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 |
---|---|---|---|---|---|---|---|---|---|
4787 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6775 | 0.8458 | 0.801 | [M:[0.9307, 0.8119, 0.9307, 0.8119, 1.1881, 0.7525, 1.2475, 0.8119], q:[0.6634, 0.4059], qb:[0.4059, 0.7822], phi:[0.4356]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [-8], [-2]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 | {a: 27645/40804, c: 34513/40804, M1: 94/101, M2: 82/101, M3: 94/101, M4: 82/101, M5: 120/101, M6: 76/101, M7: 126/101, M8: 82/101, q1: 67/101, q2: 41/101, qb1: 41/101, qb2: 79/101, phi1: 44/101} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}$ | -5 | 3*t^2.436 + t^2.614 + 2*t^2.792 + 3*t^3.743 + t^4.337 + 2*t^4.515 + 6*t^4.871 + 3*t^5.05 + 5*t^5.228 + t^5.287 + 2*t^5.406 + 3*t^5.584 - 5*t^6. + 7*t^6.178 + 2*t^6.356 + 4*t^6.535 + 4*t^6.95 - t^7.129 + 8*t^7.307 + 11*t^7.485 + 9*t^7.663 + 2*t^7.723 + 5*t^7.842 - t^7.901 + 8*t^8.02 - t^8.079 + 3*t^8.198 + 2*t^8.257 + 4*t^8.376 - 15*t^8.436 + 7*t^8.614 - 3*t^8.792 + 7*t^8.97 - t^4.307/y - (2*t^6.743)/y - t^6.921/y - (2*t^7.099)/y + (2*t^7.515)/y + t^7.693/y + (5*t^7.871)/y + (3*t^8.05)/y + (6*t^8.228)/y + (2*t^8.406)/y + t^8.584/y - t^4.307*y - 2*t^6.743*y - t^6.921*y - 2*t^7.099*y + 2*t^7.515*y + t^7.693*y + 5*t^7.871*y + 3*t^8.05*y + 6*t^8.228*y + 2*t^8.406*y + t^8.584*y | (3*t^2.436)/g1^2 + t^2.614/g1^12 + (2*t^2.792)/g1^22 + (3*t^3.743)/g1^8 + g1^26*t^4.337 + 2*g1^16*t^4.515 + (6*t^4.871)/g1^4 + (3*t^5.05)/g1^14 + (5*t^5.228)/g1^24 + g1^40*t^5.287 + (2*t^5.406)/g1^34 + (3*t^5.584)/g1^44 - 5*t^6. + (7*t^6.178)/g1^10 + (2*t^6.356)/g1^20 + (4*t^6.535)/g1^30 + 4*g1^14*t^6.95 - g1^4*t^7.129 + (8*t^7.307)/g1^6 + (11*t^7.485)/g1^16 + (9*t^7.663)/g1^26 + 2*g1^38*t^7.723 + (5*t^7.842)/g1^36 - g1^28*t^7.901 + (8*t^8.02)/g1^46 - g1^18*t^8.079 + (3*t^8.198)/g1^56 + 2*g1^8*t^8.257 + (4*t^8.376)/g1^66 - (15*t^8.436)/g1^2 + (7*t^8.614)/g1^12 - (3*t^8.792)/g1^22 + (7*t^8.97)/g1^32 - t^4.307/(g1^6*y) - (2*t^6.743)/(g1^8*y) - t^6.921/(g1^18*y) - (2*t^7.099)/(g1^28*y) + (2*g1^16*t^7.515)/y + (g1^6*t^7.693)/y + (5*t^7.871)/(g1^4*y) + (3*t^8.05)/(g1^14*y) + (6*t^8.228)/(g1^24*y) + (2*t^8.406)/(g1^34*y) + t^8.584/(g1^44*y) - (t^4.307*y)/g1^6 - (2*t^6.743*y)/g1^8 - (t^6.921*y)/g1^18 - (2*t^7.099*y)/g1^28 + 2*g1^16*t^7.515*y + g1^6*t^7.693*y + (5*t^7.871*y)/g1^4 + (3*t^8.05*y)/g1^14 + (6*t^8.228*y)/g1^24 + (2*t^8.406*y)/g1^34 + (t^8.584*y)/g1^44 |
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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2641 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ | 0.6618 | 0.8182 | 0.8088 | [M:[0.9341, 0.8122, 0.9341, 0.8122, 1.1878, 0.7512, 1.2488], q:[0.6598, 0.4061], qb:[0.4061, 0.7817], phi:[0.4366]] | 2*t^2.437 + t^2.619 + 2*t^2.802 + t^3.563 + 3*t^3.746 + t^4.325 + 2*t^4.507 + 3*t^4.873 + 2*t^5.056 + 3*t^5.239 + t^5.269 + 2*t^5.422 + 3*t^5.604 - 3*t^6. - t^4.31/y - t^4.31*y | detail |