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
2908	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.6396	0.8457	0.7563	[M:[0.9614, 1.1157, 0.9614, 0.8843, 0.7018, 0.6736], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]]	[M:[[4], [-12], [4], [12], [5], [-18]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-1	t^2.021 + 2*t^2.105 + t^2.337 + t^2.653 + 2*t^2.884 + t^3.347 + t^3.432 + 2*t^3.663 + t^4.042 + 2*t^4.126 + 4*t^4.211 + t^4.358 + 3*t^4.442 + 2*t^4.674 + 2*t^4.758 + 2*t^4.905 + 5*t^4.99 + 2*t^5.221 + t^5.306 + t^5.368 + 2*t^5.453 + 4*t^5.537 + 2*t^5.684 + 6*t^5.769 - t^6. + t^6.062 + t^6.085 + 2*t^6.147 + 3*t^6.231 + 8*t^6.316 + t^6.378 + 3*t^6.463 + 6*t^6.547 + 3*t^6.694 + 2*t^6.779 + 4*t^6.864 + 2*t^6.926 + 5*t^7.01 + 11*t^7.095 + t^7.242 + 5*t^7.326 + t^7.389 + 2*t^7.411 + 2*t^7.473 + 3*t^7.558 + 8*t^7.642 + 2*t^7.705 + 4*t^7.789 + 11*t^7.874 + t^7.958 - t^8.021 + t^8.083 - t^8.105 + 2*t^8.168 + 4*t^8.19 + 3*t^8.252 + 2*t^8.337 + t^8.399 + 14*t^8.421 + 3*t^8.484 + 3*t^8.568 + 9*t^8.653 + 3*t^8.715 + t^8.737 + 3*t^8.8 - 3*t^8.884 + 2*t^8.947 + 8*t^8.969 - t^4.558/y - t^6.579/y - t^6.663/y + (2*t^7.126)/y + t^7.211/y + t^7.358/y + t^7.442/y + (2*t^7.674)/y + (2*t^7.758)/y + (2*t^7.905)/y + (5*t^7.99)/y + (2*t^8.221)/y + t^8.368/y + (4*t^8.453)/y + (5*t^8.537)/y - t^8.599/y + (2*t^8.684)/y + (5*t^8.769)/y - t^4.558*y - t^6.579*y - t^6.663*y + 2*t^7.126*y + t^7.211*y + t^7.358*y + t^7.442*y + 2*t^7.674*y + 2*t^7.758*y + 2*t^7.905*y + 5*t^7.99*y + 2*t^8.221*y + t^8.368*y + 4*t^8.453*y + 5*t^8.537*y - t^8.599*y + 2*t^8.684*y + 5*t^8.769*y	t^2.021/g1^18 + 2*g1^5*t^2.105 + t^2.337/g1^3 + g1^12*t^2.653 + 2*g1^4*t^2.884 + t^3.347/g1^12 + g1^11*t^3.432 + 2*g1^3*t^3.663 + t^4.042/g1^36 + (2*t^4.126)/g1^13 + 4*g1^10*t^4.211 + t^4.358/g1^21 + 3*g1^2*t^4.442 + (2*t^4.674)/g1^6 + 2*g1^17*t^4.758 + (2*t^4.905)/g1^14 + 5*g1^9*t^4.99 + 2*g1*t^5.221 + g1^24*t^5.306 + t^5.368/g1^30 + (2*t^5.453)/g1^7 + 4*g1^16*t^5.537 + (2*t^5.684)/g1^15 + 6*g1^8*t^5.769 - t^6. + t^6.062/g1^54 + g1^23*t^6.085 + (2*t^6.147)/g1^31 + (3*t^6.231)/g1^8 + 8*g1^15*t^6.316 + t^6.378/g1^39 + (3*t^6.463)/g1^16 + 6*g1^7*t^6.547 + (3*t^6.694)/g1^24 + (2*t^6.779)/g1 + 4*g1^22*t^6.864 + (2*t^6.926)/g1^32 + (5*t^7.01)/g1^9 + 11*g1^14*t^7.095 + t^7.242/g1^17 + 5*g1^6*t^7.326 + t^7.389/g1^48 + 2*g1^29*t^7.411 + (2*t^7.473)/g1^25 + (3*t^7.558)/g1^2 + 8*g1^21*t^7.642 + (2*t^7.705)/g1^33 + (4*t^7.789)/g1^10 + 11*g1^13*t^7.874 + g1^36*t^7.958 - t^8.021/g1^18 + t^8.083/g1^72 - g1^5*t^8.105 + (2*t^8.168)/g1^49 + 4*g1^28*t^8.19 + (3*t^8.252)/g1^26 + (2*t^8.337)/g1^3 + t^8.399/g1^57 + 14*g1^20*t^8.421 + (3*t^8.484)/g1^34 + (3*t^8.568)/g1^11 + 9*g1^12*t^8.653 + (3*t^8.715)/g1^42 + g1^35*t^8.737 + (3*t^8.8)/g1^19 - 3*g1^4*t^8.884 + (2*t^8.947)/g1^50 + 8*g1^27*t^8.969 - t^4.558/(g1^2*y) - t^6.579/(g1^20*y) - (g1^3*t^6.663)/y + (2*t^7.126)/(g1^13*y) + (g1^10*t^7.211)/y + t^7.358/(g1^21*y) + (g1^2*t^7.442)/y + (2*t^7.674)/(g1^6*y) + (2*g1^17*t^7.758)/y + (2*t^7.905)/(g1^14*y) + (5*g1^9*t^7.99)/y + (2*g1*t^8.221)/y + t^8.368/(g1^30*y) + (4*t^8.453)/(g1^7*y) + (5*g1^16*t^8.537)/y - t^8.599/(g1^38*y) + (2*t^8.684)/(g1^15*y) + (5*g1^8*t^8.769)/y - (t^4.558*y)/g1^2 - (t^6.579*y)/g1^20 - g1^3*t^6.663*y + (2*t^7.126*y)/g1^13 + g1^10*t^7.211*y + (t^7.358*y)/g1^21 + g1^2*t^7.442*y + (2*t^7.674*y)/g1^6 + 2*g1^17*t^7.758*y + (2*t^7.905*y)/g1^14 + 5*g1^9*t^7.99*y + 2*g1*t^8.221*y + (t^8.368*y)/g1^30 + (4*t^8.453*y)/g1^7 + 5*g1^16*t^8.537*y - (t^8.599*y)/g1^38 + (2*t^8.684*y)/g1^15 + 5*g1^8*t^8.769*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
3496	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.651	0.8665	0.7513	[M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]]	2*t^2.075 + t^2.129 + t^2.355 + 2*t^2.581 + 2*t^2.86 + t^3.366 + 2*t^3.645 + 4*t^4.151 + 2*t^4.204 + t^4.257 + 3*t^4.43 + t^4.483 + 4*t^4.656 + 3*t^4.71 + 6*t^4.936 + 2*t^4.989 + 3*t^5.162 + 2*t^5.215 + 6*t^5.441 + 6*t^5.721 + t^5.774 + 2*t^5.947 - 2*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

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
1886	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.6188	0.8048	0.7688	[M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]]	2*t^2.102 + t^2.339 + t^2.644 + 2*t^2.881 + t^3.356 + t^3.424 + 2*t^3.661 + t^3.966 + 4*t^4.204 + 3*t^4.441 + t^4.678 + 2*t^4.746 + 5*t^4.983 + 2*t^5.22 + t^5.289 + t^5.457 + 4*t^5.526 + 6*t^5.763 - t^6. - t^4.559/y - t^4.559*y	detail