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 |
---|---|---|---|---|---|---|---|---|---|
3182 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6731 | 0.854 | 0.7881 | [X:[1.6173], M:[0.7221, 0.8087, 0.3827, 1.1481, 0.8519, 0.6789, 0.8087], q:[0.8736, 0.4043], qb:[0.7438, 0.4476], phi:[0.3827]] | [X:[[4]], M:[[-18], [2], [-4], [-12], [12], [-28], [2]], q:[[17], [1]], qb:[[-13], [11]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | 0 | t^2.037 + t^2.166 + t^2.296 + 2*t^2.426 + t^2.556 + t^3.444 + t^3.704 + t^3.834 + t^4.073 + t^4.203 + 2*t^4.333 + 3*t^4.463 + 4*t^4.592 + 3*t^4.722 + 5*t^4.852 + 2*t^4.982 + t^5.112 + t^5.481 + t^5.611 + t^5.74 + 2*t^5.87 + t^6.11 + t^6.13 + t^6.24 + 2*t^6.26 + 2*t^6.369 + t^6.389 + 4*t^6.499 + 5*t^6.629 + 6*t^6.759 + 9*t^6.888 + 7*t^7.018 + 6*t^7.148 + 6*t^7.278 + 2*t^7.408 + t^7.517 + t^7.537 + t^7.647 + t^7.667 + 2*t^7.777 + 2*t^7.907 + t^8.037 + t^8.146 - t^8.166 + t^8.276 + t^8.296 + 2*t^8.406 - 4*t^8.426 + 4*t^8.536 - t^8.556 + 6*t^8.665 + t^8.686 + 7*t^8.795 + t^8.815 + 12*t^8.925 + t^8.945 - t^4.148/y - t^6.185/y - t^6.314/y - t^6.444/y - (2*t^6.574)/y + t^7.203/y + t^7.333/y + (3*t^7.463)/y + (3*t^7.592)/y + (5*t^7.722)/y + (3*t^7.852)/y + (3*t^7.982)/y + t^8.112/y - t^8.221/y - t^8.351/y - t^8.481/y - (2*t^8.611)/y - t^8.74/y + (2*t^8.87)/y - t^4.148*y - t^6.185*y - t^6.314*y - t^6.444*y - 2*t^6.574*y + t^7.203*y + t^7.333*y + 3*t^7.463*y + 3*t^7.592*y + 5*t^7.722*y + 3*t^7.852*y + 3*t^7.982*y + t^8.112*y - t^8.221*y - t^8.351*y - t^8.481*y - 2*t^8.611*y - t^8.74*y + 2*t^8.87*y | t^2.037/g1^28 + t^2.166/g1^18 + t^2.296/g1^8 + 2*g1^2*t^2.426 + g1^12*t^2.556 + t^3.444/g1^12 + g1^8*t^3.704 + g1^18*t^3.834 + t^4.073/g1^56 + t^4.203/g1^46 + (2*t^4.333)/g1^36 + (3*t^4.463)/g1^26 + (4*t^4.592)/g1^16 + (3*t^4.722)/g1^6 + 5*g1^4*t^4.852 + 2*g1^14*t^4.982 + g1^24*t^5.112 + t^5.481/g1^40 + t^5.611/g1^30 + t^5.74/g1^20 + (2*t^5.87)/g1^10 + t^6.11/g1^84 + g1^10*t^6.13 + t^6.24/g1^74 + 2*g1^20*t^6.26 + (2*t^6.369)/g1^64 + g1^30*t^6.389 + (4*t^6.499)/g1^54 + (5*t^6.629)/g1^44 + (6*t^6.759)/g1^34 + (9*t^6.888)/g1^24 + (7*t^7.018)/g1^14 + (6*t^7.148)/g1^4 + 6*g1^6*t^7.278 + 2*g1^16*t^7.408 + t^7.517/g1^68 + g1^26*t^7.537 + t^7.647/g1^58 + g1^36*t^7.667 + (2*t^7.777)/g1^48 + (2*t^7.907)/g1^38 + t^8.037/g1^28 + t^8.146/g1^112 - t^8.166/g1^18 + t^8.276/g1^102 + t^8.296/g1^8 + (2*t^8.406)/g1^92 - 4*g1^2*t^8.426 + (4*t^8.536)/g1^82 - g1^12*t^8.556 + (6*t^8.665)/g1^72 + g1^22*t^8.686 + (7*t^8.795)/g1^62 + g1^32*t^8.815 + (12*t^8.925)/g1^52 + g1^42*t^8.945 - t^4.148/(g1^4*y) - t^6.185/(g1^32*y) - t^6.314/(g1^22*y) - t^6.444/(g1^12*y) - (2*t^6.574)/(g1^2*y) + t^7.203/(g1^46*y) + t^7.333/(g1^36*y) + (3*t^7.463)/(g1^26*y) + (3*t^7.592)/(g1^16*y) + (5*t^7.722)/(g1^6*y) + (3*g1^4*t^7.852)/y + (3*g1^14*t^7.982)/y + (g1^24*t^8.112)/y - t^8.221/(g1^60*y) - t^8.351/(g1^50*y) - t^8.481/(g1^40*y) - (2*t^8.611)/(g1^30*y) - t^8.74/(g1^20*y) + (2*t^8.87)/(g1^10*y) - (t^4.148*y)/g1^4 - (t^6.185*y)/g1^32 - (t^6.314*y)/g1^22 - (t^6.444*y)/g1^12 - (2*t^6.574*y)/g1^2 + (t^7.203*y)/g1^46 + (t^7.333*y)/g1^36 + (3*t^7.463*y)/g1^26 + (3*t^7.592*y)/g1^16 + (5*t^7.722*y)/g1^6 + 3*g1^4*t^7.852*y + 3*g1^14*t^7.982*y + g1^24*t^8.112*y - (t^8.221*y)/g1^60 - (t^8.351*y)/g1^50 - (t^8.481*y)/g1^40 - (2*t^8.611*y)/g1^30 - (t^8.74*y)/g1^20 + (2*t^8.87*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
5071 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6915 | 0.8877 | 0.779 | [X:[1.6186], M:[0.7162, 0.8093, 0.3814, 1.1442, 0.8558, 0.6697, 0.8093, 0.7628], q:[0.8791, 0.4047], qb:[0.7395, 0.4512], phi:[0.3814]] | t^2.009 + t^2.149 + 2*t^2.288 + 2*t^2.428 + t^2.568 + t^3.432 + t^3.851 + t^4.018 + t^4.158 + 3*t^4.297 + 4*t^4.437 + 6*t^4.577 + 5*t^4.716 + 6*t^4.856 + 2*t^4.995 + t^5.135 + t^5.442 + t^5.581 + t^5.721 + t^5.86 - t^6. - t^4.144/y - t^4.144*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6733 | 0.8548 | 0.7876 | [X:[1.6169], M:[0.7116, 0.8206, 0.3831, 1.1492, 0.8508, 0.6814, 0.7963], q:[0.8781, 0.4103], qb:[0.7389, 0.4405], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*y | detail |