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 |
---|---|---|---|---|---|---|---|---|---|
556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6052 | 0.7938 | 0.7624 | [M:[0.9204, 1.2388, 0.7612, 0.7612], q:[0.7301, 0.3495], qb:[0.3495, 0.4117], phi:[0.5398]] | [M:[[4], [-12], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | t^2.097 + 3*t^2.284 + t^2.761 + 2*t^3.239 + t^3.425 + 2*t^3.716 + 2*t^3.903 + t^4.09 + t^4.194 + 3*t^4.381 + 6*t^4.567 + t^4.858 + 3*t^5.045 + 2*t^5.336 + 7*t^5.522 + 3*t^5.709 + 3*t^6. + 5*t^6.187 + t^6.291 + 3*t^6.373 + 3*t^6.478 + 7*t^6.664 + 11*t^6.851 + 2*t^6.955 + 3*t^7.142 + 8*t^7.328 + 2*t^7.433 + t^7.515 + 3*t^7.619 + 14*t^7.806 + 8*t^7.993 - 3*t^8.097 + t^8.179 + 2*t^8.284 + t^8.388 + 9*t^8.47 + t^8.575 + 6*t^8.657 + 2*t^8.761 + 12*t^8.948 - t^4.619/y - t^6.903/y + (3*t^7.381)/y + (3*t^7.567)/y + t^7.858/y + (3*t^8.045)/y + (3*t^8.336)/y + (7*t^8.522)/y + (3*t^8.709)/y + (2*t^8.813)/y - t^4.619*y - t^6.903*y + 3*t^7.381*y + 3*t^7.567*y + t^7.858*y + 3*t^8.045*y + 3*t^8.336*y + 7*t^8.522*y + 3*t^8.709*y + 2*t^8.813*y | t^2.097/g1^10 + 3*g1^12*t^2.284 + g1^4*t^2.761 + (2*t^3.239)/g1^4 + g1^18*t^3.425 + (2*t^3.716)/g1^12 + 2*g1^10*t^3.903 + g1^32*t^4.09 + t^4.194/g1^20 + 3*g1^2*t^4.381 + 6*g1^24*t^4.567 + t^4.858/g1^6 + 3*g1^16*t^5.045 + (2*t^5.336)/g1^14 + 7*g1^8*t^5.522 + 3*g1^30*t^5.709 + 3*t^6. + 5*g1^22*t^6.187 + t^6.291/g1^30 + 3*g1^44*t^6.373 + (3*t^6.478)/g1^8 + 7*g1^14*t^6.664 + 11*g1^36*t^6.851 + (2*t^6.955)/g1^16 + 3*g1^6*t^7.142 + 8*g1^28*t^7.328 + (2*t^7.433)/g1^24 + g1^50*t^7.515 + (3*t^7.619)/g1^2 + 14*g1^20*t^7.806 + 8*g1^42*t^7.993 - (3*t^8.097)/g1^10 + g1^64*t^8.179 + 2*g1^12*t^8.284 + t^8.388/g1^40 + 9*g1^34*t^8.47 + t^8.575/g1^18 + 6*g1^56*t^8.657 + 2*g1^4*t^8.761 + 12*g1^26*t^8.948 - t^4.619/(g1^2*y) - (g1^10*t^6.903)/y + (3*g1^2*t^7.381)/y + (3*g1^24*t^7.567)/y + t^7.858/(g1^6*y) + (3*g1^16*t^8.045)/y + (3*t^8.336)/(g1^14*y) + (7*g1^8*t^8.522)/y + (3*g1^30*t^8.709)/y + (2*t^8.813)/(g1^22*y) - (t^4.619*y)/g1^2 - g1^10*t^6.903*y + 3*g1^2*t^7.381*y + 3*g1^24*t^7.567*y + (t^7.858*y)/g1^6 + 3*g1^16*t^8.045*y + (3*t^8.336*y)/g1^14 + 7*g1^8*t^8.522*y + 3*g1^30*t^8.709*y + (2*t^8.813*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
871 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6257 | 0.8329 | 0.7513 | [M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | 2*t^2.091 + 3*t^2.291 + t^2.764 + 2*t^3.236 + t^3.437 + 2*t^3.709 + t^3.909 + t^4.11 + 3*t^4.181 + 6*t^4.382 + 6*t^4.583 + 2*t^4.854 + 3*t^5.055 + 4*t^5.327 + 8*t^5.528 + 3*t^5.728 + 2*t^5.799 + 3*t^6. - t^4.618/y - t^4.618*y | detail | |
1900 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6188 | 0.8154 | 0.7589 | [M:[0.9271, 1.2187, 0.7813, 0.7813, 0.828], q:[0.7318, 0.3411], qb:[0.3411, 0.4402], phi:[0.5364]] | t^2.047 + 3*t^2.344 + t^2.484 + t^2.781 + 2*t^3.219 + 2*t^3.656 + 2*t^3.953 + t^4.093 + t^4.251 + 3*t^4.391 + t^4.531 + 6*t^4.688 + 4*t^4.828 + t^4.968 + 3*t^5.125 + 3*t^5.265 + 6*t^5.563 + 2*t^5.703 + 3*t^6. - t^4.609/y - t^4.609*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 |
---|---|---|---|---|---|---|---|---|---|
351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y | detail |