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 |
---|---|---|---|---|---|---|---|---|---|
54349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6242 | 0.8107 | 0.7699 | [M:[0.7441, 0.7363, 1.0, 1.2559, 0.752, 1.0078], q:[0.752, 0.5039], qb:[0.5117, 0.248], phi:[0.4961]] | [M:[[3], [7], [0], [-3], [-1], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.209 + 2*t^2.256 + t^2.279 + t^2.977 + t^3. + t^3.023 + t^3.047 + 2*t^3.768 + t^4.418 + 2*t^4.465 + t^4.488 + 4*t^4.512 + 3*t^4.535 + 2*t^4.559 + t^5.185 + 2*t^5.232 + 4*t^5.256 + 3*t^5.279 + 3*t^5.303 + t^5.326 + t^5.953 + t^5.977 - 2*t^6. + 4*t^6.023 + 3*t^6.047 + t^6.07 + t^6.094 + t^6.627 + 2*t^6.674 + 2*t^6.721 + 2*t^6.744 + 6*t^6.768 + 5*t^6.791 + 6*t^6.815 + 2*t^6.838 + t^7.394 + 2*t^7.441 + t^7.465 + t^7.488 + 4*t^7.512 + 9*t^7.535 + 7*t^7.559 + 4*t^7.582 + 2*t^7.606 + t^8.162 - 2*t^8.209 + t^8.232 - 5*t^8.256 + 3*t^8.279 + 6*t^8.303 + 6*t^8.326 + 3*t^8.35 + t^8.373 + t^8.836 + 2*t^8.883 + 4*t^8.93 + t^8.953 - t^8.977 - t^4.488/y - t^6.697/y - t^6.744/y + (2*t^7.465)/y + t^7.488/y + t^7.512/y + (2*t^7.535)/y + t^8.185/y + t^8.209/y + (4*t^8.232)/y + (4*t^8.256)/y + (4*t^8.279)/y + (3*t^8.303)/y + t^8.326/y - t^8.906/y - t^8.953/y + (3*t^8.977)/y - t^4.488*y - t^6.697*y - t^6.744*y + 2*t^7.465*y + t^7.488*y + t^7.512*y + 2*t^7.535*y + t^8.185*y + t^8.209*y + 4*t^8.232*y + 4*t^8.256*y + 4*t^8.279*y + 3*t^8.303*y + t^8.326*y - t^8.906*y - t^8.953*y + 3*t^8.977*y | g1^7*t^2.209 + (2*t^2.256)/g1 + t^2.279/g1^5 + g1^4*t^2.977 + t^3. + t^3.023/g1^4 + t^3.047/g1^8 + (2*t^3.768)/g1^3 + g1^14*t^4.418 + 2*g1^6*t^4.465 + g1^2*t^4.488 + (4*t^4.512)/g1^2 + (3*t^4.535)/g1^6 + (2*t^4.559)/g1^10 + g1^11*t^5.185 + 2*g1^3*t^5.232 + (4*t^5.256)/g1 + (3*t^5.279)/g1^5 + (3*t^5.303)/g1^9 + t^5.326/g1^13 + g1^8*t^5.953 + g1^4*t^5.977 - 2*t^6. + (4*t^6.023)/g1^4 + (3*t^6.047)/g1^8 + t^6.07/g1^12 + t^6.094/g1^16 + g1^21*t^6.627 + 2*g1^13*t^6.674 + 2*g1^5*t^6.721 + 2*g1*t^6.744 + (6*t^6.768)/g1^3 + (5*t^6.791)/g1^7 + (6*t^6.815)/g1^11 + (2*t^6.838)/g1^15 + g1^18*t^7.394 + 2*g1^10*t^7.441 + g1^6*t^7.465 + g1^2*t^7.488 + (4*t^7.512)/g1^2 + (9*t^7.535)/g1^6 + (7*t^7.559)/g1^10 + (4*t^7.582)/g1^14 + (2*t^7.606)/g1^18 + g1^15*t^8.162 - 2*g1^7*t^8.209 + g1^3*t^8.232 - (5*t^8.256)/g1 + (3*t^8.279)/g1^5 + (6*t^8.303)/g1^9 + (6*t^8.326)/g1^13 + (3*t^8.35)/g1^17 + t^8.373/g1^21 + g1^28*t^8.836 + 2*g1^20*t^8.883 + 4*g1^12*t^8.93 + g1^8*t^8.953 - g1^4*t^8.977 - (g1^2*t^4.488)/y - (g1^9*t^6.697)/y - (g1*t^6.744)/y + (2*g1^6*t^7.465)/y + (g1^2*t^7.488)/y + t^7.512/(g1^2*y) + (2*t^7.535)/(g1^6*y) + (g1^11*t^8.185)/y + (g1^7*t^8.209)/y + (4*g1^3*t^8.232)/y + (4*t^8.256)/(g1*y) + (4*t^8.279)/(g1^5*y) + (3*t^8.303)/(g1^9*y) + t^8.326/(g1^13*y) - (g1^16*t^8.906)/y - (g1^8*t^8.953)/y + (3*g1^4*t^8.977)/y - g1^2*t^4.488*y - g1^9*t^6.697*y - g1*t^6.744*y + 2*g1^6*t^7.465*y + g1^2*t^7.488*y + (t^7.512*y)/g1^2 + (2*t^7.535*y)/g1^6 + g1^11*t^8.185*y + g1^7*t^8.209*y + 4*g1^3*t^8.232*y + (4*t^8.256*y)/g1 + (4*t^8.279*y)/g1^5 + (3*t^8.303*y)/g1^9 + (t^8.326*y)/g1^13 - g1^16*t^8.906*y - g1^8*t^8.953*y + 3*g1^4*t^8.977*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 |
---|---|---|---|---|---|---|---|---|
56521 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6242 | 0.813 | 0.7678 | [M:[0.7551, 0.762, 1.0, 1.2449, 0.7483, 0.9931, 0.9931], q:[0.7483, 0.4966], qb:[0.4897, 0.2517], phi:[0.5034]] | t^2.224 + 2*t^2.245 + t^2.286 + t^2.959 + 2*t^2.979 + t^3. + 2*t^3.735 + 2*t^4.449 + 3*t^4.469 + 4*t^4.49 + t^4.51 + 2*t^4.531 + t^4.572 + t^5.183 + 4*t^5.204 + 5*t^5.224 + 3*t^5.245 + t^5.265 + t^5.918 + 2*t^5.938 + 5*t^5.959 + 4*t^5.979 - 3*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
46813 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6256 | 0.8117 | 0.7708 | [M:[0.7331, 0.7105, 1.0, 1.2669, 0.7556], q:[0.7556, 0.5113], qb:[0.5339, 0.2444], phi:[0.4887]] | t^2.131 + 2*t^2.267 + t^2.335 + 2*t^2.932 + t^3. + t^3.136 + 2*t^3.801 + t^4.263 + 2*t^4.398 + t^4.466 + 4*t^4.534 + 3*t^4.602 + 2*t^4.669 + 2*t^5.064 + 3*t^5.199 + 5*t^5.267 + t^5.335 + 2*t^5.402 + t^5.47 + 3*t^5.864 + 2*t^5.932 - 3*t^6. - t^4.466/y - t^4.466*y | detail |