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 |
---|---|---|---|---|---|---|---|---|---|
1211 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6654 | 0.8413 | 0.7909 | [M:[1.1857, 0.7667, 0.8143, 0.8143, 0.8381, 0.7428], q:[0.8024, 0.431], qb:[0.3833, 0.8024], phi:[0.3952]] | [M:[[-6], [-14], [6], [6], [16], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.229 + t^2.3 + t^2.371 + 2*t^2.443 + t^2.514 + t^3.557 + t^3.629 + t^3.7 + t^4.457 + t^4.528 + 2*t^4.6 + 3*t^4.671 + 4*t^4.743 + 4*t^4.814 + 4*t^4.886 + 2*t^4.957 + t^5.029 + t^5.786 + t^5.857 + t^5.929 + t^6. + 2*t^6.071 + 2*t^6.143 + t^6.214 + t^6.686 + t^6.757 + 2*t^6.828 + 4*t^6.9 + 5*t^6.971 + 6*t^7.043 + 7*t^7.114 + 6*t^7.186 + 6*t^7.257 + 6*t^7.329 + 4*t^7.4 + 2*t^7.472 + t^7.543 + t^8.014 + t^8.086 + t^8.157 - t^8.3 - t^8.371 - t^8.443 + 2*t^8.586 + 2*t^8.657 + t^8.729 + t^8.914 + t^8.985 - t^4.186/y - t^6.414/y - t^6.486/y - t^6.557/y - t^6.629/y - t^6.7/y + t^7.528/y + t^7.6/y + (4*t^7.671)/y + (4*t^7.743)/y + (4*t^7.814)/y + (3*t^7.886)/y + (3*t^7.957)/y - t^8.643/y - t^8.714/y - t^8.786/y - t^4.186*y - t^6.414*y - t^6.486*y - t^6.557*y - t^6.629*y - t^6.7*y + t^7.528*y + t^7.6*y + 4*t^7.671*y + 4*t^7.743*y + 4*t^7.814*y + 3*t^7.886*y + 3*t^7.957*y - t^8.643*y - t^8.714*y - t^8.786*y | t^2.229/g1^24 + t^2.3/g1^14 + t^2.371/g1^4 + 2*g1^6*t^2.443 + g1^16*t^2.514 + t^3.557/g1^6 + g1^4*t^3.629 + g1^14*t^3.7 + t^4.457/g1^48 + t^4.528/g1^38 + (2*t^4.6)/g1^28 + (3*t^4.671)/g1^18 + (4*t^4.743)/g1^8 + 4*g1^2*t^4.814 + 4*g1^12*t^4.886 + 2*g1^22*t^4.957 + g1^32*t^5.029 + t^5.786/g1^30 + t^5.857/g1^20 + t^5.929/g1^10 + t^6. + 2*g1^10*t^6.071 + 2*g1^20*t^6.143 + g1^30*t^6.214 + t^6.686/g1^72 + t^6.757/g1^62 + (2*t^6.828)/g1^52 + (4*t^6.9)/g1^42 + (5*t^6.971)/g1^32 + (6*t^7.043)/g1^22 + (7*t^7.114)/g1^12 + (6*t^7.186)/g1^2 + 6*g1^8*t^7.257 + 6*g1^18*t^7.329 + 4*g1^28*t^7.4 + 2*g1^38*t^7.472 + g1^48*t^7.543 + t^8.014/g1^54 + t^8.086/g1^44 + t^8.157/g1^34 - t^8.3/g1^14 - t^8.371/g1^4 - g1^6*t^8.443 + 2*g1^26*t^8.586 + 2*g1^36*t^8.657 + g1^46*t^8.729 + t^8.914/g1^96 + t^8.985/g1^86 - t^4.186/(g1^2*y) - t^6.414/(g1^26*y) - t^6.486/(g1^16*y) - t^6.557/(g1^6*y) - (g1^4*t^6.629)/y - (g1^14*t^6.7)/y + t^7.528/(g1^38*y) + t^7.6/(g1^28*y) + (4*t^7.671)/(g1^18*y) + (4*t^7.743)/(g1^8*y) + (4*g1^2*t^7.814)/y + (3*g1^12*t^7.886)/y + (3*g1^22*t^7.957)/y - t^8.643/(g1^50*y) - t^8.714/(g1^40*y) - t^8.786/(g1^30*y) - (t^4.186*y)/g1^2 - (t^6.414*y)/g1^26 - (t^6.486*y)/g1^16 - (t^6.557*y)/g1^6 - g1^4*t^6.629*y - g1^14*t^6.7*y + (t^7.528*y)/g1^38 + (t^7.6*y)/g1^28 + (4*t^7.671*y)/g1^18 + (4*t^7.743*y)/g1^8 + 4*g1^2*t^7.814*y + 3*g1^12*t^7.886*y + 3*g1^22*t^7.957*y - (t^8.643*y)/g1^50 - (t^8.714*y)/g1^40 - (t^8.786*y)/g1^30 |
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 |
---|---|---|---|---|---|---|---|---|
2253 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6811 | 0.8686 | 0.7841 | [M:[1.1884, 0.773, 0.8116, 0.8116, 0.8309, 0.7537, 0.8116], q:[0.8019, 0.4251], qb:[0.3865, 0.8019], phi:[0.3961]] | t^2.261 + t^2.319 + t^2.377 + 3*t^2.435 + t^2.493 + t^3.623 + t^3.681 + t^4.522 + t^4.58 + 2*t^4.638 + 4*t^4.696 + 5*t^4.754 + 5*t^4.812 + 7*t^4.869 + 3*t^4.927 + t^4.985 - t^6. - t^4.188/y - t^4.188*y | detail | |
2248 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6474 | 0.8091 | 0.8001 | [M:[1.1909, 0.7789, 0.8091, 0.8091, 0.8241, 0.7638, 1.2211], q:[0.8015, 0.4196], qb:[0.3894, 0.8015], phi:[0.397]] | t^2.291 + t^2.382 + 2*t^2.427 + t^2.472 + t^3.573 + t^3.618 + 2*t^3.663 + t^4.583 + t^4.673 + 2*t^4.718 + 2*t^4.764 + 3*t^4.809 + 4*t^4.854 + 2*t^4.9 + t^4.945 + t^5.864 + t^5.955 - t^4.191/y - t^4.191*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 |
---|---|---|---|---|---|---|---|---|---|
737 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6467 | 0.8082 | 0.8002 | [M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | t^2.363 + t^2.389 + 2*t^2.416 + t^2.442 + t^3.584 + t^3.611 + t^3.637 + t^3.663 + t^4.726 + t^4.753 + 3*t^4.779 + 4*t^4.805 + 4*t^4.832 + 2*t^4.858 + t^4.884 + t^6. - t^4.195/y - t^4.195*y | detail |