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 |
---|---|---|---|---|---|---|---|---|---|
58386 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.4435 | 1.7195 | 0.8395 | [X:[], M:[0.7838, 0.8], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]] | [X:[], M:[[1, 2], [0, 0]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 5 | 2*t^2.35 + 4*t^2.4 + t^2.45 + t^3.55 + 2*t^3.6 + 3*t^4.7 + 8*t^4.75 + 2*t^4.76 + t^4.79 + 14*t^4.8 + t^4.81 + 2*t^4.84 + 4*t^4.85 + t^4.9 + 2*t^5.9 + 5*t^5.95 + 2*t^5.96 + t^5.99 + 5*t^6. + t^6.01 + t^6.04 + 4*t^7.05 + 15*t^7.1 + 3*t^7.11 + 2*t^7.14 + 25*t^7.15 + 12*t^7.16 + 5*t^7.19 + 36*t^7.2 + 6*t^7.21 + 8*t^7.24 + 12*t^7.25 + 2*t^7.26 + 3*t^7.29 + 4*t^7.3 + t^7.35 + 3*t^8.25 + 10*t^8.3 + 3*t^8.31 + 2*t^8.34 + 8*t^8.35 + 9*t^8.36 + 4*t^8.39 + 3*t^8.4 + 5*t^8.41 + 2*t^8.44 - 4*t^8.45 - t^4.2/y - t^5.4/y - (2*t^6.55)/y - (4*t^6.6)/y - t^6.65/y + t^7.7/y + (4*t^7.75)/y + (2*t^7.76)/y + (5*t^7.8)/y + t^7.84/y + (3*t^7.85)/y - t^8.9/y - (2*t^8.95)/y + t^8.96/y - t^4.2*y - t^5.4*y - 2*t^6.55*y - 4*t^6.6*y - t^6.65*y + t^7.7*y + 4*t^7.75*y + 2*t^7.76*y + 5*t^7.8*y + t^7.84*y + 3*t^7.85*y - t^8.9*y - 2*t^8.95*y + t^8.96*y | 2*g1*g2^2*t^2.35 + 2*t^2.4 + t^2.4/(g1^2*g2) + g1^2*g2*t^2.4 + t^2.45/(g1*g2^2) + g1*g2^2*t^3.55 + t^3.6/(g1^2*g2) + g1^2*g2*t^3.6 + 3*g1^2*g2^4*t^4.7 + (2*g2*t^4.75)/g1 + 6*g1*g2^2*t^4.75 + 2*g1^3*g2^3*t^4.76 + t^4.79/(g1^4*g2^2) + 7*t^4.8 + (3*t^4.8)/(g1^2*g2) + 4*g1^2*g2*t^4.8 + g1^4*g2^2*t^4.81 + (2*t^4.84)/(g1^3*g2^3) + (3*t^4.85)/(g1*g2^2) + (g1*t^4.85)/g2 + t^4.9/(g1^2*g2^4) + 2*g1^2*g2^4*t^5.9 + (2*g2*t^5.95)/g1 + 3*g1*g2^2*t^5.95 + 2*g1^3*g2^3*t^5.96 + t^5.99/(g1^4*g2^2) + (2*t^6.)/(g1^2*g2) + 3*g1^2*g2*t^6. + g1^4*g2^2*t^6.01 + t^6.04/(g1^3*g2^3) + 4*g1^3*g2^6*t^7.05 + 4*g2^3*t^7.1 + 11*g1^2*g2^4*t^7.1 + 3*g1^4*g2^5*t^7.11 + (2*t^7.14)/g1^3 + (8*g2*t^7.15)/g1 + 17*g1*g2^2*t^7.15 + 10*g1^3*g2^3*t^7.16 + 2*g1^5*g2^4*t^7.16 + t^7.19/(g1^6*g2^3) + (4*t^7.19)/(g1^4*g2^2) + 16*t^7.2 + (9*t^7.2)/(g1^2*g2) + 11*g1^2*g2*t^7.2 + 5*g1^4*g2^2*t^7.21 + g1^6*g2^3*t^7.21 + (2*t^7.24)/(g1^5*g2^4) + (6*t^7.24)/(g1^3*g2^3) + (8*t^7.25)/(g1*g2^2) + (4*g1*t^7.25)/g2 + 2*g1^3*t^7.26 + t^7.29/(g1^6*g2^6) + (2*t^7.29)/(g1^4*g2^5) + (3*t^7.3)/(g1^2*g2^4) + t^7.3/g2^3 + t^7.35/(g1^3*g2^6) + 3*g1^3*g2^6*t^8.25 + 3*g2^3*t^8.3 + 7*g1^2*g2^4*t^8.3 + 3*g1^4*g2^5*t^8.31 + (2*t^8.34)/g1^3 + (6*g2*t^8.35)/g1 + 2*g1*g2^2*t^8.35 + 7*g1^3*g2^3*t^8.36 + 2*g1^5*g2^4*t^8.36 + t^8.39/(g1^6*g2^3) + (3*t^8.39)/(g1^4*g2^2) - t^8.4 + (2*t^8.4)/(g1^2*g2) + 2*g1^2*g2*t^8.4 + 4*g1^4*g2^2*t^8.41 + g1^6*g2^3*t^8.41 + t^8.44/(g1^5*g2^4) + t^8.44/(g1^3*g2^3) - (4*t^8.45)/(g1*g2^2) - t^4.2/y - t^5.4/y - (2*g1*g2^2*t^6.55)/y - (2*t^6.6)/y - t^6.6/(g1^2*g2*y) - (g1^2*g2*t^6.6)/y - t^6.65/(g1*g2^2*y) + (g1^2*g2^4*t^7.7)/y + (2*g2*t^7.75)/(g1*y) + (2*g1*g2^2*t^7.75)/y + (2*g1^3*g2^3*t^7.76)/y + (3*t^7.8)/y + t^7.8/(g1^2*g2*y) + (g1^2*g2*t^7.8)/y + t^7.84/(g1^3*g2^3*y) + (2*t^7.85)/(g1*g2^2*y) + (g1*t^7.85)/(g2*y) - (g1^2*g2^4*t^8.9)/y + (g2*t^8.95)/(g1*y) - (3*g1*g2^2*t^8.95)/y + (g1^3*g2^3*t^8.96)/y - t^4.2*y - t^5.4*y - 2*g1*g2^2*t^6.55*y - 2*t^6.6*y - (t^6.6*y)/(g1^2*g2) - g1^2*g2*t^6.6*y - (t^6.65*y)/(g1*g2^2) + g1^2*g2^4*t^7.7*y + (2*g2*t^7.75*y)/g1 + 2*g1*g2^2*t^7.75*y + 2*g1^3*g2^3*t^7.76*y + 3*t^7.8*y + (t^7.8*y)/(g1^2*g2) + g1^2*g2*t^7.8*y + (t^7.84*y)/(g1^3*g2^3) + (2*t^7.85*y)/(g1*g2^2) + (g1*t^7.85*y)/g2 - g1^2*g2^4*t^8.9*y + (g2*t^8.95*y)/g1 - 3*g1*g2^2*t^8.95*y + g1^3*g2^3*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
61037 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ | 1.3409 | 1.5784 | 0.8495 | [X:[1.4], M:[1.0, 0.8], q:[0.2848, 0.4576], qb:[0.3152, 0.5424], phi:[0.4]] | t^2.32 + 2*t^2.4 + t^2.48 + 2*t^3. + t^3.52 + t^3.68 + 3*t^4.2 + t^4.28 + t^4.64 + 4*t^4.72 + 5*t^4.8 + 3*t^4.88 + t^4.96 + t^5.32 + 6*t^5.4 + 2*t^5.48 + t^5.84 + 3*t^5.92 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 47199/35200, c: 55559/35200, X1: 7/5, M1: 1, M2: 4/5, q1: 47/165, q2: 151/330, qb1: 52/165, qb2: 179/330, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
57356 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4435 | 1.7196 | 0.8394 | [M:[0.7823, 0.8], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] | 2*t^2.347 + 4*t^2.4 + t^2.453 + t^3.547 + 2*t^3.6 + 3*t^4.694 + 9*t^4.747 + 2*t^4.773 + 14*t^4.8 + 2*t^4.827 + 5*t^4.853 + t^4.906 + 2*t^5.894 + 6*t^5.947 + 2*t^5.973 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |