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 |
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874 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5976 | 0.7632 | 0.783 | [M:[0.9572, 1.1283, 0.8717, 0.7393, 1.2607], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | [M:[[4], [-12], [12], [1], [-1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | 2*t^2.218 + t^2.615 + t^2.872 + t^3.128 + t^3.385 + 2*t^3.525 + 2*t^3.782 + 3*t^4.179 + 3*t^4.436 + 2*t^4.833 + 2*t^5.09 + t^5.23 + 2*t^5.346 + t^5.487 + 5*t^5.743 + 2*t^6.141 + 6*t^6.397 + t^6.513 + 4*t^6.654 + t^6.77 + 3*t^6.794 + 6*t^7.051 + 5*t^7.308 + 2*t^7.448 + t^7.564 + 6*t^7.705 - t^7.821 + t^7.845 + 8*t^7.961 + t^8.102 - 4*t^8.218 + 10*t^8.358 - 2*t^8.475 + 5*t^8.615 + 2*t^8.756 - t^4.564/y + t^7.436/y + (2*t^7.833)/y + (2*t^8.09)/y + (2*t^8.346)/y + t^8.487/y + (2*t^8.603)/y + (5*t^8.743)/y - t^4.564*y + t^7.436*y + 2*t^7.833*y + 2*t^8.09*y + 2*t^8.346*y + t^8.487*y + 2*t^8.603*y + 5*t^8.743*y | 2*g1*t^2.218 + g1^12*t^2.615 + g1^4*t^2.872 + t^3.128/g1^4 + t^3.385/g1^12 + 2*g1^7*t^3.525 + (2*t^3.782)/g1 + 3*g1^10*t^4.179 + 3*g1^2*t^4.436 + 2*g1^13*t^4.833 + 2*g1^5*t^5.09 + g1^24*t^5.23 + (2*t^5.346)/g1^3 + g1^16*t^5.487 + 5*g1^8*t^5.743 + 2*g1^19*t^6.141 + 6*g1^11*t^6.397 + t^6.513/g1^16 + 4*g1^3*t^6.654 + t^6.77/g1^24 + 3*g1^22*t^6.794 + 6*g1^14*t^7.051 + 5*g1^6*t^7.308 + 2*g1^25*t^7.448 + t^7.564/g1^2 + 6*g1^17*t^7.705 - t^7.821/g1^10 + g1^36*t^7.845 + 8*g1^9*t^7.961 + g1^28*t^8.102 - 4*g1*t^8.218 + 10*g1^20*t^8.358 - (2*t^8.475)/g1^7 + 5*g1^12*t^8.615 + 2*g1^31*t^8.756 - t^4.564/(g1^2*y) + (g1^2*t^7.436)/y + (2*g1^13*t^7.833)/y + (2*g1^5*t^8.09)/y + (2*t^8.346)/(g1^3*y) + (g1^16*t^8.487)/y + (2*t^8.603)/(g1^11*y) + (5*g1^8*t^8.743)/y - (t^4.564*y)/g1^2 + g1^2*t^7.436*y + 2*g1^13*t^7.833*y + 2*g1^5*t^8.09*y + (2*t^8.346*y)/g1^3 + g1^16*t^8.487*y + (2*t^8.603*y)/g1^11 + 5*g1^8*t^8.743*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 |
---|---|---|---|---|---|---|---|---|
1367 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.5096 | 0.649 | 0.7852 | [M:[1.0769, 0.7692, 1.2308, 0.7692, 1.2308], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 3*t^2.308 + t^2.769 + t^3.231 + 3*t^3.692 + 2*t^4.154 + 4*t^4.615 + 6*t^5.077 + 2*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 17913/35152, c: 11407/17576, M1: 14/13, M2: 10/13, M3: 16/13, M4: 10/13, M5: 16/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
2061 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.613 | 0.7886 | 0.7773 | [M:[0.9658, 1.1026, 0.8974, 0.7415, 1.2585, 0.8098], q:[0.7415, 0.2927], qb:[0.4487, 0.4487], phi:[0.5171]] | 2*t^2.224 + t^2.429 + t^2.692 + t^2.897 + t^3.103 + t^3.308 + t^3.571 + 2*t^3.776 + 3*t^4.244 + 3*t^4.449 + 2*t^4.654 + t^4.859 + 2*t^4.917 + 3*t^5.122 + 3*t^5.327 + t^5.385 + t^5.532 + t^5.59 + t^5.737 + 3*t^5.795 + t^6. - t^4.551/y - t^4.551*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 |
---|---|---|---|---|---|---|---|---|---|
557 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.617 | 0.7991 | 0.7722 | [M:[0.9565, 1.1304, 0.8696, 0.7391], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]] | 3*t^2.217 + t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.522 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 3*t^4.826 + 3*t^5.087 + t^5.218 + 3*t^5.348 + t^5.478 + t^5.609 + 7*t^5.739 - t^6. - t^4.565/y - t^4.565*y | detail |