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
900	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.7013	0.8625	0.8131	[M:[0.9319, 1.0227, 1.0681, 0.8864, 0.9319, 1.0227], q:[0.4865, 0.5816], qb:[0.4453, 0.532], phi:[0.4886]]	[M:[[6, 6], [-2, -2], [-6, -6], [10, 10], [6, 6], [-2, -2]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$	${}$	-4	t^2.659 + 2*t^2.796 + t^3.055 + 2*t^3.068 + t^3.081 + t^4.138 + t^4.262 + t^4.385 + t^4.398 + t^4.521 + t^4.547 + t^4.658 + t^4.67 + t^4.807 + t^4.956 + t^5.319 + 2*t^5.455 + 2*t^5.591 + 2*t^5.727 + t^5.851 + 3*t^5.864 + t^5.876 - 4*t^6. + t^6.111 + t^6.124 + 2*t^6.136 + t^6.149 + t^6.162 - t^6.26 - t^6.285 - t^6.409 + t^6.797 + t^6.921 + 2*t^6.934 + t^7.044 + 2*t^7.057 + 2*t^7.181 + 2*t^7.193 + t^7.206 + t^7.219 + 2*t^7.317 + t^7.33 + t^7.342 + t^7.441 + 3*t^7.453 + t^7.466 + t^7.577 + t^7.615 + t^7.628 + t^7.713 + t^7.738 + t^7.751 + t^7.978 + t^8.024 + t^8.036 + 2*t^8.114 + 2*t^8.251 + t^8.276 + 4*t^8.387 + t^8.399 + 4*t^8.523 + 2*t^8.647 + t^8.685 + t^8.77 - 5*t^8.796 + t^8.808 + 2*t^8.907 + 2*t^8.932 + t^8.945 + t^8.957 - t^4.466/y - t^7.125/y - t^7.262/y + t^7.398/y - t^7.534/y + t^7.67/y + t^7.807/y + (2*t^8.455)/y + t^8.591/y + t^8.715/y + (2*t^8.727)/y + t^8.74/y + (2*t^8.851)/y + (4*t^8.864)/y + (2*t^8.876)/y - t^4.466*y - t^7.125*y - t^7.262*y + t^7.398*y - t^7.534*y + t^7.67*y + t^7.807*y + 2*t^8.455*y + t^8.591*y + t^8.715*y + 2*t^8.727*y + t^8.74*y + 2*t^8.851*y + 4*t^8.864*y + 2*t^8.876*y	g1^10*g2^10*t^2.659 + 2*g1^6*g2^6*t^2.796 + g1^4*g2^8*t^3.055 + (2*t^3.068)/(g1^2*g2^2) + t^3.081/(g1^8*g2^12) + g1^5*g2*t^4.138 + g1^7*g2^7*t^4.262 + g1^9*g2^13*t^4.385 + g1^3*g2^3*t^4.398 + g1^5*g2^9*t^4.521 + t^4.547/(g1^7*g2^11) + g1*g2^5*t^4.658 + t^4.67/(g1^5*g2^5) + t^4.807/(g1^9*g2^9) + t^4.956/(g1^19*g2^23) + g1^20*g2^20*t^5.319 + 2*g1^16*g2^16*t^5.455 + 2*g1^12*g2^12*t^5.591 + 2*g1^8*g2^8*t^5.727 + g1^10*g2^14*t^5.851 + 3*g1^4*g2^4*t^5.864 + t^5.876/(g1^2*g2^6) - 4*t^6. + g1^8*g2^16*t^6.111 + g1^2*g2^6*t^6.124 + (2*t^6.136)/(g1^4*g2^4) + t^6.149/(g1^10*g2^14) + t^6.162/(g1^16*g2^24) - (g2^2*t^6.26)/g1^2 - t^6.285/(g1^14*g2^18) - t^6.409/(g1^12*g2^12) + g1^15*g2^11*t^6.797 + g1^17*g2^17*t^6.921 + 2*g1^11*g2^7*t^6.934 + g1^19*g2^23*t^7.044 + 2*g1^13*g2^13*t^7.057 + 2*g1^15*g2^19*t^7.181 + 2*g1^9*g2^9*t^7.193 + (g1^3*t^7.206)/g2 + t^7.219/(g1^3*g2^11) + 2*g1^11*g2^15*t^7.317 + g1^5*g2^5*t^7.33 + t^7.342/(g1*g2^5) + g1^13*g2^21*t^7.441 + 3*g1^7*g2^11*t^7.453 + g1*g2*t^7.466 + g1^9*g2^17*t^7.577 + t^7.615/(g1^9*g2^13) + t^7.628/(g1^15*g2^23) + g1^5*g2^13*t^7.713 + t^7.738/(g1^7*g2^7) + t^7.751/(g1^13*g2^17) + g1^30*g2^30*t^7.978 + t^8.024/(g1^21*g2^25) + t^8.036/(g1^27*g2^35) + 2*g1^26*g2^26*t^8.114 + 2*g1^22*g2^22*t^8.251 + g1^10*g2^2*t^8.276 + 4*g1^18*g2^18*t^8.387 + g1^12*g2^8*t^8.399 + 4*g1^14*g2^14*t^8.523 + 2*g1^16*g2^20*t^8.647 + t^8.685/(g1^2*g2^10) + g1^18*g2^26*t^8.77 - 5*g1^6*g2^6*t^8.796 + t^8.808/g2^4 + 2*g1^14*g2^22*t^8.907 + 2*g1^2*g2^2*t^8.932 + t^8.945/(g1^4*g2^8) + t^8.957/(g1^10*g2^18) - (g1*g2*t^4.466)/y - (g1^11*g2^11*t^7.125)/y - (g1^7*g2^7*t^7.262)/y + (g1^3*g2^3*t^7.398)/y - t^7.534/(g1*g2*y) + t^7.67/(g1^5*g2^5*y) + t^7.807/(g1^9*g2^9*y) + (2*g1^16*g2^16*t^8.455)/y + (g1^12*g2^12*t^8.591)/y + (g1^14*g2^18*t^8.715)/y + (2*g1^8*g2^8*t^8.727)/y + (g1^2*t^8.74)/(g2^2*y) + (2*g1^10*g2^14*t^8.851)/y + (4*g1^4*g2^4*t^8.864)/y + (2*t^8.876)/(g1^2*g2^6*y) - g1*g2*t^4.466*y - g1^11*g2^11*t^7.125*y - g1^7*g2^7*t^7.262*y + g1^3*g2^3*t^7.398*y - (t^7.534*y)/(g1*g2) + (t^7.67*y)/(g1^5*g2^5) + (t^7.807*y)/(g1^9*g2^9) + 2*g1^16*g2^16*t^8.455*y + g1^12*g2^12*t^8.591*y + g1^14*g2^18*t^8.715*y + 2*g1^8*g2^8*t^8.727*y + (g1^2*t^8.74*y)/g2^2 + 2*g1^10*g2^14*t^8.851*y + 4*g1^4*g2^4*t^8.864*y + (2*t^8.876*y)/(g1^2*g2^6)

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
2063	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.6694	0.8378	0.799	[M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]]	t^2.165 + 2*t^2.499 + t^2.752 + 2*t^3.167 + t^3.582 + t^3.835 + t^3.916 + t^3.997 + t^4.168 + t^4.25 + t^4.331 + t^4.502 + 2*t^4.665 + t^4.917 + 3*t^4.998 + 2*t^5.251 + 2*t^5.332 + t^5.504 + 3*t^5.666 + t^5.919 - 2*t^6. - t^4.417/y - t^4.417*y	detail
2062	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.5606	0.728	0.77	[M:[0.8468, 1.0511, 1.1532, 0.7447, 0.8468, 1.0511], q:[0.6607, 0.4925], qb:[0.1862, 0.7628], phi:[0.4745]]	t^2.036 + t^2.234 + 3*t^2.541 + 2*t^3.153 + t^3.459 + t^3.964 + t^4.072 + 2*t^4.27 + t^4.378 + t^4.468 + 2*t^4.577 + 3*t^4.775 + t^4.883 + 5*t^5.081 + 2*t^5.189 + 3*t^5.387 + 5*t^5.694 - t^6. - t^4.423/y - t^4.423*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
580	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$	0.7035	0.8668	0.8116	[M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]]	t^2.624 + 2*t^2.774 + t^2.925 + t^3.06 + t^3.075 + t^3.091 + t^4.102 + t^4.237 + t^4.372 + t^4.387 + t^4.522 + t^4.553 + t^4.673 + t^4.688 + t^4.839 + t^5.005 + t^5.248 + 2*t^5.398 + 3*t^5.549 + 3*t^5.699 + t^5.834 + 2*t^5.85 + t^5.865 + t^5.985 - 3*t^6. - t^4.462/y - t^4.462*y	detail