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 |
---|---|---|---|---|---|---|---|---|---|
3933 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6166 | 0.8041 | 0.7668 | [M:[0.955, 1.1349, 1.045, 0.8651, 1.1349, 0.7922, 0.6853], q:[0.7388, 0.3062], qb:[0.3961, 0.469], phi:[0.5225]] | [M:[[4], [-12], [-4], [12], [-12], [-26], [28]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.056 + t^2.107 + t^2.326 + t^2.377 + 2*t^3.135 + 3*t^3.405 + t^3.674 + t^3.893 + t^4.112 + 2*t^4.163 + t^4.214 + 2*t^4.382 + 2*t^4.433 + t^4.483 + t^4.651 + t^4.702 + t^4.753 + 2*t^5.191 + 2*t^5.242 + 5*t^5.461 + 4*t^5.511 + 2*t^5.73 + 3*t^5.781 + t^5.949 - 2*t^6. + t^6.051 + t^6.168 + 2*t^6.219 + 2*t^6.27 + t^6.321 + 2*t^6.438 + 2*t^6.489 + 7*t^6.539 + t^6.59 + 2*t^6.707 + t^6.758 + 7*t^6.809 + t^6.86 + t^6.977 + 2*t^7.079 + t^7.13 + t^7.247 + 3*t^7.298 + t^7.349 + 6*t^7.517 + 5*t^7.567 + 4*t^7.618 + 5*t^7.786 + 3*t^7.837 + 4*t^7.888 + t^8.005 - 2*t^8.056 - t^8.107 + 3*t^8.158 + t^8.224 + 3*t^8.275 - t^8.326 - t^8.377 + 2*t^8.427 + 2*t^8.494 + 3*t^8.545 + 6*t^8.595 + 5*t^8.646 + t^8.697 + 3*t^8.763 + t^8.814 + 7*t^8.865 + 8*t^8.916 + t^8.967 - t^4.567/y - t^6.623/y - t^6.944/y + (2*t^7.163)/y + t^7.382/y + (3*t^7.433)/y + t^7.483/y - t^7.972/y + (3*t^8.191)/y + (2*t^8.242)/y + (5*t^8.461)/y + (6*t^8.511)/y - t^8.679/y + (4*t^8.73)/y + (4*t^8.781)/y + t^8.949/y - t^4.567*y - t^6.623*y - t^6.944*y + 2*t^7.163*y + t^7.382*y + 3*t^7.433*y + t^7.483*y - t^7.972*y + 3*t^8.191*y + 2*t^8.242*y + 5*t^8.461*y + 6*t^8.511*y - t^8.679*y + 4*t^8.73*y + 4*t^8.781*y + t^8.949*y | g1^28*t^2.056 + t^2.107/g1^18 + g1^20*t^2.326 + t^2.377/g1^26 + (2*t^3.135)/g1^4 + (3*t^3.405)/g1^12 + t^3.674/g1^20 + g1^18*t^3.893 + g1^56*t^4.112 + 2*g1^10*t^4.163 + t^4.214/g1^36 + 2*g1^48*t^4.382 + 2*g1^2*t^4.433 + t^4.483/g1^44 + g1^40*t^4.651 + t^4.702/g1^6 + t^4.753/g1^52 + 2*g1^24*t^5.191 + (2*t^5.242)/g1^22 + 5*g1^16*t^5.461 + (4*t^5.511)/g1^30 + 2*g1^8*t^5.73 + (3*t^5.781)/g1^38 + g1^46*t^5.949 - 2*t^6. + t^6.051/g1^46 + g1^84*t^6.168 + 2*g1^38*t^6.219 + (2*t^6.27)/g1^8 + t^6.321/g1^54 + 2*g1^76*t^6.438 + 2*g1^30*t^6.489 + (7*t^6.539)/g1^16 + t^6.59/g1^62 + 2*g1^68*t^6.707 + g1^22*t^6.758 + (7*t^6.809)/g1^24 + t^6.86/g1^70 + g1^60*t^6.977 + (2*t^7.079)/g1^32 + t^7.13/g1^78 + g1^52*t^7.247 + 3*g1^6*t^7.298 + t^7.349/g1^40 + 6*g1^44*t^7.517 + (5*t^7.567)/g1^2 + (4*t^7.618)/g1^48 + 5*g1^36*t^7.786 + (3*t^7.837)/g1^10 + (4*t^7.888)/g1^56 + g1^74*t^8.005 - 2*g1^28*t^8.056 - t^8.107/g1^18 + (3*t^8.158)/g1^64 + g1^112*t^8.224 + 3*g1^66*t^8.275 - g1^20*t^8.326 - t^8.377/g1^26 + (2*t^8.427)/g1^72 + 2*g1^104*t^8.494 + 3*g1^58*t^8.545 + 6*g1^12*t^8.595 + (5*t^8.646)/g1^34 + t^8.697/g1^80 + 3*g1^96*t^8.763 + g1^50*t^8.814 + 7*g1^4*t^8.865 + (8*t^8.916)/g1^42 + t^8.967/g1^88 - t^4.567/(g1^2*y) - (g1^26*t^6.623)/y - t^6.944/(g1^28*y) + (2*g1^10*t^7.163)/y + (g1^48*t^7.382)/y + (3*g1^2*t^7.433)/y + t^7.483/(g1^44*y) - t^7.972/(g1^14*y) + (3*g1^24*t^8.191)/y + (2*t^8.242)/(g1^22*y) + (5*g1^16*t^8.461)/y + (6*t^8.511)/(g1^30*y) - (g1^54*t^8.679)/y + (4*g1^8*t^8.73)/y + (4*t^8.781)/(g1^38*y) + (g1^46*t^8.949)/y - (t^4.567*y)/g1^2 - g1^26*t^6.623*y - (t^6.944*y)/g1^28 + 2*g1^10*t^7.163*y + g1^48*t^7.382*y + 3*g1^2*t^7.433*y + (t^7.483*y)/g1^44 - (t^7.972*y)/g1^14 + 3*g1^24*t^8.191*y + (2*t^8.242*y)/g1^22 + 5*g1^16*t^8.461*y + (6*t^8.511*y)/g1^30 - g1^54*t^8.679*y + 4*g1^8*t^8.73*y + (4*t^8.781*y)/g1^38 + g1^46*t^8.949*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 |
---|---|---|---|---|---|---|---|---|
5494 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6347 | 0.8368 | 0.7585 | [M:[0.9533, 1.1401, 1.0467, 0.8599, 1.1401, 0.8037, 0.673, 0.7664], q:[0.7383, 0.3084], qb:[0.4018, 0.458], phi:[0.5234]] | t^2.019 + t^2.131 + 2*t^2.299 + t^2.411 + 2*t^3.14 + 3*t^3.42 + t^3.869 + t^4.038 + 2*t^4.15 + t^4.261 + 3*t^4.318 + 3*t^4.43 + t^4.542 + 3*t^4.599 + 2*t^4.71 + t^4.822 + 2*t^5.159 + 2*t^5.271 + 7*t^5.439 + 4*t^5.551 + 4*t^5.72 + 2*t^5.831 + t^5.888 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
3663 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5958 | 0.764 | 0.7799 | [M:[0.9557, 1.1329, 1.0443, 0.8671, 1.1329, 0.7879], q:[0.7389, 0.3054], qb:[0.394, 0.4732], phi:[0.5221]] | t^2.098 + t^2.336 + t^2.364 + 2*t^3.133 + 3*t^3.399 + t^3.664 + t^3.902 + t^3.93 + t^4.168 + t^4.196 + t^4.405 + t^4.434 + t^4.462 + t^4.671 + t^4.699 + t^4.728 + 2*t^5.231 + 2*t^5.468 + 4*t^5.497 + t^5.734 + 3*t^5.762 - 2*t^6. - t^4.566/y - t^4.566*y | detail |