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 |
---|---|---|---|---|---|---|---|---|---|
2596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6973 | 0.8566 | 0.8141 | [M:[0.9724, 1.0, 1.0276, 0.9448, 1.0552, 0.9724, 0.9448], q:[0.5276, 0.5], qb:[0.4448, 0.5552], phi:[0.4931]] | [M:[[-4], [0], [4], [-8], [8], [-4], [-8]], q:[[4], [0]], qb:[[-8], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.835 + 2*t^2.917 + t^2.959 + t^3. + t^3.248 + t^4.148 + t^4.314 + t^4.397 + 2*t^4.479 + t^4.562 + 2*t^4.645 + t^4.728 + t^4.81 + 2*t^5.669 + 3*t^5.752 + 2*t^5.793 + 3*t^5.835 + 2*t^5.876 + t^5.917 + t^5.959 - 3*t^6. - t^6.083 + t^6.207 - t^6.331 + t^6.496 + 2*t^6.983 + 2*t^7.066 + t^7.107 + 2*t^7.148 - t^7.19 + 2*t^7.231 + t^7.272 + 4*t^7.314 + 4*t^7.397 + t^7.438 + 3*t^7.479 - t^7.521 + 3*t^7.562 + t^7.603 + 3*t^7.645 - t^7.686 + 2*t^7.728 - t^7.852 + t^7.893 + t^7.976 + t^8.058 + t^8.297 + t^8.462 + 2*t^8.504 + t^8.545 + 2*t^8.586 + 4*t^8.628 + 3*t^8.669 + 4*t^8.71 + 3*t^8.752 + 6*t^8.793 - 4*t^8.835 + 3*t^8.876 - 8*t^8.917 + t^8.959 - t^4.479/y - t^7.314/y - t^7.397/y - t^7.438/y + t^7.521/y + t^7.562/y + t^7.645/y + t^8.669/y + (4*t^8.752)/y + (2*t^8.793)/y + (3*t^8.835)/y + (2*t^8.876)/y + (2*t^8.917)/y + t^8.959/y - t^4.479*y - t^7.314*y - t^7.397*y - t^7.438*y + t^7.521*y + t^7.562*y + t^7.645*y + t^8.669*y + 4*t^8.752*y + 2*t^8.793*y + 3*t^8.835*y + 2*t^8.876*y + 2*t^8.917*y + t^8.959*y | (2*t^2.835)/g1^8 + (2*t^2.917)/g1^4 + t^2.959/g1^2 + t^3. + g1^12*t^3.248 + t^4.148/g1^17 + t^4.314/g1^9 + t^4.397/g1^5 + (2*t^4.479)/g1 + g1^3*t^4.562 + 2*g1^7*t^4.645 + g1^11*t^4.728 + g1^15*t^4.81 + (2*t^5.669)/g1^16 + (3*t^5.752)/g1^12 + (2*t^5.793)/g1^10 + (3*t^5.835)/g1^8 + (2*t^5.876)/g1^6 + t^5.917/g1^4 + t^5.959/g1^2 - 3*t^6. - g1^4*t^6.083 + g1^10*t^6.207 - g1^16*t^6.331 + g1^24*t^6.496 + (2*t^6.983)/g1^25 + (2*t^7.066)/g1^21 + t^7.107/g1^19 + (2*t^7.148)/g1^17 - t^7.19/g1^15 + (2*t^7.231)/g1^13 + t^7.272/g1^11 + (4*t^7.314)/g1^9 + (4*t^7.397)/g1^5 + t^7.438/g1^3 + (3*t^7.479)/g1 - g1*t^7.521 + 3*g1^3*t^7.562 + g1^5*t^7.603 + 3*g1^7*t^7.645 - g1^9*t^7.686 + 2*g1^11*t^7.728 - g1^17*t^7.852 + g1^19*t^7.893 + g1^23*t^7.976 + g1^27*t^8.058 + t^8.297/g1^34 + t^8.462/g1^26 + (2*t^8.504)/g1^24 + t^8.545/g1^22 + (2*t^8.586)/g1^20 + (4*t^8.628)/g1^18 + (3*t^8.669)/g1^16 + (4*t^8.71)/g1^14 + (3*t^8.752)/g1^12 + (6*t^8.793)/g1^10 - (4*t^8.835)/g1^8 + (3*t^8.876)/g1^6 - (8*t^8.917)/g1^4 + t^8.959/g1^2 - t^4.479/(g1*y) - t^7.314/(g1^9*y) - t^7.397/(g1^5*y) - t^7.438/(g1^3*y) + (g1*t^7.521)/y + (g1^3*t^7.562)/y + (g1^7*t^7.645)/y + t^8.669/(g1^16*y) + (4*t^8.752)/(g1^12*y) + (2*t^8.793)/(g1^10*y) + (3*t^8.835)/(g1^8*y) + (2*t^8.876)/(g1^6*y) + (2*t^8.917)/(g1^4*y) + t^8.959/(g1^2*y) - (t^4.479*y)/g1 - (t^7.314*y)/g1^9 - (t^7.397*y)/g1^5 - (t^7.438*y)/g1^3 + g1*t^7.521*y + g1^3*t^7.562*y + g1^7*t^7.645*y + (t^8.669*y)/g1^16 + (4*t^8.752*y)/g1^12 + (2*t^8.793*y)/g1^10 + (3*t^8.835*y)/g1^8 + (2*t^8.876*y)/g1^6 + (2*t^8.917*y)/g1^4 + (t^8.959*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4680 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6073 | 0.7782 | 0.7805 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 0.8667, 0.7333], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | 2*t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 4*t^4.8 + 4*t^5. + 5*t^5.2 + 4*t^5.4 + 4*t^5.6 + 3*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | {a: 911/1500, c: 4669/6000, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 13/15, M7: 11/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
1500 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6933 | 0.8493 | 0.8163 | [M:[0.9843, 1.0, 1.0157, 0.9687, 1.0313, 0.9843], q:[0.5157, 0.5], qb:[0.4687, 0.5313], phi:[0.4961]] | t^2.906 + 2*t^2.953 + t^2.976 + t^3. + t^3.094 + t^3.141 + t^4.3 + t^4.394 + t^4.441 + 2*t^4.488 + t^4.535 + 2*t^4.582 + t^4.629 + t^4.676 + t^5.859 + t^5.882 + 2*t^5.906 + 2*t^5.929 + t^5.953 + t^5.976 - 2*t^6. - t^4.488/y - t^4.488*y | detail |