805], phi:[0.4805]] | [M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [-3, -5]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -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 | g1^6*g2^6*t^2.648 + g1^2*g2^2*t^2.883 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.117/(g1^2*g2^2) + t^3.235/(g1^3*g2^5) + t^3.235/(g1^5*g2^3) + g1^5*g2*t^4.324 + g1^3*g2^3*t^4.324 + g1*g2^5*t^4.324 + g1^2*t^4.441 + g2^2*t^4.441 + t^4.559/(g1*g2) + t^4.676/(g1^2*g2^4) + t^4.676/(g1^4*g2^2) + t^4.793/(g1^5*g2^5) + t^5.028/(g1^9*g2^9) + g1^12*g2^12*t^5.296 + g1^8*g2^8*t^5.531 + g1^4*g2^4*t^5.765 + g1^3*g2*t^5.883 + g1*g2^3*t^5.883 - 2*t^6. + t^6.117/(g1*g2^3) + t^6.117/(g1^3*g2) + t^6.235/(g1^2*g2^6) + t^6.235/(g1^4*g2^4) + t^6.235/(g1^6*g2^2) + t^6.469/(g1^6*g2^10) + t^6.469/(g1^8*g2^8) + t^6.469/(g1^10*g2^6) + g1^11*g2^7*t^6.972 + g1^9*g2^9*t^6.972 + g1^7*g2^11*t^6.972 + g1^7*g2^3*t^7.207 + g1^5*g2^5*t^7.207 + g1^3*g2^7*t^7.207 + g1^6*t^7.324 + 2*g1^4*g2^2*t^7.324 + 2*g1^2*g2^4*t^7.324 + g2^6*t^7.324 + (2*t^7.559)/g1^2 + (g1^2*t^7.559)/g2^4 + (2*t^7.559)/g2^2 + (g2^2*t^7.559)/g1^4 + t^7.676/(g1*g2^5) + (2*t^7.676)/(g1^3*g2^3) + t^7.676/(g1^5*g2) + t^7.91/(g1^5*g2^9) + (2*t^7.91)/(g1^7*g2^7) + t^7.91/(g1^9*g2^5) + g1^18*g2^18*t^7.945 + t^8.028/(g1^8*g2^10) + t^8.028/(g1^10*g2^8) + g1^14*g2^14*t^8.179 + t^8.262/(g1^12*g2^14) + t^8.262/(g1^14*g2^12) + 2*g1^10*g2^10*t^8.414 + g1^10*g2^2*t^8.648 - g1^6*g2^6*t^8.648 + g1^2*g2^10*t^8.648 + g1^7*g2*t^8.765 + g1^5*g2^3*t^8.765 + g1^3*g2^5*t^8.765 + g1*g2^7*t^8.765 - 3*g1^2*g2^2*t^8.883 - (g1*g2*t^4.441)/y - (g1^7*g2^7*t^7.09)/y + t^7.793/(g1^5*g2^5*y) + (g1^8*g2^8*t^8.531)/y + (g1^7*g2^5*t^8.648)/y + (g1^5*g2^7*t^8.648)/y + (g1^4*g2^4*t^8.765)/y + (2*g1^3*g2*t^8.883)/y + (2*g1*g2^3*t^8.883)/y - g1*g2*t^4.441*y - g1^7*g2^7*t^7.09*y + (t^7.793*y)/(g1^5*g2^5) + g1^8*g2^8*t^8.531*y + g1^7*g2^5*t^8.648*y + g1^5*g2^7*t^8.648*y + g1^4*g2^4*t^8.765*y + 2*g1^3*g2*t^8.883*y + 2*g1*g2^3*t^8.883*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 |
---|---|---|---|---|---|---|---|---|
1495 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6975 | 0.8508 | 0.8198 | [M:[0.9056, 1.0315, 0.9371, 1.0, 1.0, 1.0629, 1.0315], q:[0.5786, 0.5157], qb:[0.4843, 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 | |
1493 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.5881 | 0.7448 | 0.7895 | [M:[1.0495, 0.9835, 0.7954, 1.2376, 0.7624, 1.2046], q:[0.4588, 0.4918], qb:[0.7459, 0.2706], phi:[0.5082]] | t^2.188 + t^2.287 + t^2.951 + t^3.049 + 2*t^3.148 + t^3.614 + 2*t^3.713 + t^3.812 + t^4.277 + 2*t^4.376 + 2*t^4.475 + t^4.574 + t^5.139 + 2*t^5.238 + 2*t^5.337 + t^5.436 + t^5.802 + 2*t^5.901 - t^4.525/y - t^4.525*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 |
---|---|---|---|---|---|---|---|---|---|
600 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 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 |