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 |
---|---|---|---|---|---|---|---|---|---|
4397 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6725 | 0.8379 | 0.8027 | [M:[0.7722, 1.097, 1.0337, 0.8396, 0.9663, 1.1604, 1.0337, 0.7089], q:[0.7743, 0.4535], qb:[0.3861, 0.5802], phi:[0.4515]] | [M:[[30], [-4], [-22], [-14], [22], [14], [-22], [12]], q:[[-1], [-29]], qb:[[15], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.127 + t^2.317 + t^2.519 + 2*t^3.101 + t^3.291 + t^3.481 + t^3.671 + t^4.063 + t^4.076 + 2*t^4.253 + t^4.443 + t^4.456 + t^4.633 + t^4.646 + 2*t^4.836 + t^5.038 + 2*t^5.228 + 2*t^5.418 + 2*t^5.608 + t^5.62 + t^5.798 + t^5.81 + t^5.988 - 2*t^6. + t^6.19 + 3*t^6.202 + 2*t^6.38 + 2*t^6.392 + 2*t^6.57 + 2*t^6.582 + t^6.594 + t^6.76 + 3*t^6.772 + t^6.95 + 2*t^6.962 - t^6.974 + 2*t^7.152 + t^7.164 + 2*t^7.177 + t^7.342 + 3*t^7.354 + 3*t^7.544 + 2*t^7.557 + 3*t^7.734 + t^7.747 + 3*t^7.924 + t^7.937 + t^8.114 - t^8.127 + t^8.139 + t^8.151 + t^8.304 - t^8.317 + 3*t^8.329 + 3*t^8.507 + t^8.519 + t^8.531 + 2*t^8.697 + 2*t^8.709 + t^8.721 + 2*t^8.887 + 2*t^8.899 + 2*t^8.911 - t^4.354/y - t^6.481/y - t^6.671/y + t^7.253/y + t^7.443/y - t^7.456/y + t^7.646/y + t^7.836/y + t^8.038/y + (3*t^8.228)/y + (3*t^8.418)/y + t^8.608/y + (2*t^8.62)/y + t^8.798/y + t^8.81/y - t^4.354*y - t^6.481*y - t^6.671*y + t^7.253*y + t^7.443*y - t^7.456*y + t^7.646*y + t^7.836*y + t^8.038*y + 3*t^8.228*y + 3*t^8.418*y + t^8.608*y + 2*t^8.62*y + t^8.798*y + t^8.81*y | g1^12*t^2.127 + g1^30*t^2.317 + t^2.519/g1^14 + (2*t^3.101)/g1^22 + t^3.291/g1^4 + g1^14*t^3.481 + g1^32*t^3.671 + g1^6*t^4.063 + t^4.076/g1^56 + 2*g1^24*t^4.253 + g1^42*t^4.443 + t^4.456/g1^20 + g1^60*t^4.633 + t^4.646/g1^2 + 2*g1^16*t^4.836 + t^5.038/g1^28 + (2*t^5.228)/g1^10 + 2*g1^8*t^5.418 + 2*g1^26*t^5.608 + t^5.62/g1^36 + g1^44*t^5.798 + t^5.81/g1^18 + g1^62*t^5.988 - 2*t^6. + g1^18*t^6.19 + (3*t^6.202)/g1^44 + 2*g1^36*t^6.38 + (2*t^6.392)/g1^26 + 2*g1^54*t^6.57 + (2*t^6.582)/g1^8 + t^6.594/g1^70 + g1^72*t^6.76 + 3*g1^10*t^6.772 + g1^90*t^6.95 + 2*g1^28*t^6.962 - t^6.974/g1^34 + 2*g1^46*t^7.152 + t^7.164/g1^16 + (2*t^7.177)/g1^78 + g1^64*t^7.342 + 3*g1^2*t^7.354 + 3*g1^20*t^7.544 + (2*t^7.557)/g1^42 + 3*g1^38*t^7.734 + t^7.747/g1^24 + 3*g1^56*t^7.924 + t^7.937/g1^6 + g1^74*t^8.114 - g1^12*t^8.127 + t^8.139/g1^50 + t^8.151/g1^112 + g1^92*t^8.304 - g1^30*t^8.317 + (3*t^8.329)/g1^32 + 3*g1^48*t^8.507 + t^8.519/g1^14 + t^8.531/g1^76 + 2*g1^66*t^8.697 + 2*g1^4*t^8.709 + t^8.721/g1^58 + 2*g1^84*t^8.887 + 2*g1^22*t^8.899 + (2*t^8.911)/g1^40 - (g1^2*t^4.354)/y - (g1^14*t^6.481)/y - (g1^32*t^6.671)/y + (g1^24*t^7.253)/y + (g1^42*t^7.443)/y - t^7.456/(g1^20*y) + t^7.646/(g1^2*y) + (g1^16*t^7.836)/y + t^8.038/(g1^28*y) + (3*t^8.228)/(g1^10*y) + (3*g1^8*t^8.418)/y + (g1^26*t^8.608)/y + (2*t^8.62)/(g1^36*y) + (g1^44*t^8.798)/y + t^8.81/(g1^18*y) - g1^2*t^4.354*y - g1^14*t^6.481*y - g1^32*t^6.671*y + g1^24*t^7.253*y + g1^42*t^7.443*y - (t^7.456*y)/g1^20 + (t^7.646*y)/g1^2 + g1^16*t^7.836*y + (t^8.038*y)/g1^28 + (3*t^8.228*y)/g1^10 + 3*g1^8*t^8.418*y + g1^26*t^8.608*y + (2*t^8.62*y)/g1^36 + g1^44*t^8.798*y + (t^8.81*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
5895 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6725 | 0.8378 | 0.8027 | [M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 1.0323, 0.7097], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + 2*t^3.097 + t^3.29 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 2*t^4.839 + t^5.032 + 2*t^5.226 + 2*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 160275/238328, c: 49919/59582, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 32/31, M8: 22/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
2381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6522 | 0.7994 | 0.8159 | [M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.327 + t^2.514 + 2*t^3.094 + t^3.29 + t^3.486 + t^3.682 + t^3.869 + t^4.057 + t^4.065 + t^4.261 + t^4.449 + t^4.653 + 2*t^4.841 + t^5.029 + t^5.42 + t^5.608 + t^5.616 + t^5.804 - 2*t^6. - t^4.355/y - t^4.355*y | detail |