Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2650	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$	0.6726	0.8389	0.8018	[M:[1.0455, 0.775, 0.9804, 0.8401, 1.1599, 1.0898, 0.7048, 1.0196], q:[0.567, 0.3875], qb:[0.4526, 0.7724], phi:[0.4551]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5], [1, 15]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}q_{2}^{2}$	${}$	-2	t^2.114 + t^2.325 + t^2.52 + t^3.059 + t^3.137 + t^3.269 + t^3.48 + t^3.69 + t^4.018 + t^4.081 + 2*t^4.229 + t^4.424 + t^4.439 + t^4.635 + t^4.65 + t^4.767 + t^4.845 + t^5.041 + t^5.173 + t^5.251 + 2*t^5.384 + t^5.579 + 2*t^5.594 + t^5.79 + t^5.805 - 2*t^6. + t^6.015 + t^6.118 + t^6.133 + t^6.195 + t^6.273 + t^6.328 + 2*t^6.343 + t^6.406 + 2*t^6.539 + 2*t^6.554 + t^6.601 + 3*t^6.749 + t^6.764 + t^6.882 + t^6.959 + t^6.975 - t^7.022 + t^7.077 + t^7.092 + t^7.14 + t^7.17 + t^7.218 + 3*t^7.288 + t^7.38 + t^7.483 + 3*t^7.498 + t^7.561 + t^7.693 + 3*t^7.709 + t^7.826 + t^7.904 + 3*t^7.919 - t^7.982 + t^8.037 + t^8.099 - 2*t^8.114 + t^8.129 + t^8.162 + t^8.232 + 2*t^8.247 + t^8.31 - 3*t^8.325 + t^8.34 + t^8.388 + 2*t^8.442 + 3*t^8.458 + t^8.505 - 2*t^8.52 + t^8.598 + t^8.638 + 2*t^8.653 + 2*t^8.668 + t^8.786 + 2*t^8.848 + 2*t^8.863 + 2*t^8.878 - t^8.941 + 2*t^8.996 - t^4.365/y - t^6.48/y - t^6.69/y + t^7.229/y + t^7.439/y - t^7.502/y + t^7.635/y + t^7.845/y + t^8.041/y + t^8.173/y + (2*t^8.251)/y + (2*t^8.384)/y + t^8.461/y + t^8.579/y + t^8.594/y + t^8.657/y + t^8.79/y + t^8.805/y - t^4.365*y - t^6.48*y - t^6.69*y + t^7.229*y + t^7.439*y - t^7.502*y + t^7.635*y + t^7.845*y + t^8.041*y + t^8.173*y + 2*t^8.251*y + 2*t^8.384*y + t^8.461*y + t^8.579*y + t^8.594*y + t^8.657*y + t^8.79*y + t^8.805*y	(g2^5*t^2.114)/g1 + t^2.325/(g1^2*g2^2) + (g1*t^2.52)/g2 + g1*g2^15*t^3.059 + (g1^2*t^3.137)/g2^14 + g2^8*t^3.269 + (g2*t^3.48)/g1 + t^3.69/(g1^2*g2^6) + (g2^17*t^4.018)/g1 + (g1^4*t^4.081)/g2^4 + (2*g2^10*t^4.229)/g1^2 + g1*g2^11*t^4.424 + (g2^3*t^4.439)/g1^3 + g2^4*t^4.635 + t^4.65/(g1^4*g2^4) + (g2^26*t^4.767)/g1^2 + t^4.845/(g1*g2^3) + (g1^2*t^5.041)/g2^2 + g2^20*t^5.173 + (g1*t^5.251)/g2^9 + (2*g2^13*t^5.384)/g1 + g1^2*g2^14*t^5.579 + (2*g2^6*t^5.594)/g1^2 + g1*g2^7*t^5.79 + t^5.805/(g1^3*g2) - 2*t^6. + t^6.015/(g1^4*g2^8) + g1^2*g2^30*t^6.118 + (g2^22*t^6.133)/g1^2 + g1^3*g2*t^6.195 + (g1^4*t^6.273)/g2^28 + g1*g2^23*t^6.328 + (2*g2^15*t^6.343)/g1^3 + (g1^2*t^6.406)/g2^6 + 2*g2^16*t^6.539 + (2*g2^8*t^6.554)/g1^4 + (g1^5*t^6.601)/g2^5 + (3*g2^9*t^6.749)/g1 + (g2*t^6.764)/g1^5 + (g2^31*t^6.882)/g1^3 + (g2^2*t^6.959)/g1^2 + t^6.975/(g1^6*g2^6) - (g1^3*t^7.022)/g2^19 + g2^32*t^7.077 + (g2^24*t^7.092)/g1^4 + g1^5*g2^11*t^7.14 + t^7.17/(g1^3*g2^5) + (g1^6*t^7.218)/g2^18 + (3*g2^25*t^7.288)/g1 + t^7.38/(g1^4*g2^12) + g1^2*g2^26*t^7.483 + (3*g2^18*t^7.498)/g1^2 + (g1^3*t^7.561)/g2^3 + g1*g2^19*t^7.693 + (3*g2^11*t^7.709)/g1^3 + (g2^41*t^7.826)/g1 + g2^12*t^7.904 + (3*g2^4*t^7.919)/g1^4 - (g1*t^7.982)/g2^17 + (g2^34*t^8.037)/g1^2 + g1^3*g2^13*t^8.099 - (2*g2^5*t^8.114)/g1 + t^8.129/(g1^5*g2^3) + (g1^8*t^8.162)/g2^8 + g1*g2^35*t^8.232 + (2*g2^27*t^8.247)/g1^3 + g1^2*g2^6*t^8.31 - (3*t^8.325)/(g1^2*g2^2) + t^8.34/(g1^6*g2^10) + (g1^3*t^8.388)/g2^23 + 2*g2^28*t^8.442 + (3*g2^20*t^8.458)/g1^4 + g1^5*g2^7*t^8.505 - (2*g1*t^8.52)/g2 + (g1^2*t^8.598)/g2^30 + g1^3*g2^29*t^8.638 + (2*g2^21*t^8.653)/g1 + (2*g2^13*t^8.668)/g1^5 + (g2^43*t^8.786)/g1^3 + 2*g1^2*g2^22*t^8.848 + (2*g2^14*t^8.863)/g1^2 + (2*g2^6*t^8.878)/g1^6 - t^8.941/(g1*g2^15) + (2*g2^36*t^8.996)/g1^4 - t^4.365/(g2^4*y) - (g2*t^6.48)/(g1*y) - t^6.69/(g1^2*g2^6*y) + (g2^10*t^7.229)/(g1^2*y) + (g2^3*t^7.439)/(g1^3*y) - (g1^2*t^7.502)/(g2^18*y) + (g2^4*t^7.635)/y + t^7.845/(g1*g2^3*y) + (g1^2*t^8.041)/(g2^2*y) + (g2^20*t^8.173)/y + (2*g1*t^8.251)/(g2^9*y) + (2*g2^13*t^8.384)/(g1*y) + t^8.461/(g2^16*y) + (g1^2*g2^14*t^8.579)/y + (g2^6*t^8.594)/(g1^2*y) + (g1^3*t^8.657)/(g2^15*y) + (g1*g2^7*t^8.79)/y + t^8.805/(g1^3*g2*y) - (t^4.365*y)/g2^4 - (g2*t^6.48*y)/g1 - (t^6.69*y)/(g1^2*g2^6) + (g2^10*t^7.229*y)/g1^2 + (g2^3*t^7.439*y)/g1^3 - (g1^2*t^7.502*y)/g2^18 + g2^4*t^7.635*y + (t^7.845*y)/(g1*g2^3) + (g1^2*t^8.041*y)/g2^2 + g2^20*t^8.173*y + (2*g1*t^8.251*y)/g2^9 + (2*g2^13*t^8.384*y)/g1 + (t^8.461*y)/g2^16 + g1^2*g2^14*t^8.579*y + (g2^6*t^8.594*y)/g1^2 + (g1^3*t^8.657*y)/g2^15 + g1*g2^7*t^8.79*y + (t^8.805*y)/(g1^3*g2)

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
4825	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}M_{8}$	0.6433	0.7961	0.8081	[M:[0.8894, 0.7106, 0.7553, 0.8447, 1.1553, 1.2, 0.7553, 1.2447], q:[0.7553, 0.3553], qb:[0.4894, 0.8], phi:[0.4]]	t^2.132 + t^2.266 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.6 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 2*t^4.532 + 2*t^4.666 + t^4.8 + 2*t^4.934 + t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*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

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

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
1546	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.6781	0.8467	0.8009	[M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]]	t^2.14 + t^2.221 + t^2.546 + t^2.708 + t^3.033 + t^3.373 + t^3.454 + t^3.535 + t^4.185 + t^4.2 + 2*t^4.281 + t^4.362 + t^4.443 + t^4.605 + t^4.686 + t^4.767 + t^4.848 + t^4.929 + t^5.026 + t^5.092 + t^5.173 + t^5.254 + t^5.416 + t^5.513 + 2*t^5.594 + t^5.675 + t^5.741 + t^5.756 + t^5.919 - 2*t^6. - t^4.314/y - t^4.314*y	detail