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 |
---|---|---|---|---|---|---|---|---|---|
56098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7056 | 0.8666 | 0.8143 | [M:[1.0553, 0.898, 0.9447, 1.0233, 0.9767, 1.0233, 1.0393, 0.866], q:[0.5117, 0.433], qb:[0.5903, 0.5437], phi:[0.4803]] | [M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [8, -8], [6, 2], [-16, -16]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$ | ${}$ | -3 | t^2.598 + t^2.694 + t^2.834 + 2*t^3.07 + t^3.118 + t^3.166 + t^4.039 + t^4.275 + t^4.371 + 2*t^4.511 + t^4.607 + t^4.703 + t^4.747 + t^4.843 + t^4.983 + t^5.196 + t^5.292 + t^5.388 + t^5.432 + 2*t^5.668 + t^5.716 + t^5.764 + t^5.812 + t^5.904 + t^5.952 - 3*t^6. - t^6.096 + 2*t^6.14 + 2*t^6.188 + t^6.284 - t^6.472 + t^6.637 + t^6.733 + 2*t^6.873 + t^6.969 + t^7.065 + 4*t^7.109 + 2*t^7.205 + t^7.301 + 3*t^7.345 + t^7.397 + t^7.441 + t^7.537 + 4*t^7.581 + t^7.677 + t^7.773 + t^7.794 + 2*t^7.817 + t^7.869 + t^7.89 + t^7.986 + t^8.03 + 2*t^8.053 + t^8.078 + t^8.082 + 2*t^8.266 + 2*t^8.314 + 2*t^8.41 + t^8.458 + t^8.502 + t^8.506 + 3*t^8.55 - 5*t^8.598 + t^8.646 - 4*t^8.694 + 2*t^8.738 + t^8.742 + 4*t^8.786 - t^8.79 - 4*t^8.834 + 3*t^8.882 - 2*t^8.93 + t^8.974 + t^8.978 - t^4.441/y - t^7.039/y - t^7.135/y + t^7.371/y - t^7.511/y + t^7.747/y + t^7.843/y + t^8.292/y + t^8.432/y + t^8.528/y + (2*t^8.668)/y + t^8.716/y + (3*t^8.764)/y + t^8.812/y + t^8.86/y + (2*t^8.904)/y + t^8.952/y - t^4.441*y - t^7.039*y - t^7.135*y + t^7.371*y - t^7.511*y + t^7.747*y + t^7.843*y + t^8.292*y + t^8.432*y + t^8.528*y + 2*t^8.668*y + t^8.716*y + 3*t^8.764*y + t^8.812*y + t^8.86*y + 2*t^8.904*y + t^8.952*y | t^2.598/(g1^16*g2^16) + (g2^4*t^2.694)/g1^20 + t^2.834/(g1^4*g2^12) + (2*g1^8*t^3.07)/g2^8 + g1^6*g2^2*t^3.118 + g1^4*g2^12*t^3.166 + t^4.039/(g1^19*g2^17) + t^4.275/(g1^7*g2^13) + (g2^7*t^4.371)/g1^11 + (2*g1^5*t^4.511)/g2^9 + g1*g2^11*t^4.607 + (g2^31*t^4.703)/g1^3 + (g1^17*t^4.747)/g2^5 + g1^13*g2^15*t^4.843 + (g1^29*t^4.983)/g2 + t^5.196/(g1^32*g2^32) + t^5.292/(g1^36*g2^12) + (g2^8*t^5.388)/g1^40 + t^5.432/(g1^20*g2^28) + (2*t^5.668)/(g1^8*g2^24) + t^5.716/(g1^10*g2^14) + t^5.764/(g1^12*g2^4) + (g2^6*t^5.812)/g1^14 + (g1^4*t^5.904)/g2^20 + (g1^2*t^5.952)/g2^10 - 3*t^6. - (g2^20*t^6.096)/g1^4 + (2*g1^16*t^6.14)/g2^16 + (2*g1^14*t^6.188)/g2^6 + g1^10*g2^14*t^6.284 - g1^24*g2^8*t^6.472 + t^6.637/(g1^35*g2^33) + t^6.733/(g1^39*g2^13) + (2*t^6.873)/(g1^23*g2^29) + t^6.969/(g1^27*g2^9) + (g2^11*t^7.065)/g1^31 + (4*t^7.109)/(g1^11*g2^25) + (2*t^7.205)/(g1^15*g2^5) + (g2^15*t^7.301)/g1^19 + (3*g1*t^7.345)/g2^21 + (g2^35*t^7.397)/g1^23 + t^7.441/(g1^3*g2) + (g2^19*t^7.537)/g1^7 + (4*g1^13*t^7.581)/g2^17 + g1^9*g2^3*t^7.677 + g1^5*g2^23*t^7.773 + t^7.794/(g1^48*g2^48) + (2*g1^25*t^7.817)/g2^13 + g1*g2^43*t^7.869 + t^7.89/(g1^52*g2^28) + t^7.986/(g1^56*g2^8) + t^8.03/(g1^36*g2^44) + (2*g1^37*t^8.053)/g2^9 + t^8.078/(g1^38*g2^34) + (g2^12*t^8.082)/g1^60 + (2*t^8.266)/(g1^24*g2^40) + (2*t^8.314)/(g1^26*g2^30) + (2*t^8.41)/(g1^30*g2^10) + t^8.458/g1^32 + t^8.502/(g1^12*g2^36) + (g2^10*t^8.506)/g1^34 + (3*t^8.55)/(g1^14*g2^26) - (5*t^8.598)/(g1^16*g2^16) + t^8.646/(g1^18*g2^6) - (4*g2^4*t^8.694)/g1^20 + (2*t^8.738)/g2^32 + (g2^14*t^8.742)/g1^22 + (4*t^8.786)/(g1^2*g2^22) - (g2^24*t^8.79)/g1^24 - (4*t^8.834)/(g1^4*g2^12) + (3*t^8.882)/(g1^6*g2^2) - (2*g2^8*t^8.93)/g1^8 + (g1^12*t^8.974)/g2^28 + (g2^18*t^8.978)/g1^10 - t^4.441/(g1^3*g2*y) - t^7.039/(g1^19*g2^17*y) - (g2^3*t^7.135)/(g1^23*y) + (g2^7*t^7.371)/(g1^11*y) - (g1^5*t^7.511)/(g2^9*y) + (g1^17*t^7.747)/(g2^5*y) + (g1^13*g2^15*t^7.843)/y + t^8.292/(g1^36*g2^12*y) + t^8.432/(g1^20*g2^28*y) + t^8.528/(g1^24*g2^8*y) + (2*t^8.668)/(g1^8*g2^24*y) + t^8.716/(g1^10*g2^14*y) + (3*t^8.764)/(g1^12*g2^4*y) + (g2^6*t^8.812)/(g1^14*y) + (g2^16*t^8.86)/(g1^16*y) + (2*g1^4*t^8.904)/(g2^20*y) + (g1^2*t^8.952)/(g2^10*y) - (t^4.441*y)/(g1^3*g2) - (t^7.039*y)/(g1^19*g2^17) - (g2^3*t^7.135*y)/g1^23 + (g2^7*t^7.371*y)/g1^11 - (g1^5*t^7.511*y)/g2^9 + (g1^17*t^7.747*y)/g2^5 + g1^13*g2^15*t^7.843*y + (t^8.292*y)/(g1^36*g2^12) + (t^8.432*y)/(g1^20*g2^28) + (t^8.528*y)/(g1^24*g2^8) + (2*t^8.668*y)/(g1^8*g2^24) + (t^8.716*y)/(g1^10*g2^14) + (3*t^8.764*y)/(g1^12*g2^4) + (g2^6*t^8.812*y)/g1^14 + (g2^16*t^8.86*y)/g1^16 + (2*g1^4*t^8.904*y)/g2^20 + (g1^2*t^8.952*y)/g2^10 |
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 |
---|---|---|---|---|---|---|---|---|
58260 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}^{2}$ | 0.6926 | 0.8483 | 0.8165 | [M:[0.9875, 0.9626, 1.0125, 1.0249, 0.9751, 1.0249, 1.0062, 1.0], q:[0.5125, 0.5], qb:[0.5249, 0.4751], phi:[0.4969]] | t^2.888 + t^2.963 + t^3. + t^3.019 + t^3.037 + 2*t^3.075 + t^4.341 + t^4.416 + t^4.453 + 2*t^4.491 + t^4.528 + 2*t^4.565 + t^4.603 + t^4.64 + t^5.776 + t^5.907 + t^5.963 + t^5.981 - 2*t^6. - t^4.491/y - t^4.491*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 |
---|---|---|---|---|---|---|---|---|---|
50868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6961 | 0.8501 | 0.8189 | [M:[1.0244, 0.9267, 0.9756, 1.0244, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5611, 0.5122], phi:[0.4878]] | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. - t^4.463/y - t^4.463*y | detail |