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
559	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6365	0.835	0.7622	[M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]]	[M:[[4, 4], [-12, -12], [12, 12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	-4	4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. + 2*t^6.121 + 10*t^6.386 + t^6.53 + 18*t^6.651 + 3*t^6.771 + t^6.795 - 2*t^6.916 + 13*t^7.036 - 2*t^7.181 + 8*t^7.301 + 4*t^7.422 + 5*t^7.566 + 8*t^7.687 + t^7.808 + 2*t^7.831 + 18*t^7.952 + t^8.073 - 18*t^8.217 + 14*t^8.338 - 2*t^8.482 + 18*t^8.603 + 2*t^8.723 + 2*t^8.747 + 22*t^8.868 + 10*t^8.988 - t^4.566/y - (2*t^6.783)/y + (6*t^7.434)/y + (4*t^7.819)/y + (4*t^8.084)/y + (6*t^8.349)/y + t^8.47/y + (4*t^8.614)/y + (9*t^8.735)/y - t^4.566*y - 2*t^6.783*y + 6*t^7.434*y + 4*t^7.819*y + 4*t^8.084*y + 6*t^8.349*y + t^8.47*y + 4*t^8.614*y + 9*t^8.735*y	(2*g1^7*t^2.217)/g2^5 + (2*g2^7*t^2.217)/g1^5 + g1^12*g2^12*t^2.603 + g1^4*g2^4*t^2.868 + t^3.132/(g1^4*g2^4) + t^3.397/(g1^12*g2^12) + g1^13*g2*t^3.518 + g1*g2^13*t^3.518 + (g1^22*t^4.169)/g2^2 + g1^10*g2^10*t^4.169 + (g2^22*t^4.169)/g1^2 + (3*g1^14*t^4.434)/g2^10 + 4*g1^2*g2^2*t^4.434 + (3*g2^14*t^4.434)/g1^10 + 2*g1^19*g2^7*t^4.819 + 2*g1^7*g2^19*t^4.819 + (2*g1^11*t^5.084)/g2 + (2*g2^11*t^5.084)/g1 + g1^24*g2^24*t^5.205 + (2*g1^3*t^5.349)/g2^9 + (2*g2^3*t^5.349)/g1^9 + g1^16*g2^16*t^5.47 + t^5.614/(g1^5*g2^17) + t^5.614/(g1^17*g2^5) + (2*g1^20*t^5.735)/g2^4 + 5*g1^8*g2^8*t^5.735 + (2*g2^20*t^5.735)/g1^4 - 2*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + g1^25*g2^13*t^6.121 + g1^13*g2^25*t^6.121 + (2*g1^29*t^6.386)/g2^7 + 3*g1^17*g2^5*t^6.386 + 3*g1^5*g2^17*t^6.386 + (2*g2^29*t^6.386)/g1^7 + t^6.53/(g1^16*g2^16) + (4*g1^21*t^6.651)/g2^15 + (5*g1^9*t^6.651)/g2^3 + (5*g2^9*t^6.651)/g1^3 + (4*g2^21*t^6.651)/g1^15 + g1^34*g2^10*t^6.771 + g1^22*g2^22*t^6.771 + g1^10*g2^34*t^6.771 + t^6.795/(g1^24*g2^24) - (g1*t^6.916)/g2^11 - (g2*t^6.916)/g1^11 + 4*g1^26*g2^2*t^7.036 + 5*g1^14*g2^14*t^7.036 + 4*g1^2*g2^26*t^7.036 - t^7.181/(g1^7*g2^19) - t^7.181/(g1^19*g2^7) + (3*g1^18*t^7.301)/g2^6 + 2*g1^6*g2^6*t^7.301 + (3*g2^18*t^7.301)/g1^6 + 2*g1^31*g2^19*t^7.422 + 2*g1^19*g2^31*t^7.422 + (2*g1^10*t^7.566)/g2^14 + t^7.566/(g1^2*g2^2) + (2*g2^10*t^7.566)/g1^14 + (g1^35*t^7.687)/g2 + 3*g1^23*g2^11*t^7.687 + 3*g1^11*g2^23*t^7.687 + (g2^35*t^7.687)/g1 + g1^36*g2^36*t^7.808 + (g1^2*t^7.831)/g2^22 + (g2^2*t^7.831)/g1^22 + (3*g1^27*t^7.952)/g2^9 + 6*g1^15*g2^3*t^7.952 + 6*g1^3*g2^15*t^7.952 + (3*g2^27*t^7.952)/g1^9 + g1^28*g2^28*t^8.073 - (2*g1^19*t^8.217)/g2^17 - (7*g1^7*t^8.217)/g2^5 - (7*g2^7*t^8.217)/g1^5 - (2*g2^19*t^8.217)/g1^17 + (g1^44*t^8.338)/g2^4 + 3*g1^32*g2^8*t^8.338 + 6*g1^20*g2^20*t^8.338 + 3*g1^8*g2^32*t^8.338 + (g2^44*t^8.338)/g1^4 - t^8.482/(g1*g2^13) - t^8.482/(g1^13*g2) + 4*g1^24*t^8.603 + (3*g1^36*t^8.603)/g2^12 + 4*g1^12*g2^12*t^8.603 + 4*g2^24*t^8.603 + (3*g2^36*t^8.603)/g1^12 + g1^37*g2^25*t^8.723 + g1^25*g2^37*t^8.723 + t^8.747/(g1^9*g2^21) + t^8.747/(g1^21*g2^9) + (5*g1^28*t^8.868)/g2^20 + (5*g1^16*t^8.868)/g2^8 + 2*g1^4*g2^4*t^8.868 + (5*g2^16*t^8.868)/g1^8 + (5*g2^28*t^8.868)/g1^20 + 2*g1^41*g2^5*t^8.988 + 3*g1^29*g2^17*t^8.988 + 3*g1^17*g2^29*t^8.988 + 2*g1^5*g2^41*t^8.988 - t^4.566/(g1^2*g2^2*y) - (g1^5*t^6.783)/(g2^7*y) - (g2^5*t^6.783)/(g1^7*y) + (g1^14*t^7.434)/(g2^10*y) + (4*g1^2*g2^2*t^7.434)/y + (g2^14*t^7.434)/(g1^10*y) + (2*g1^19*g2^7*t^7.819)/y + (2*g1^7*g2^19*t^7.819)/y + (2*g1^11*t^8.084)/(g2*y) + (2*g2^11*t^8.084)/(g1*y) + (3*g1^3*t^8.349)/(g2^9*y) + (3*g2^3*t^8.349)/(g1^9*y) + (g1^16*g2^16*t^8.47)/y + (2*t^8.614)/(g1^5*g2^17*y) + (2*t^8.614)/(g1^17*g2^5*y) + (2*g1^20*t^8.735)/(g2^4*y) + (5*g1^8*g2^8*t^8.735)/y + (2*g2^20*t^8.735)/(g1^4*y) - (t^4.566*y)/(g1^2*g2^2) - (g1^5*t^6.783*y)/g2^7 - (g2^5*t^6.783*y)/g1^7 + (g1^14*t^7.434*y)/g2^10 + 4*g1^2*g2^2*t^7.434*y + (g2^14*t^7.434*y)/g1^10 + 2*g1^19*g2^7*t^7.819*y + 2*g1^7*g2^19*t^7.819*y + (2*g1^11*t^8.084*y)/g2 + (2*g2^11*t^8.084*y)/g1 + (3*g1^3*t^8.349*y)/g2^9 + (3*g2^3*t^8.349*y)/g1^9 + g1^16*g2^16*t^8.47*y + (2*t^8.614*y)/(g1^5*g2^17) + (2*t^8.614*y)/(g1^17*g2^5) + (2*g1^20*t^8.735*y)/g2^4 + 5*g1^8*g2^8*t^8.735*y + (2*g2^20*t^8.735*y)/g1^4

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
1913	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6332	0.8288	0.764	[M:[0.9677, 1.0969, 0.9031, 0.7096, 0.7742], q:[0.7419, 0.2904], qb:[0.4838, 0.4192], phi:[0.5162]]	2*t^2.129 + 2*t^2.323 + t^2.709 + t^2.903 + t^3.097 + t^3.291 + t^3.483 + t^3.677 + t^4.064 + 4*t^4.258 + 5*t^4.452 + 3*t^4.645 + 2*t^4.838 + 4*t^5.032 + 4*t^5.226 + t^5.418 + 3*t^5.42 + 3*t^5.612 + t^5.614 + 4*t^5.806 - t^4.548/y - t^4.548*y	detail
1914	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6522	0.8612	0.7573	[M:[0.964, 1.108, 0.892, 0.728, 0.754, 0.8], q:[0.741, 0.295], qb:[0.459, 0.433], phi:[0.518]]	2*t^2.184 + 2*t^2.262 + t^2.4 + t^2.676 + t^2.892 + t^3.108 + t^3.324 + t^3.522 + t^4.152 + t^4.23 + t^4.308 + 3*t^4.368 + 4*t^4.446 + 3*t^4.524 + 2*t^4.584 + 2*t^4.662 + t^4.8 + 2*t^4.86 + 2*t^4.938 + 3*t^5.076 + 2*t^5.154 + 3*t^5.292 + t^5.352 + 2*t^5.37 + 2*t^5.508 + t^5.568 + t^5.586 + 2*t^5.706 + t^5.724 + 3*t^5.784 - 2*t^6. - t^4.554/y - t^4.554*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
351	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6172	0.7998	0.7717	[M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]]	2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y	detail