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 |
---|---|---|---|---|---|---|---|---|---|
476 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6898 | 0.8768 | 0.7867 | [M:[0.6887, 0.72, 0.6887, 0.6991, 0.6783, 1.28], q:[0.8252, 0.8252], qb:[0.4861, 0.4652], phi:[0.3496]] | [M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0], [0, -2, -2], [0, -5, 1], [0, -1, 5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.035 + 2*t^2.066 + 2*t^2.097 + t^2.854 + t^3.84 + 2*t^3.871 + t^4.07 + 2*t^4.101 + 5*t^4.132 + 4*t^4.164 + 3*t^4.195 + t^4.889 + 2*t^4.92 + 3*t^4.951 + t^5.708 + t^5.875 + 4*t^5.906 + 5*t^5.938 + 2*t^5.969 - 3*t^6. - 2*t^6.031 - t^6.062 + t^6.105 + 2*t^6.136 + 5*t^6.167 + 8*t^6.199 + 9*t^6.23 + 6*t^6.261 + 4*t^6.292 + t^6.694 + 2*t^6.725 + t^6.924 + 2*t^6.955 + 5*t^6.986 + 4*t^7.017 + 3*t^7.049 - 2*t^7.08 - t^7.111 + t^7.68 + 2*t^7.711 + 3*t^7.743 - 2*t^7.836 - t^7.868 + t^7.91 + 4*t^7.941 + 8*t^7.972 + 10*t^8.004 + 2*t^8.035 - 6*t^8.066 - 10*t^8.097 - 6*t^8.129 + t^8.14 - 2*t^8.16 + 2*t^8.171 + 5*t^8.202 + 8*t^8.233 + 14*t^8.265 + 14*t^8.296 + 13*t^8.327 + 8*t^8.358 + 5*t^8.39 + t^8.562 + t^8.729 + 4*t^8.76 + 5*t^8.791 + 2*t^8.823 - 5*t^8.854 - 4*t^8.885 - 2*t^8.916 + t^8.959 + 2*t^8.99 - t^4.049/y - t^6.084/y - (2*t^6.115)/y - (2*t^6.146)/y + (2*t^7.101)/y + (3*t^7.132)/y + (4*t^7.164)/y + t^7.195/y + t^7.889/y + (2*t^7.92)/y + (4*t^7.951)/y + (2*t^7.983)/y + t^8.014/y - t^8.119/y - (2*t^8.15)/y - (5*t^8.181)/y - (4*t^8.212)/y - (3*t^8.244)/y + t^8.875/y + (4*t^8.906)/y + (6*t^8.938)/y + (4*t^8.969)/y - t^4.049*y - t^6.084*y - 2*t^6.115*y - 2*t^6.146*y + 2*t^7.101*y + 3*t^7.132*y + 4*t^7.164*y + t^7.195*y + t^7.889*y + 2*t^7.92*y + 4*t^7.951*y + 2*t^7.983*y + t^8.014*y - t^8.119*y - 2*t^8.15*y - 5*t^8.181*y - 4*t^8.212*y - 3*t^8.244*y + t^8.875*y + 4*t^8.906*y + 6*t^8.938*y + 4*t^8.969*y | (g3*t^2.035)/g2^5 + t^2.066/(g1*g2^3) + (g1*t^2.066)/(g2^4*g3) + (2*t^2.097)/(g2^2*g3^2) + g2^3*g3^3*t^2.854 + (g3^5*t^3.84)/g2 + g1*g3^3*t^3.871 + (g2*g3^4*t^3.871)/g1 + (g3^2*t^4.07)/g2^10 + (g1*t^4.101)/g2^9 + (g3*t^4.101)/(g1*g2^8) + t^4.132/(g1^2*g2^6) + (g1^2*t^4.132)/(g2^8*g3^2) + (3*t^4.132)/(g2^7*g3) + (2*g1*t^4.164)/(g2^6*g3^3) + (2*t^4.164)/(g1*g2^5*g3^2) + (3*t^4.195)/(g2^4*g3^4) + (g3^4*t^4.889)/g2^2 + (g1*g3^2*t^4.92)/g2 + (g3^3*t^4.92)/g1 + 3*g2*g3*t^4.951 + g2^6*g3^6*t^5.708 + (g3^6*t^5.875)/g2^6 + (2*g1*g3^4*t^5.906)/g2^5 + (2*g3^5*t^5.906)/(g1*g2^4) + (g1^2*g3^2*t^5.938)/g2^4 + (3*g3^3*t^5.938)/g2^3 + (g3^4*t^5.938)/(g1^2*g2^2) + (g1*g3*t^5.969)/g2^2 + (g3^2*t^5.969)/(g1*g2) - 3*t^6. - (g1*g2*t^6.031)/g3^2 - (g2^2*t^6.031)/(g1*g3) - (g2^3*t^6.062)/g3^3 + (g3^3*t^6.105)/g2^15 + (g1*g3*t^6.136)/g2^14 + (g3^2*t^6.136)/(g1*g2^13) + (3*t^6.167)/g2^12 + (g1^2*t^6.167)/(g2^13*g3) + (g3*t^6.167)/(g1^2*g2^11) + t^6.199/(g1^3*g2^9) + (g1^3*t^6.199)/(g2^12*g3^3) + (3*g1*t^6.199)/(g2^11*g3^2) + (3*t^6.199)/(g1*g2^10*g3) + (2*g1^2*t^6.23)/(g2^10*g3^4) + (5*t^6.23)/(g2^9*g3^3) + (2*t^6.23)/(g1^2*g2^8*g3^2) + (3*g1*t^6.261)/(g2^8*g3^5) + (3*t^6.261)/(g1*g2^7*g3^4) + (4*t^6.292)/(g2^6*g3^6) + g2^2*g3^8*t^6.694 + g1*g2^3*g3^6*t^6.725 + (g2^4*g3^7*t^6.725)/g1 + (g3^5*t^6.924)/g2^7 + (g1*g3^3*t^6.955)/g2^6 + (g3^4*t^6.955)/(g1*g2^5) + (g1^2*g3*t^6.986)/g2^5 + (3*g3^2*t^6.986)/g2^4 + (g3^3*t^6.986)/(g1^2*g2^3) + (2*g1*t^7.017)/g2^3 + (2*g3*t^7.017)/(g1*g2^2) + (3*t^7.049)/(g2*g3) - (g1*t^7.08)/g3^3 - (g2*t^7.08)/(g1*g3^2) - (g2^2*t^7.111)/g3^4 + (g3^10*t^7.68)/g2^2 + (g1*g3^8*t^7.711)/g2 + (g3^9*t^7.711)/g1 + g1^2*g3^6*t^7.743 + g2*g3^7*t^7.743 + (g2^2*g3^8*t^7.743)/g1^2 - g1*g2^5*g3^2*t^7.836 - (g2^6*g3^3*t^7.836)/g1 - g2^7*g3*t^7.868 + (g3^7*t^7.91)/g2^11 + (2*g1*g3^5*t^7.941)/g2^10 + (2*g3^6*t^7.941)/(g1*g2^9) + (2*g1^2*g3^3*t^7.972)/g2^9 + (4*g3^4*t^7.972)/g2^8 + (2*g3^5*t^7.972)/(g1^2*g2^7) + (g1^3*g3*t^8.004)/g2^8 + (4*g1*g3^2*t^8.004)/g2^7 + (4*g3^3*t^8.004)/(g1*g2^6) + (g3^4*t^8.004)/(g1^3*g2^5) + (g1^2*t^8.035)/g2^6 + (g3^2*t^8.035)/(g1^2*g2^4) - (3*t^8.066)/(g1*g2^3) - (3*g1*t^8.066)/(g2^4*g3) - (g1^2*t^8.097)/(g2^3*g3^3) - (8*t^8.097)/(g2^2*g3^2) - t^8.097/(g1^2*g2*g3) - (3*g1*t^8.129)/(g2*g3^4) - (3*t^8.129)/(g1*g3^3) + (g3^4*t^8.14)/g2^20 - (2*g2*t^8.16)/g3^5 + (g1*g3^2*t^8.171)/g2^19 + (g3^3*t^8.171)/(g1*g2^18) + (g1^2*t^8.202)/g2^18 + (3*g3*t^8.202)/g2^17 + (g3^2*t^8.202)/(g1^2*g2^16) + (3*t^8.233)/(g1*g2^15) + (g1^3*t^8.233)/(g2^17*g3^2) + (3*g1*t^8.233)/(g2^16*g3) + (g3*t^8.233)/(g1^3*g2^14) + t^8.265/(g1^4*g2^12) + (g1^4*t^8.265)/(g2^16*g3^4) + (3*g1^2*t^8.265)/(g2^15*g3^3) + (6*t^8.265)/(g2^14*g3^2) + (3*t^8.265)/(g1^2*g2^13*g3) + (2*g1^3*t^8.296)/(g2^14*g3^5) + (5*g1*t^8.296)/(g2^13*g3^4) + (5*t^8.296)/(g1*g2^12*g3^3) + (2*t^8.296)/(g1^3*g2^11*g3^2) + (3*g1^2*t^8.327)/(g2^12*g3^6) + (7*t^8.327)/(g2^11*g3^5) + (3*t^8.327)/(g1^2*g2^10*g3^4) + (4*g1*t^8.358)/(g2^10*g3^7) + (4*t^8.358)/(g1*g2^9*g3^6) + (5*t^8.39)/(g2^8*g3^8) + g2^9*g3^9*t^8.562 + (g3^9*t^8.729)/g2^3 + (2*g1*g3^7*t^8.76)/g2^2 + (2*g3^8*t^8.76)/(g1*g2) + (g1^2*g3^5*t^8.791)/g2 + 3*g3^6*t^8.791 + (g2*g3^7*t^8.791)/g1^2 + g1*g2*g3^4*t^8.823 + (g2^2*g3^5*t^8.823)/g1 - 5*g2^3*g3^3*t^8.854 - 2*g1*g2^4*g3*t^8.885 - (2*g2^5*g3^2*t^8.885)/g1 - 2*g2^6*t^8.916 + (g3^6*t^8.959)/g2^12 + (g1*g3^4*t^8.99)/g2^11 + (g3^5*t^8.99)/(g1*g2^10) - t^4.049/(g2*g3*y) - t^6.084/(g2^6*y) - (g1*t^6.115)/(g2^5*g3^2*y) - t^6.115/(g1*g2^4*g3*y) - (2*t^6.146)/(g2^3*g3^3*y) + (g1*t^7.101)/(g2^9*y) + (g3*t^7.101)/(g1*g2^8*y) + (3*t^7.132)/(g2^7*g3*y) + (2*g1*t^7.164)/(g2^6*g3^3*y) + (2*t^7.164)/(g1*g2^5*g3^2*y) + t^7.195/(g2^4*g3^4*y) + (g3^4*t^7.889)/(g2^2*y) + (g1*g3^2*t^7.92)/(g2*y) + (g3^3*t^7.92)/(g1*y) + (4*g2*g3*t^7.951)/y + (g2^3*t^7.983)/(g1*y) + (g1*g2^2*t^7.983)/(g3*y) + (g2^4*t^8.014)/(g3^2*y) - (g3*t^8.119)/(g2^11*y) - t^8.15/(g1*g2^9*y) - (g1*t^8.15)/(g2^10*g3*y) - (g1^2*t^8.181)/(g2^9*g3^3*y) - (3*t^8.181)/(g2^8*g3^2*y) - t^8.181/(g1^2*g2^7*g3*y) - (2*g1*t^8.212)/(g2^7*g3^4*y) - (2*t^8.212)/(g1*g2^6*g3^3*y) - (3*t^8.244)/(g2^5*g3^5*y) + (g3^6*t^8.875)/(g2^6*y) + (2*g1*g3^4*t^8.906)/(g2^5*y) + (2*g3^5*t^8.906)/(g1*g2^4*y) + (g1^2*g3^2*t^8.938)/(g2^4*y) + (4*g3^3*t^8.938)/(g2^3*y) + (g3^4*t^8.938)/(g1^2*g2^2*y) + (2*g1*g3*t^8.969)/(g2^2*y) + (2*g3^2*t^8.969)/(g1*g2*y) - (t^4.049*y)/(g2*g3) - (t^6.084*y)/g2^6 - (g1*t^6.115*y)/(g2^5*g3^2) - (t^6.115*y)/(g1*g2^4*g3) - (2*t^6.146*y)/(g2^3*g3^3) + (g1*t^7.101*y)/g2^9 + (g3*t^7.101*y)/(g1*g2^8) + (3*t^7.132*y)/(g2^7*g3) + (2*g1*t^7.164*y)/(g2^6*g3^3) + (2*t^7.164*y)/(g1*g2^5*g3^2) + (t^7.195*y)/(g2^4*g3^4) + (g3^4*t^7.889*y)/g2^2 + (g1*g3^2*t^7.92*y)/g2 + (g3^3*t^7.92*y)/g1 + 4*g2*g3*t^7.951*y + (g2^3*t^7.983*y)/g1 + (g1*g2^2*t^7.983*y)/g3 + (g2^4*t^8.014*y)/g3^2 - (g3*t^8.119*y)/g2^11 - (t^8.15*y)/(g1*g2^9) - (g1*t^8.15*y)/(g2^10*g3) - (g1^2*t^8.181*y)/(g2^9*g3^3) - (3*t^8.181*y)/(g2^8*g3^2) - (t^8.181*y)/(g1^2*g2^7*g3) - (2*g1*t^8.212*y)/(g2^7*g3^4) - (2*t^8.212*y)/(g1*g2^6*g3^3) - (3*t^8.244*y)/(g2^5*g3^5) + (g3^6*t^8.875*y)/g2^6 + (2*g1*g3^4*t^8.906*y)/g2^5 + (2*g3^5*t^8.906*y)/(g1*g2^4) + (g1^2*g3^2*t^8.938*y)/g2^4 + (4*g3^3*t^8.938*y)/g2^3 + (g3^4*t^8.938*y)/(g1^2*g2^2) + (2*g1*g3*t^8.969*y)/g2^2 + (2*g3^2*t^8.969*y)/(g1*g2) |
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 |
---|---|---|---|---|---|---|---|---|
764 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ | 0.6895 | 0.8749 | 0.7881 | [M:[0.7005, 0.7005, 0.6863, 0.6958, 0.6911, 1.2995], q:[0.819, 0.8331], qb:[0.4805, 0.4758], phi:[0.3479]] | t^2.059 + t^2.073 + 2*t^2.087 + t^2.102 + t^2.869 + t^3.884 + t^3.898 + t^3.927 + t^4.118 + t^4.132 + 3*t^4.146 + 3*t^4.161 + 4*t^4.175 + 2*t^4.189 + t^4.203 + t^4.928 + t^4.942 + 3*t^4.956 + t^4.97 + t^5.738 + t^5.943 + 2*t^5.958 + 2*t^5.972 + 2*t^5.986 - t^6. - t^4.044/y - t^4.044*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 |
---|---|---|---|---|---|---|---|---|---|
302 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7102 | 0.9148 | 0.7763 | [M:[0.6894, 0.6991, 0.6894, 0.6926, 0.6862], q:[0.8268, 0.8268], qb:[0.4837, 0.4773], phi:[0.3463]] | t^2.059 + 2*t^2.068 + 2*t^2.078 + t^2.097 + t^2.883 + 2*t^3.912 + t^4.117 + 2*t^4.127 + 5*t^4.136 + 4*t^4.146 + 4*t^4.156 + 2*t^4.166 + 2*t^4.175 + t^4.195 + t^4.942 + 2*t^4.951 + 3*t^4.961 + t^4.98 + t^5.766 + 2*t^5.971 + 3*t^5.981 + 2*t^5.99 - 3*t^6. - t^4.039/y - t^4.039*y | detail |