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 |
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4858 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6883 | 0.862 | 0.7985 | [M:[0.99, 0.7789, 0.9372, 0.8317, 1.1683, 1.1156, 0.8317, 0.7789], q:[0.6206, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | [M:[[-18], [2], [-13], [-3], [3], [8], [-3], [2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 | {a: 8227121/11952048, c: 10302961/11952048, M1: 494/499, M2: 1166/1497, M3: 1403/1497, M4: 415/499, M5: 583/499, M6: 1670/1497, M7: 415/499, M8: 1166/1497, q1: 929/1497, q2: 583/1497, qb1: 662/1497, qb2: 1166/1497, phi1: 662/1497} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$ | ${}$ | -3 | 2*t^2.337 + 2*t^2.495 + t^2.812 + t^2.97 + t^3.347 + t^3.822 + t^3.98 + t^4.198 + t^4.357 + t^4.515 + 3*t^4.673 + 4*t^4.832 + 3*t^4.99 + t^5.05 + 2*t^5.148 + 3*t^5.307 + t^5.465 + t^5.623 + 2*t^5.683 + t^5.782 + t^5.842 + t^5.94 - 3*t^6. + t^6.158 + 4*t^6.317 + t^6.475 + t^6.535 + 3*t^6.693 + t^6.792 + 2*t^6.852 + t^6.95 + 4*t^7.01 + 6*t^7.168 + 5*t^7.327 + 2*t^7.387 + 6*t^7.485 + 2*t^7.545 + 5*t^7.643 + 4*t^7.802 - t^7.862 + 4*t^7.96 + 2*t^8.02 + 3*t^8.118 + t^8.178 + 3*t^8.277 - 5*t^8.337 + t^8.397 + 2*t^8.435 - 4*t^8.495 + t^8.593 + 3*t^8.653 + t^8.752 + t^8.812 + t^8.872 + t^8.91 - t^8.97 - t^4.327/y - (2*t^6.663)/y - t^6.822/y - t^7.138/y - t^7.297/y + t^7.357/y + t^7.515/y + t^7.673/y + (5*t^7.832)/y + (3*t^7.99)/y + (2*t^8.148)/y + (4*t^8.307)/y + (2*t^8.465)/y + (2*t^8.683)/y + t^8.782/y + (2*t^8.842)/y - t^4.327*y - 2*t^6.663*y - t^6.822*y - t^7.138*y - t^7.297*y + t^7.357*y + t^7.515*y + t^7.673*y + 5*t^7.832*y + 3*t^7.99*y + 2*t^8.148*y + 4*t^8.307*y + 2*t^8.465*y + 2*t^8.683*y + t^8.782*y + 2*t^8.842*y | 2*g1^2*t^2.337 + (2*t^2.495)/g1^3 + t^2.812/g1^13 + t^2.97/g1^18 + g1^8*t^3.347 + t^3.822/g1^7 + t^3.98/g1^12 + g1^19*t^4.198 + g1^14*t^4.357 + g1^9*t^4.515 + 3*g1^4*t^4.673 + (4*t^4.832)/g1 + (3*t^4.99)/g1^6 + g1^30*t^5.05 + (2*t^5.148)/g1^11 + (3*t^5.307)/g1^16 + t^5.465/g1^21 + t^5.623/g1^26 + 2*g1^10*t^5.683 + t^5.782/g1^31 + g1^5*t^5.842 + t^5.94/g1^36 - 3*t^6. + t^6.158/g1^5 + (4*t^6.317)/g1^10 + t^6.475/g1^15 + g1^21*t^6.535 + 3*g1^16*t^6.693 + t^6.792/g1^25 + 2*g1^11*t^6.852 + t^6.95/g1^30 + 4*g1^6*t^7.01 + 6*g1*t^7.168 + (5*t^7.327)/g1^4 + 2*g1^32*t^7.387 + (6*t^7.485)/g1^9 + 2*g1^27*t^7.545 + (5*t^7.643)/g1^14 + (4*t^7.802)/g1^19 - g1^17*t^7.862 + (4*t^7.96)/g1^24 + 2*g1^12*t^8.02 + (3*t^8.118)/g1^29 + g1^7*t^8.178 + (3*t^8.277)/g1^34 - 5*g1^2*t^8.337 + g1^38*t^8.397 + (2*t^8.435)/g1^39 - (4*t^8.495)/g1^3 + t^8.593/g1^44 + (3*t^8.653)/g1^8 + t^8.752/g1^49 + t^8.812/g1^13 + g1^23*t^8.872 + t^8.91/g1^54 - t^8.97/g1^18 - t^4.327/(g1^4*y) - (2*t^6.663)/(g1^2*y) - t^6.822/(g1^7*y) - t^7.138/(g1^17*y) - t^7.297/(g1^22*y) + (g1^14*t^7.357)/y + (g1^9*t^7.515)/y + (g1^4*t^7.673)/y + (5*t^7.832)/(g1*y) + (3*t^7.99)/(g1^6*y) + (2*t^8.148)/(g1^11*y) + (4*t^8.307)/(g1^16*y) + (2*t^8.465)/(g1^21*y) + (2*g1^10*t^8.683)/y + t^8.782/(g1^31*y) + (2*g1^5*t^8.842)/y - (t^4.327*y)/g1^4 - (2*t^6.663*y)/g1^2 - (t^6.822*y)/g1^7 - (t^7.138*y)/g1^17 - (t^7.297*y)/g1^22 + g1^14*t^7.357*y + g1^9*t^7.515*y + g1^4*t^7.673*y + (5*t^7.832*y)/g1 + (3*t^7.99*y)/g1^6 + (2*t^8.148*y)/g1^11 + (4*t^8.307*y)/g1^16 + (2*t^8.465*y)/g1^21 + 2*g1^10*t^8.683*y + (t^8.782*y)/g1^31 + 2*g1^5*t^8.842*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2659 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6707 | 0.8306 | 0.8075 | [M:[0.9859, 0.7793, 0.9343, 0.831, 1.169, 1.1174, 0.831], q:[0.6244, 0.3897], qb:[0.4413, 0.7793], phi:[0.4413]] | t^2.338 + 2*t^2.493 + t^2.803 + t^2.958 + t^3.352 + t^3.662 + t^3.817 + t^3.972 + t^4.211 + t^4.366 + t^4.521 + t^4.676 + 2*t^4.831 + 3*t^4.986 + t^5.07 + t^5.141 + 2*t^5.296 + t^5.451 + t^5.606 + t^5.69 + t^5.761 + t^5.845 + t^5.915 - 2*t^6. - t^4.324/y - t^4.324*y | detail | {a: 20285/30246, c: 200975/241968, M1: 70/71, M2: 166/213, M3: 199/213, M4: 59/71, M5: 83/71, M6: 238/213, M7: 59/71, q1: 133/213, q2: 83/213, qb1: 94/213, qb2: 166/213, phi1: 94/213} |