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 |
---|---|---|---|---|---|---|---|---|---|
486 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6692 | 0.8369 | 0.7996 | [M:[0.7022, 0.7192, 0.6851, 0.6851, 1.2808], q:[0.8159, 0.833], qb:[0.4819, 0.4649], phi:[0.3511]] | [M:[[-2, -2], [1, -5], [-5, 1], [-5, 1], [-1, 5]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.055 + 2*t^2.106 + t^2.84 + 2*t^3.842 + 2*t^3.894 + 3*t^4.111 + 4*t^4.162 + 3*t^4.213 + 2*t^4.896 + 3*t^4.947 + t^5.681 + 4*t^5.898 + 6*t^5.949 - t^6. - 2*t^6.051 + 4*t^6.166 + 6*t^6.217 + 6*t^6.268 + 4*t^6.319 + 2*t^6.683 + 2*t^6.734 + 3*t^6.951 + 4*t^7.002 + t^7.053 - 2*t^7.104 + 3*t^7.685 + 4*t^7.736 + t^7.787 - 2*t^7.838 + 6*t^7.953 + 10*t^8.004 - 7*t^8.106 - 4*t^8.158 + 5*t^8.221 + 8*t^8.273 + 9*t^8.324 + 8*t^8.375 + 5*t^8.426 + t^8.521 + 4*t^8.738 + 6*t^8.789 - 3*t^8.84 - 4*t^8.891 - t^4.053/y - (2*t^6.109)/y - (2*t^6.16)/y + t^7.111/y + (4*t^7.162)/y + t^7.213/y + (2*t^7.896)/y + (4*t^7.947)/y + (2*t^7.998)/y - (3*t^8.164)/y - (4*t^8.215)/y - (3*t^8.266)/y + (4*t^8.898)/y + (8*t^8.949)/y - t^4.053*y - 2*t^6.109*y - 2*t^6.16*y + t^7.111*y + 4*t^7.162*y + t^7.213*y + 2*t^7.896*y + 4*t^7.947*y + 2*t^7.998*y - 3*t^8.164*y - 4*t^8.215*y - 3*t^8.266*y + 4*t^8.898*y + 8*t^8.949*y | (2*g2*t^2.055)/g1^5 + (2*t^2.106)/(g1^2*g2^2) + g1^3*g2^3*t^2.84 + (2*g2^5*t^3.842)/g1 + 2*g1^2*g2^2*t^3.894 + (3*g2^2*t^4.111)/g1^10 + (4*t^4.162)/(g1^7*g2) + (3*t^4.213)/(g1^4*g2^4) + (2*g2^4*t^4.896)/g1^2 + 3*g1*g2*t^4.947 + g1^6*g2^6*t^5.681 + (4*g2^6*t^5.898)/g1^6 + (6*g2^3*t^5.949)/g1^3 - t^6. - (2*g1^3*t^6.051)/g2^3 + (4*g2^3*t^6.166)/g1^15 + (6*t^6.217)/g1^12 + (6*t^6.268)/(g1^9*g2^3) + (4*t^6.319)/(g1^6*g2^6) + 2*g1^2*g2^8*t^6.683 + 2*g1^5*g2^5*t^6.734 + (3*g2^5*t^6.951)/g1^7 + (4*g2^2*t^7.002)/g1^4 + t^7.053/(g1*g2) - (2*g1^2*t^7.104)/g2^4 + (3*g2^10*t^7.685)/g1^2 + 4*g1*g2^7*t^7.736 + g1^4*g2^4*t^7.787 - 2*g1^7*g2*t^7.838 + (6*g2^7*t^7.953)/g1^11 + (10*g2^4*t^8.004)/g1^8 - (7*t^8.106)/(g1^2*g2^2) - (4*g1*t^8.158)/g2^5 + (5*g2^4*t^8.221)/g1^20 + (8*g2*t^8.273)/g1^17 + (9*t^8.324)/(g1^14*g2^2) + (8*t^8.375)/(g1^11*g2^5) + (5*t^8.426)/(g1^8*g2^8) + g1^9*g2^9*t^8.521 + (4*g2^9*t^8.738)/g1^3 + 6*g2^6*t^8.789 - 3*g1^3*g2^3*t^8.84 - 4*g1^6*t^8.891 - t^4.053/(g1*g2*y) - (2*t^6.109)/(g1^6*y) - (2*t^6.16)/(g1^3*g2^3*y) + (g2^2*t^7.111)/(g1^10*y) + (4*t^7.162)/(g1^7*g2*y) + t^7.213/(g1^4*g2^4*y) + (2*g2^4*t^7.896)/(g1^2*y) + (4*g1*g2*t^7.947)/y + (2*g1^4*t^7.998)/(g2^2*y) - (3*g2*t^8.164)/(g1^11*y) - (4*t^8.215)/(g1^8*g2^2*y) - (3*t^8.266)/(g1^5*g2^5*y) + (4*g2^6*t^8.898)/(g1^6*y) + (8*g2^3*t^8.949)/(g1^3*y) - (t^4.053*y)/(g1*g2) - (2*t^6.109*y)/g1^6 - (2*t^6.16*y)/(g1^3*g2^3) + (g2^2*t^7.111*y)/g1^10 + (4*t^7.162*y)/(g1^7*g2) + (t^7.213*y)/(g1^4*g2^4) + (2*g2^4*t^7.896*y)/g1^2 + 4*g1*g2*t^7.947*y + (2*g1^4*t^7.998*y)/g2^2 - (3*g2*t^8.164*y)/g1^11 - (4*t^8.215*y)/(g1^8*g2^2) - (3*t^8.266*y)/(g1^5*g2^5) + (4*g2^6*t^8.898*y)/g1^6 + (8*g2^3*t^8.949*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
778 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6897 | 0.8762 | 0.7872 | [M:[0.6979, 0.713, 0.6829, 0.6829, 1.287, 0.6979], q:[0.818, 0.8331], qb:[0.4841, 0.469], phi:[0.349]] | 2*t^2.049 + 3*t^2.094 + t^2.859 + 2*t^3.861 + t^3.906 + 3*t^4.097 + 6*t^4.142 + 6*t^4.188 + 2*t^4.908 + 4*t^4.953 + t^5.718 + 4*t^5.909 + 6*t^5.955 - 2*t^6. - t^4.047/y - t^4.047*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 |
---|---|---|---|---|---|---|---|---|---|
310 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6693 | 0.8377 | 0.7989 | [M:[0.6919, 0.7273, 0.6919, 0.6801, 1.2727], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]] | t^2.04 + 2*t^2.076 + t^2.111 + t^2.834 + t^3.818 + 2*t^3.854 + t^3.889 + t^4.08 + 2*t^4.116 + 4*t^4.151 + 2*t^4.187 + t^4.222 + t^4.874 + 2*t^4.909 + 2*t^4.945 + t^5.667 + t^5.858 + 4*t^5.894 + 5*t^5.929 + 2*t^5.965 - 2*t^6. - t^4.055/y - t^4.055*y | detail |