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 |
---|---|---|---|---|---|---|---|---|---|
143 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.628 | 0.7571 | 0.8294 | [M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], phi:[0.3544]] | [M:[[4, 4], [-7, -1], [2, -10]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$ | -2 | t^2.104 + t^2.137 + t^2.811 + t^3.852 + t^3.863 + 2*t^3.874 + 2*t^3.885 + t^4.208 + t^4.241 + t^4.274 + t^4.915 + t^4.937 + t^4.948 + t^5.622 + t^5.956 + t^5.967 + t^5.978 + t^5.989 - 2*t^6. + t^6.022 + t^6.313 + t^6.345 + t^6.378 + t^6.411 + t^6.663 + t^6.674 + 2*t^6.685 + 2*t^6.696 + t^7.019 - t^7.052 - 2*t^7.063 - t^7.074 + t^7.704 + t^7.715 + 3*t^7.726 + 2*t^7.737 + 3*t^7.748 + 3*t^7.759 + 2*t^7.77 + t^8.06 + t^8.071 + t^8.082 + t^8.093 - 2*t^8.104 - t^8.115 + t^8.126 - 2*t^8.137 + t^8.159 + t^8.417 + t^8.432 + t^8.45 + t^8.483 + t^8.515 + t^8.548 + t^8.767 + t^8.778 + t^8.789 - 2*t^8.811 - t^4.063/y - t^6.167/y - t^6.2/y + t^7.241/y + t^7.915/y + t^7.926/y + t^7.948/y + t^7.959/y - t^8.271/y - t^8.304/y - t^8.337/y + t^8.956/y + t^8.967/y + (2*t^8.978)/y + (3*t^8.989)/y - t^4.063*y - t^6.167*y - t^6.2*y + t^7.241*y + t^7.915*y + t^7.926*y + t^7.948*y + t^7.959*y - t^8.271*y - t^8.304*y - t^8.337*y + t^8.956*y + t^8.967*y + 2*t^8.978*y + 3*t^8.989*y | (g1^2*t^2.104)/g2^10 + t^2.137/(g1^7*g2) + g1^6*g2^6*t^2.811 + (g1^10*t^3.852)/g2^2 + g1^7*g2*t^3.863 + 2*g1^4*g2^4*t^3.874 + 2*g1*g2^7*t^3.885 + (g1^4*t^4.208)/g2^20 + t^4.241/(g1^5*g2^11) + t^4.274/(g1^14*g2^2) + (g1^8*t^4.915)/g2^4 + g1^2*g2^2*t^4.937 + (g2^5*t^4.948)/g1 + g1^12*g2^12*t^5.622 + (g1^12*t^5.956)/g2^12 + (g1^9*t^5.967)/g2^9 + (g1^6*t^5.978)/g2^6 + (g1^3*t^5.989)/g2^3 - 2*t^6. + (g2^6*t^6.022)/g1^6 + (g1^6*t^6.313)/g2^30 + t^6.345/(g1^3*g2^21) + t^6.378/(g1^12*g2^12) + t^6.411/(g1^21*g2^3) + g1^16*g2^4*t^6.663 + g1^13*g2^7*t^6.674 + 2*g1^10*g2^10*t^6.685 + 2*g1^7*g2^13*t^6.696 + (g1^10*t^7.019)/g2^14 - (g1*t^7.052)/g2^5 - (2*t^7.063)/(g1^2*g2^2) - (g2*t^7.074)/g1^5 + (g1^20*t^7.704)/g2^4 + (g1^17*t^7.715)/g2 + 3*g1^14*g2^2*t^7.726 + 2*g1^11*g2^5*t^7.737 + 3*g1^8*g2^8*t^7.748 + 3*g1^5*g2^11*t^7.759 + 2*g1^2*g2^14*t^7.77 + (g1^14*t^8.06)/g2^22 + (g1^11*t^8.071)/g2^19 + (g1^8*t^8.082)/g2^16 + (g1^5*t^8.093)/g2^13 - (2*g1^2*t^8.104)/g2^10 - t^8.115/(g1*g2^7) + t^8.126/(g1^4*g2^4) - (2*t^8.137)/(g1^7*g2) + (g2^5*t^8.159)/g1^13 + (g1^8*t^8.417)/g2^40 + g1^18*g2^18*t^8.432 + t^8.45/(g1*g2^31) + t^8.483/(g1^10*g2^22) + t^8.515/(g1^19*g2^13) + t^8.548/(g1^28*g2^4) + (g1^18*t^8.767)/g2^6 + (g1^15*t^8.778)/g2^3 + g1^12*t^8.789 - 2*g1^6*g2^6*t^8.811 - t^4.063/(g1^2*g2^2*y) - t^6.167/(g2^12*y) - t^6.2/(g1^9*g2^3*y) + t^7.241/(g1^5*g2^11*y) + (g1^8*t^7.915)/(g2^4*y) + (g1^5*t^7.926)/(g2*y) + (g2^5*t^7.948)/(g1*y) + (g2^8*t^7.959)/(g1^4*y) - (g1^2*t^8.271)/(g2^22*y) - t^8.304/(g1^7*g2^13*y) - t^8.337/(g1^16*g2^4*y) + (g1^12*t^8.956)/(g2^12*y) + (g1^9*t^8.967)/(g2^9*y) + (2*g1^6*t^8.978)/(g2^6*y) + (3*g1^3*t^8.989)/(g2^3*y) - (t^4.063*y)/(g1^2*g2^2) - (t^6.167*y)/g2^12 - (t^6.2*y)/(g1^9*g2^3) + (t^7.241*y)/(g1^5*g2^11) + (g1^8*t^7.915*y)/g2^4 + (g1^5*t^7.926*y)/g2 + (g2^5*t^7.948*y)/g1 + (g2^8*t^7.959*y)/g1^4 - (g1^2*t^8.271*y)/g2^22 - (t^8.304*y)/(g1^7*g2^13) - (t^8.337*y)/(g1^16*g2^4) + (g1^12*t^8.956*y)/g2^12 + (g1^9*t^8.967*y)/g2^9 + (2*g1^6*t^8.978*y)/g2^6 + (3*g1^3*t^8.989*y)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
234 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.581 | 0.711 | 0.8172 | [M:[1.2101, 0.6849, 1.0], q:[0.8025, 0.8025], qb:[0.5126, 0.3025], phi:[0.395]] | t^2.055 + t^2.445 + t^3. + 2*t^3.315 + 2*t^3.63 + t^3.945 + t^4.109 + t^4.26 + t^4.5 + t^4.815 + t^4.891 + t^5.055 + t^5.37 + t^5.445 + 2*t^5.76 - t^6. - t^4.185/y - t^4.185*y | detail | |
235 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6484 | 0.7955 | 0.8151 | [M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]] | t^2.094 + t^2.101 + t^2.123 + t^2.837 + 2*t^3.884 + 2*t^3.891 + t^3.899 + t^4.189 + t^4.196 + t^4.203 + t^4.217 + t^4.224 + t^4.246 + t^4.931 + t^4.939 + t^4.946 + t^4.96 + t^5.674 + 2*t^5.979 + 3*t^5.986 + t^5.993 - 2*t^6. - t^4.054/y - t^4.054*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 |
---|---|---|---|---|---|---|---|---|---|
86 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6077 | 0.7201 | 0.8439 | [M:[1.2833, 0.7104], q:[0.8208, 0.8208], qb:[0.4688, 0.4562], phi:[0.3583]] | t^2.131 + t^2.775 + t^3.812 + 2*t^3.831 + 2*t^3.85 + t^3.869 + t^3.888 + t^4.262 + t^4.906 + t^4.925 + t^5.55 + t^5.943 + t^5.962 - 2*t^6. - t^4.075/y - t^4.075*y | detail |