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
55694	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$	0.7401	0.9227	0.802	[M:[1.0065, 1.0, 0.9935, 0.845, 0.8515, 0.6938, 0.9935], q:[0.4225, 0.571], qb:[0.5775, 0.584], phi:[0.4612]]	[M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [5, 0], [2, -1]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$	${}$	-3	t^2.081 + t^2.535 + t^2.555 + t^2.767 + 2*t^2.98 + t^3. + t^3.485 + t^4.163 + t^4.364 + t^4.384 + t^4.403 + t^4.616 + t^4.636 + t^4.81 + t^4.829 + 3*t^4.849 + t^4.868 + t^4.888 + 2*t^5.062 + t^5.07 + t^5.081 + t^5.09 + t^5.109 + t^5.302 + t^5.322 + t^5.515 + 3*t^5.535 + t^5.566 + 2*t^5.748 + t^5.767 + 2*t^5.961 - 3*t^6. - t^6.02 + t^6.244 + t^6.252 + t^6.465 + t^6.485 + t^6.698 + t^6.717 + t^6.891 + t^6.91 + t^6.919 + 3*t^6.93 + t^6.938 + t^6.95 + t^6.958 + 2*t^6.969 + t^7.132 + 2*t^7.143 + t^7.151 + t^7.163 + 2*t^7.171 + t^7.19 + 2*t^7.345 + 2*t^7.364 + 3*t^7.384 + 2*t^7.403 + t^7.423 + t^7.442 + t^7.577 + t^7.597 + t^7.605 + 4*t^7.616 + t^7.624 + t^7.644 + t^7.647 + t^7.655 + t^7.664 + 2*t^7.79 + 2*t^7.81 + 4*t^7.829 + t^7.837 + 2*t^7.849 + t^7.857 + t^7.868 + t^7.877 + t^7.888 + t^8.042 + t^8.05 - t^8.062 + 2*t^8.07 - 5*t^8.081 + 2*t^8.09 - 2*t^8.101 - t^8.12 + t^8.283 + 3*t^8.302 + t^8.325 + 2*t^8.333 + t^8.353 + t^8.372 + t^8.496 + 2*t^8.515 - 3*t^8.535 + t^8.546 - 4*t^8.555 + t^8.566 - t^8.574 + 2*t^8.728 - 3*t^8.767 + t^8.779 - t^8.787 + t^8.798 + 2*t^8.941 - t^8.961 + t^8.972 - 7*t^8.98 + t^8.992 - t^4.384/y - t^6.465/y - t^6.919/y - t^6.938/y - t^7.151/y - t^7.364/y + t^7.403/y + (2*t^7.616)/y + t^7.636/y + t^7.829/y + (2*t^7.849)/y + (2*t^8.062)/y + t^8.081/y + t^8.09/y + (2*t^8.302)/y + t^8.322/y + (2*t^8.515)/y + (3*t^8.535)/y - t^8.546/y + t^8.555/y + t^8.566/y + (2*t^8.748)/y + t^8.767/y + t^8.961/y + (2*t^8.98)/y - t^4.384*y - t^6.465*y - t^6.919*y - t^6.938*y - t^7.151*y - t^7.364*y + t^7.403*y + 2*t^7.616*y + t^7.636*y + t^7.829*y + 2*t^7.849*y + 2*t^8.062*y + t^8.081*y + t^8.09*y + 2*t^8.302*y + t^8.322*y + 2*t^8.515*y + 3*t^8.535*y - t^8.546*y + t^8.555*y + t^8.566*y + 2*t^8.748*y + t^8.767*y + t^8.961*y + 2*t^8.98*y	g1^5*t^2.081 + t^2.535/g1^4 + (g2*t^2.555)/g1^6 + t^2.767/g1^2 + (2*g1^2*t^2.98)/g2 + t^3. + g1^2*g2*t^3.485 + g1^10*t^4.163 + (g1*t^4.364)/g2 + t^4.384/g1 + (g2*t^4.403)/g1^3 + g1*t^4.616 + (g2*t^4.636)/g1 + (g1^7*t^4.81)/g2^2 + (g1^5*t^4.829)/g2 + 3*g1^3*t^4.849 + g1*g2*t^4.868 + (g2^2*t^4.888)/g1 + (2*g1^7*t^5.062)/g2 + t^5.07/g1^8 + g1^5*t^5.081 + (g2*t^5.09)/g1^10 + (g2^2*t^5.109)/g1^12 + t^5.302/g1^6 + (g2*t^5.322)/g1^8 + t^5.515/(g1^2*g2) + (3*t^5.535)/g1^4 + g1^7*g2*t^5.566 + (2*t^5.748)/g2 + t^5.767/g1^2 + (2*g1^4*t^5.961)/g2^2 - 3*t^6. - (g2*t^6.02)/g1^2 + g1^15*t^6.244 + g2*t^6.252 + g1^4*t^6.465 + g1^2*g2*t^6.485 + g1^6*t^6.698 + g1^4*g2*t^6.717 + (g1^12*t^6.891)/g2^2 + (g1^10*t^6.91)/g2 + t^6.919/g1^5 + 3*g1^8*t^6.93 + (g2*t^6.938)/g1^7 + g1^6*g2*t^6.95 + (g2^2*t^6.958)/g1^9 + 2*g1^4*g2^2*t^6.969 + t^7.132/(g1*g2) + (2*g1^12*t^7.143)/g2 + t^7.151/g1^3 + g1^10*t^7.163 + (2*g2*t^7.171)/g1^5 + (g2^2*t^7.19)/g1^7 + (2*g1^3*t^7.345)/g2^2 + (2*g1*t^7.364)/g2 + (3*t^7.384)/g1 + (2*g2*t^7.403)/g1^3 + (g2^2*t^7.423)/g1^5 + (g2^3*t^7.442)/g1^7 + (g1^5*t^7.577)/g2^2 + (g1^3*t^7.597)/g2 + t^7.605/g1^12 + 4*g1*t^7.616 + (g2*t^7.624)/g1^14 + (g2^2*t^7.644)/g1^16 + g1^12*g2*t^7.647 + (g2^2*t^7.655)/g1^3 + (g2^3*t^7.664)/g1^18 + (2*g1^9*t^7.79)/g2^3 + (2*g1^7*t^7.81)/g2^2 + (4*g1^5*t^7.829)/g2 + t^7.837/g1^10 + 2*g1^3*t^7.849 + (g2*t^7.857)/g1^12 + g1*g2*t^7.868 + (g2^2*t^7.877)/g1^14 + (g2^2*t^7.888)/g1 + (g1^9*t^8.042)/g2^2 + t^8.05/(g1^6*g2) - (g1^7*t^8.062)/g2 + (2*t^8.07)/g1^8 - 5*g1^5*t^8.081 + (2*g2*t^8.09)/g1^10 - 2*g1^3*g2*t^8.101 - g1*g2^2*t^8.12 + t^8.283/(g1^4*g2) + (3*t^8.302)/g1^6 + g1^20*t^8.325 + 2*g1^5*g2*t^8.333 + g1^3*g2^2*t^8.353 + g1*g2^3*t^8.372 + t^8.496/g2^2 + (2*t^8.515)/(g1^2*g2) - (3*t^8.535)/g1^4 + g1^9*t^8.546 - (4*g2*t^8.555)/g1^6 + g1^7*g2*t^8.566 - (g2^2*t^8.574)/g1^8 + (2*g1^2*t^8.728)/g2^2 - (3*t^8.767)/g1^2 + g1^11*t^8.779 - (g2*t^8.787)/g1^4 + g1^9*g2*t^8.798 + (2*g1^6*t^8.941)/g2^3 - (g1^4*t^8.961)/g2^2 + (g1^17*t^8.972)/g2^2 - (7*g1^2*t^8.98)/g2 + (g1^15*t^8.992)/g2 - t^4.384/(g1*y) - (g1^4*t^6.465)/y - t^6.919/(g1^5*y) - (g2*t^6.938)/(g1^7*y) - t^7.151/(g1^3*y) - (g1*t^7.364)/(g2*y) + (g2*t^7.403)/(g1^3*y) + (2*g1*t^7.616)/y + (g2*t^7.636)/(g1*y) + (g1^5*t^7.829)/(g2*y) + (2*g1^3*t^7.849)/y + (2*g1^7*t^8.062)/(g2*y) + (g1^5*t^8.081)/y + (g2*t^8.09)/(g1^10*y) + (2*t^8.302)/(g1^6*y) + (g2*t^8.322)/(g1^8*y) + (2*t^8.515)/(g1^2*g2*y) + (3*t^8.535)/(g1^4*y) - (g1^9*t^8.546)/y + (g2*t^8.555)/(g1^6*y) + (g1^7*g2*t^8.566)/y + (2*t^8.748)/(g2*y) + t^8.767/(g1^2*y) + (g1^4*t^8.961)/(g2^2*y) + (2*g1^2*t^8.98)/(g2*y) - (t^4.384*y)/g1 - g1^4*t^6.465*y - (t^6.919*y)/g1^5 - (g2*t^6.938*y)/g1^7 - (t^7.151*y)/g1^3 - (g1*t^7.364*y)/g2 + (g2*t^7.403*y)/g1^3 + 2*g1*t^7.616*y + (g2*t^7.636*y)/g1 + (g1^5*t^7.829*y)/g2 + 2*g1^3*t^7.849*y + (2*g1^7*t^8.062*y)/g2 + g1^5*t^8.081*y + (g2*t^8.09*y)/g1^10 + (2*t^8.302*y)/g1^6 + (g2*t^8.322*y)/g1^8 + (2*t^8.515*y)/(g1^2*g2) + (3*t^8.535*y)/g1^4 - g1^9*t^8.546*y + (g2*t^8.555*y)/g1^6 + g1^7*g2*t^8.566*y + (2*t^8.748*y)/g2 + (t^8.767*y)/g1^2 + (g1^4*t^8.961*y)/g2^2 + (2*g1^2*t^8.98*y)/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
57536	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.7353	0.9163	0.8024	[M:[1.0337, 1.0, 0.9663, 0.7928, 0.8264, 0.7591, 0.9663], q:[0.3964, 0.5699], qb:[0.6036, 0.6373], phi:[0.4482]]	t^2.277 + t^2.378 + t^2.479 + t^2.689 + 2*t^2.899 + t^3. + t^3.723 + t^4.243 + t^4.345 + t^4.446 + t^4.554 + t^4.655 + 2*t^4.757 + t^4.764 + t^4.858 + t^4.865 + t^4.959 + 3*t^4.966 + 2*t^5.067 + 2*t^5.168 + 2*t^5.176 + 2*t^5.277 + 3*t^5.378 + 2*t^5.588 + t^5.689 + 2*t^5.798 - 2*t^6. - t^4.345/y - t^4.345*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
47098	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7409	0.9251	0.8009	[M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]]	t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y	detail