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 |
---|---|---|---|---|---|---|---|---|---|
57350 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.4268 | 1.6899 | 0.8443 | [M:[0.7907], q:[0.4094, 0.3907], qb:[0.4, 0.4], phi:[0.4]] | [M:[[1, 1]], q:[[-1, -2], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 4 | 3*t^2.372 + t^2.4 + 2*t^2.428 + 2*t^3.572 + t^3.6 + t^3.628 + 6*t^4.744 + 6*t^4.772 + 9*t^4.8 + 5*t^4.828 + 3*t^4.856 + 5*t^5.944 + 6*t^5.972 + 4*t^6. + 4*t^6.028 + t^6.056 + 11*t^7.116 + 17*t^7.144 + 24*t^7.172 + 23*t^7.2 + 17*t^7.228 + 9*t^7.256 + 5*t^7.284 + 9*t^8.316 + 17*t^8.344 + 9*t^8.372 + 13*t^8.4 + 2*t^8.428 + 6*t^8.456 + t^8.484 - t^4.2/y - t^5.4/y - (3*t^6.572)/y - t^6.6/y - (2*t^6.628)/y + (3*t^7.744)/y + (5*t^7.8)/y + t^7.828/y + t^7.856/y - t^4.2*y - t^5.4*y - 3*t^6.572*y - t^6.6*y - 2*t^6.628*y + 3*t^7.744*y + 5*t^7.8*y + t^7.828*y + t^7.856*y | 3*g1*g2*t^2.372 + t^2.4 + (2*t^2.428)/(g1*g2) + 2*g1*g2*t^3.572 + t^3.6 + t^3.628/(g1*g2) + 6*g1^2*g2^2*t^4.744 + (g1*t^4.772)/g2^2 + 5*g1*g2*t^4.772 + 7*t^4.8 + 2*g2^3*t^4.8 + t^4.828/(g1*g2^4) + (4*t^4.828)/(g1*g2) + (3*t^4.856)/(g1^2*g2^2) + 5*g1^2*g2^2*t^5.944 + (g1*t^5.972)/g2^2 + 5*g1*g2*t^5.972 + 2*t^6. + 2*g2^3*t^6. + t^6.028/(g1*g2^4) + (3*t^6.028)/(g1*g2) + t^6.056/(g1^2*g2^2) + g1^3*t^7.116 + 10*g1^3*g2^3*t^7.116 + (3*g1^2*t^7.144)/g2 + 14*g1^2*g2^2*t^7.144 + (2*g1*t^7.172)/g2^2 + 17*g1*g2*t^7.172 + 5*g1*g2^4*t^7.172 + 14*t^7.2 + (3*t^7.2)/g2^3 + 6*g2^3*t^7.2 + (2*t^7.228)/(g1*g2^4) + (12*t^7.228)/(g1*g2) + (3*g2^2*t^7.228)/g1 + (2*t^7.256)/(g1^2*g2^5) + (7*t^7.256)/(g1^2*g2^2) + t^7.284/(g1^3*g2^6) + (4*t^7.284)/(g1^3*g2^3) + 9*g1^3*g2^3*t^8.316 + (3*g1^2*t^8.344)/g2 + 14*g1^2*g2^2*t^8.344 + (g1*t^8.372)/g2^2 + 3*g1*g2*t^8.372 + 5*g1*g2^4*t^8.372 + 9*t^8.4 + (2*t^8.4)/g2^3 + 2*g2^3*t^8.4 + t^8.428/(g1*g2^4) + (g2^2*t^8.428)/g1 + t^8.456/(g1^2*g2^5) + (5*t^8.456)/(g1^2*g2^2) + t^8.484/(g1^3*g2^3) - t^4.2/y - t^5.4/y - (3*g1*g2*t^6.572)/y - t^6.6/y - (2*t^6.628)/(g1*g2*y) + (3*g1^2*g2^2*t^7.744)/y + (5*t^7.8)/y + t^7.828/(g1*g2*y) + t^7.856/(g1^2*g2^2*y) - t^4.2*y - t^5.4*y - 3*g1*g2*t^6.572*y - t^6.6*y - (2*t^6.628*y)/(g1*g2) + 3*g1^2*g2^2*t^7.744*y + 5*t^7.8*y + (t^7.828*y)/(g1*g2) + (t^7.856*y)/(g1^2*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
58429 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.4103 | 1.6609 | 0.8491 | [X:[], M:[0.7907, 1.2], q:[0.4094, 0.3907], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.37 + 2*t^2.43 + 2*t^3.57 + 2*t^3.6 + t^3.63 + 6*t^4.74 + 3*t^4.77 + 8*t^4.8 + 3*t^4.83 + 3*t^4.86 + 5*t^5.94 + 7*t^5.97 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
58345 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3359 | 1.5939 | 0.8381 | [X:[], M:[0.8715], q:[0.438, 0.581], qb:[0.2905, 0.2905], phi:[0.4]] | 2*t^2.19 + t^2.4 + 3*t^2.61 + t^3.39 + t^3.6 + 4*t^3.81 + 3*t^4.37 + 4*t^4.59 + 7*t^4.8 + 7*t^5.01 + 6*t^5.23 + 2*t^5.57 + 3*t^5.79 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
58428 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.4267 | 1.6897 | 0.8444 | [X:[], M:[0.7922], q:[0.4103, 0.3948], qb:[0.3974, 0.3974], phi:[0.4]] | 3*t^2.38 + t^2.4 + 2*t^2.42 + 2*t^3.58 + t^3.6 + t^3.62 + 6*t^4.75 + 7*t^4.78 + 8*t^4.8 + 4*t^4.82 + 4*t^4.85 + 5*t^5.95 + 7*t^5.98 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
47890 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.427 | 1.6906 | 0.8441 | [M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] | 2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |