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 |
---|---|---|---|---|---|---|---|---|---|
3987 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}M_{8}$ | 0.6993 | 0.8591 | 0.814 | [M:[1.0171, 1.1478, 0.9829, 0.9829, 0.7216, 0.7216, 1.2784, 0.7216], q:[0.7869, 0.4914], qb:[0.4914, 0.5257], phi:[0.4261]] | [M:[[14], [4], [-14], [-14], [6], [6], [-6], [6]], q:[[1], [-7]], qb:[[-7], [21]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$ | ${}$ | -3 | 2*t^2.165 + 2*t^2.949 + t^3.051 + t^3.443 + t^3.938 + 3*t^4.227 + 5*t^4.33 + t^4.433 + 4*t^5.113 + 2*t^5.216 + 2*t^5.608 + t^5.897 - 3*t^6. + t^6.103 + 6*t^6.392 + 8*t^6.495 + 2*t^6.598 - t^6.784 + t^6.989 + 4*t^7.175 + 7*t^7.278 + 5*t^7.381 + t^7.484 + 3*t^7.773 + t^7.876 - 7*t^8.165 + t^8.268 + t^8.371 + 5*t^8.454 + 11*t^8.557 + 13*t^8.66 + 5*t^8.762 + t^8.846 + t^8.865 - 9*t^8.949 - t^4.278/y - (2*t^6.443)/y - t^7.227/y + (2*t^7.33)/y + (6*t^8.113)/y + (2*t^8.216)/y - t^8.608/y + t^8.897/y - t^4.278*y - 2*t^6.443*y - t^7.227*y + 2*t^7.33*y + 6*t^8.113*y + 2*t^8.216*y - t^8.608*y + t^8.897*y | 2*g1^6*t^2.165 + (2*t^2.949)/g1^14 + g1^14*t^3.051 + g1^4*t^3.443 + g1^22*t^3.938 + (3*t^4.227)/g1^16 + 5*g1^12*t^4.33 + g1^40*t^4.433 + (4*t^5.113)/g1^8 + 2*g1^20*t^5.216 + 2*g1^10*t^5.608 + t^5.897/g1^28 - 3*t^6. + g1^28*t^6.103 + (6*t^6.392)/g1^10 + 8*g1^18*t^6.495 + 2*g1^46*t^6.598 - t^6.784/g1^20 + g1^36*t^6.989 + (4*t^7.175)/g1^30 + (7*t^7.278)/g1^2 + 5*g1^26*t^7.381 + g1^54*t^7.484 + 3*g1^16*t^7.773 + g1^44*t^7.876 - 7*g1^6*t^8.165 + g1^34*t^8.268 + g1^62*t^8.371 + (5*t^8.454)/g1^32 + (11*t^8.557)/g1^4 + 13*g1^24*t^8.66 + 5*g1^52*t^8.762 + t^8.846/g1^42 + g1^80*t^8.865 - (9*t^8.949)/g1^14 - t^4.278/(g1^2*y) - (2*g1^4*t^6.443)/y - t^7.227/(g1^16*y) + (2*g1^12*t^7.33)/y + (6*t^8.113)/(g1^8*y) + (2*g1^20*t^8.216)/y - (g1^10*t^8.608)/y + t^8.897/(g1^28*y) - (t^4.278*y)/g1^2 - 2*g1^4*t^6.443*y - (t^7.227*y)/g1^16 + 2*g1^12*t^7.33*y + (6*t^8.113*y)/g1^8 + 2*g1^20*t^8.216*y - g1^10*t^8.608*y + (t^8.897*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
5519 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}M_{8}$ + ${ }M_{3}M_{9}$ | 0.6986 | 0.8596 | 0.8127 | [M:[0.9976, 1.1422, 1.0024, 1.0024, 0.7133, 0.7133, 1.2867, 0.7133, 0.9976], q:[0.7855, 0.5012], qb:[0.5012, 0.4964], phi:[0.4289]] | 2*t^2.14 + 2*t^2.993 + t^3.007 + t^3.427 + t^3.846 + t^4.265 + 5*t^4.28 + 3*t^4.294 + 4*t^5.133 + 2*t^5.147 + 2*t^5.566 + 3*t^5.986 - 3*t^6. - t^4.287/y - t^4.287*y | detail | |
5520 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7201 | 0.8995 | 0.8005 | [M:[1.0201, 1.1486, 0.9799, 0.9799, 0.7229, 0.7229, 1.2771, 0.7229, 0.6827], q:[0.7871, 0.49], qb:[0.49, 0.5301], phi:[0.4257]] | t^2.048 + 2*t^2.169 + 2*t^2.94 + t^3.06 + t^3.446 + t^4.096 + 5*t^4.217 + 5*t^4.337 + t^4.458 + 2*t^4.988 + 5*t^5.108 + 2*t^5.229 + t^5.494 + 2*t^5.614 + t^5.879 - 3*t^6. - t^4.277/y - t^4.277*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 |
---|---|---|---|---|---|---|---|---|---|
1599 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ | 0.6793 | 0.8216 | 0.8268 | [M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] | t^2.168 + 2*t^2.941 + t^3.059 + t^3.446 + t^3.832 + t^3.95 + 3*t^4.218 + 3*t^4.337 + t^4.455 + 2*t^5.109 + t^5.228 + t^5.614 + t^5.881 - 2*t^6. - t^4.277/y - t^4.277*y | detail |