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 |
---|---|---|---|---|---|---|---|---|---|
3130 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6293 | 0.8168 | 0.7704 | [M:[0.9733, 1.0801, 0.9199, 0.7433, 1.2567, 0.7967, 0.7967], q:[0.7433, 0.2834], qb:[0.4599, 0.4599], phi:[0.5134]] | [M:[[4], [-12], [12], [1], [-1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{4}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | 2*t^2.23 + 2*t^2.39 + t^2.76 + t^2.92 + t^3.08 + t^3.24 + 2*t^3.77 + 3*t^4.3 + 3*t^4.46 + 4*t^4.62 + 3*t^4.78 + 2*t^4.99 + 4*t^5.15 + 4*t^5.31 + 2*t^5.47 + t^5.519 + 2*t^5.631 + t^5.679 + t^5.84 + 4*t^6.16 + t^6.321 + t^6.481 + 4*t^6.53 + 8*t^6.69 + 4*t^6.85 + 6*t^7.01 + 3*t^7.059 + 4*t^7.171 + 3*t^7.22 + 5*t^7.38 + 8*t^7.54 + 6*t^7.7 + 2*t^7.749 + 3*t^7.861 + 2*t^7.909 + 3*t^8.021 + 4*t^8.07 - 2*t^8.23 + t^8.279 - 2*t^8.39 + t^8.439 + 6*t^8.55 + 6*t^8.599 + 2*t^8.711 + t^8.76 + 2*t^8.871 + 4*t^8.92 - t^4.54/y - (2*t^6.93)/y + t^7.46/y + (4*t^7.62)/y + t^7.78/y + (2*t^7.99)/y + (6*t^8.15)/y + (4*t^8.31)/y + (4*t^8.47)/y + (2*t^8.631)/y + t^8.679/y + t^8.84/y - t^4.54*y - 2*t^6.93*y + t^7.46*y + 4*t^7.62*y + t^7.78*y + 2*t^7.99*y + 6*t^8.15*y + 4*t^8.31*y + 4*t^8.47*y + 2*t^8.631*y + t^8.679*y + t^8.84*y | 2*g1*t^2.23 + (2*t^2.39)/g1^7 + g1^12*t^2.76 + g1^4*t^2.92 + t^3.08/g1^4 + t^3.24/g1^12 + (2*t^3.77)/g1 + 3*g1^10*t^4.3 + 3*g1^2*t^4.46 + (4*t^4.62)/g1^6 + (3*t^4.78)/g1^14 + 2*g1^13*t^4.99 + 4*g1^5*t^5.15 + (4*t^5.31)/g1^3 + (2*t^5.47)/g1^11 + g1^24*t^5.519 + (2*t^5.631)/g1^19 + g1^16*t^5.679 + g1^8*t^5.84 + (4*t^6.16)/g1^8 + t^6.321/g1^16 + t^6.481/g1^24 + 4*g1^11*t^6.53 + 8*g1^3*t^6.69 + (4*t^6.85)/g1^5 + (6*t^7.01)/g1^13 + 3*g1^22*t^7.059 + (4*t^7.171)/g1^21 + 3*g1^14*t^7.22 + 5*g1^6*t^7.38 + (8*t^7.54)/g1^2 + (6*t^7.7)/g1^10 + 2*g1^25*t^7.749 + (3*t^7.861)/g1^18 + 2*g1^17*t^7.909 + (3*t^8.021)/g1^26 + 4*g1^9*t^8.07 - 2*g1*t^8.23 + g1^36*t^8.279 - (2*t^8.39)/g1^7 + g1^28*t^8.439 + (6*t^8.55)/g1^15 + 6*g1^20*t^8.599 + (2*t^8.711)/g1^23 + g1^12*t^8.76 + (2*t^8.871)/g1^31 + 4*g1^4*t^8.92 - t^4.54/(g1^2*y) - (2*t^6.93)/(g1^9*y) + (g1^2*t^7.46)/y + (4*t^7.62)/(g1^6*y) + t^7.78/(g1^14*y) + (2*g1^13*t^7.99)/y + (6*g1^5*t^8.15)/y + (4*t^8.31)/(g1^3*y) + (4*t^8.47)/(g1^11*y) + (2*t^8.631)/(g1^19*y) + (g1^16*t^8.679)/y + (g1^8*t^8.84)/y - (t^4.54*y)/g1^2 - (2*t^6.93*y)/g1^9 + g1^2*t^7.46*y + (4*t^7.62*y)/g1^6 + (t^7.78*y)/g1^14 + 2*g1^13*t^7.99*y + 6*g1^5*t^8.15*y + (4*t^8.31*y)/g1^3 + (4*t^8.47*y)/g1^11 + (2*t^8.631*y)/g1^19 + g1^16*t^8.679*y + g1^8*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
4987 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6388 | 0.8344 | 0.7656 | [M:[0.9571, 1.1287, 0.8713, 0.7393, 1.2607, 0.8251, 0.8251, 0.8713], q:[0.7393, 0.3036], qb:[0.4357, 0.4357], phi:[0.5214]] | 2*t^2.218 + 2*t^2.475 + 2*t^2.614 + t^2.871 + t^3.129 + 2*t^3.782 + 3*t^4.178 + 3*t^4.436 + 4*t^4.693 + 4*t^4.832 + 3*t^4.95 + 6*t^5.089 + 3*t^5.228 + 4*t^5.347 + 2*t^5.485 + 2*t^5.743 - t^6. - t^4.564/y - t^4.564*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 |
---|---|---|---|---|---|---|---|---|---|
2061 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 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 |