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
55559	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6692	0.8404	0.7963	[M:[1.0616, 0.6921, 0.8152, 1.1848, 0.8152, 1.0381], q:[0.5425, 0.3959], qb:[0.7654, 0.4194], phi:[0.4692]]	[M:[[4], [-20], [-12], [12], [-12], [-30]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$	-1	t^2.076 + 2*t^2.446 + t^2.815 + t^3.114 + t^3.185 + t^3.484 + t^3.783 + t^3.853 + t^3.924 + t^4.152 + t^4.223 + t^4.293 + 2*t^4.522 + t^4.663 + 4*t^4.891 + t^5.191 + 3*t^5.261 + 2*t^5.56 + 2*t^5.63 + t^5.859 + 3*t^5.93 - t^6. - t^6.07 + 4*t^6.229 + 4*t^6.299 + t^6.37 - t^6.44 + 4*t^6.598 + 2*t^6.669 + 2*t^6.739 + t^6.897 + 5*t^6.968 + t^7.109 + 2*t^7.267 + 7*t^7.337 - t^7.408 + t^7.566 + 3*t^7.636 + 6*t^7.707 - t^7.848 + t^7.935 + 5*t^8.006 + 2*t^8.076 - t^8.147 + 4*t^8.305 + 6*t^8.375 - 2*t^8.446 - 3*t^8.516 + t^8.587 + 8*t^8.674 + 6*t^8.745 - 2*t^8.815 - 2*t^8.886 + t^8.956 + t^8.973 - t^4.408/y - t^6.484/y - t^6.853/y + t^7.293/y + t^7.522/y + (2*t^7.891)/y + t^7.962/y + t^8.191/y + (3*t^8.261)/y + t^8.331/y + (2*t^8.56)/y + (2*t^8.63)/y + t^8.859/y + (3*t^8.93)/y - t^4.408*y - t^6.484*y - t^6.853*y + t^7.293*y + t^7.522*y + 2*t^7.891*y + t^7.962*y + t^8.191*y + 3*t^8.261*y + t^8.331*y + 2*t^8.56*y + 2*t^8.63*y + t^8.859*y + 3*t^8.93*y	t^2.076/g1^20 + (2*t^2.446)/g1^12 + t^2.815/g1^4 + t^3.114/g1^30 + g1^4*t^3.185 + t^3.484/g1^22 + t^3.783/g1^48 + t^3.853/g1^14 + g1^20*t^3.924 + t^4.152/g1^40 + t^4.223/g1^6 + g1^28*t^4.293 + (2*t^4.522)/g1^32 + g1^36*t^4.663 + (4*t^4.891)/g1^24 + t^5.191/g1^50 + (3*t^5.261)/g1^16 + (2*t^5.56)/g1^42 + (2*t^5.63)/g1^8 + t^5.859/g1^68 + (3*t^5.93)/g1^34 - t^6. - g1^34*t^6.07 + (4*t^6.229)/g1^60 + (4*t^6.299)/g1^26 + g1^8*t^6.37 - g1^42*t^6.44 + (4*t^6.598)/g1^52 + (2*t^6.669)/g1^18 + 2*g1^16*t^6.739 + t^6.897/g1^78 + (5*t^6.968)/g1^44 + g1^24*t^7.109 + (2*t^7.267)/g1^70 + (7*t^7.337)/g1^36 - t^7.408/g1^2 + t^7.566/g1^96 + (3*t^7.636)/g1^62 + (6*t^7.707)/g1^28 - g1^40*t^7.848 + t^7.935/g1^88 + (5*t^8.006)/g1^54 + (2*t^8.076)/g1^20 - g1^14*t^8.147 + (4*t^8.305)/g1^80 + (6*t^8.375)/g1^46 - (2*t^8.446)/g1^12 - 3*g1^22*t^8.516 + g1^56*t^8.587 + (8*t^8.674)/g1^72 + (6*t^8.745)/g1^38 - (2*t^8.815)/g1^4 - 2*g1^30*t^8.886 + g1^64*t^8.956 + t^8.973/g1^98 - t^4.408/(g1^2*y) - t^6.484/(g1^22*y) - t^6.853/(g1^14*y) + (g1^28*t^7.293)/y + t^7.522/(g1^32*y) + (2*t^7.891)/(g1^24*y) + (g1^10*t^7.962)/y + t^8.191/(g1^50*y) + (3*t^8.261)/(g1^16*y) + (g1^18*t^8.331)/y + (2*t^8.56)/(g1^42*y) + (2*t^8.63)/(g1^8*y) + t^8.859/(g1^68*y) + (3*t^8.93)/(g1^34*y) - (t^4.408*y)/g1^2 - (t^6.484*y)/g1^22 - (t^6.853*y)/g1^14 + g1^28*t^7.293*y + (t^7.522*y)/g1^32 + (2*t^7.891*y)/g1^24 + g1^10*t^7.962*y + (t^8.191*y)/g1^50 + (3*t^8.261*y)/g1^16 + g1^18*t^8.331*y + (2*t^8.56*y)/g1^42 + (2*t^8.63*y)/g1^8 + (t^8.859*y)/g1^68 + (3*t^8.93*y)/g1^34

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
57118	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$	0.6749	0.8505	0.7935	[M:[1.0623, 0.6886, 0.8132, 1.1868, 0.8132, 1.0329, 0.9377], q:[0.5458, 0.3919], qb:[0.7656, 0.4213], phi:[0.4689]]	t^2.066 + 2*t^2.439 + 2*t^2.813 + t^3.099 + t^3.472 + t^3.758 + t^3.846 + t^3.934 + t^4.132 + t^4.22 + t^4.308 + 2*t^4.505 + t^4.682 + 5*t^4.879 + t^5.164 + 4*t^5.253 + 2*t^5.538 + 2*t^5.626 + t^5.824 + 4*t^5.912 - 2*t^6. - t^4.407/y - t^4.407*y	detail
57119	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$	0.6894	0.878	0.7852	[M:[1.0609, 0.6954, 0.8172, 1.1828, 0.8172, 1.043, 0.7132], q:[0.5394, 0.3997], qb:[0.7652, 0.4175], phi:[0.4695]]	t^2.086 + t^2.14 + 2*t^2.452 + t^2.817 + t^3.129 + t^3.183 + t^3.495 + t^3.807 + t^3.914 + t^4.172 + 2*t^4.226 + 2*t^4.279 + 2*t^4.538 + 2*t^4.591 + t^4.645 + 4*t^4.903 + t^4.957 + t^5.215 + 4*t^5.269 + t^5.323 + 2*t^5.581 + 3*t^5.634 + t^5.893 + 3*t^5.946 - t^6. - t^4.409/y - t^4.409*y	detail
57117	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.6635	0.8304	0.7991	[M:[1.0609, 0.6956, 0.8173, 1.1827, 0.8173, 1.0434, 1.0609], q:[0.5392, 0.3999], qb:[0.7652, 0.4174], phi:[0.4696]]	t^2.087 + 2*t^2.452 + t^3.13 + 2*t^3.183 + t^3.495 + t^3.808 + t^3.861 + t^3.913 + t^4.173 + t^4.226 + t^4.279 + 2*t^4.539 + t^4.644 + 3*t^4.904 + t^5.217 + 2*t^5.269 + 2*t^5.582 + 3*t^5.635 + t^5.895 + 2*t^5.947 - 2*t^6. - t^4.409/y - t^4.409*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
47215	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6746	0.8467	0.7967	[M:[1.0563, 0.7183, 0.831, 1.169, 0.831], q:[0.5176, 0.426], qb:[0.7641, 0.4049], phi:[0.4718]]	t^2.155 + 2*t^2.493 + t^2.768 + t^2.831 + t^3.169 + t^3.57 + t^3.845 + t^3.908 + t^3.972 + t^4.183 + t^4.246 + t^4.31 + t^4.521 + 2*t^4.648 + t^4.923 + 4*t^4.986 + 2*t^5.261 + 3*t^5.324 + t^5.535 + t^5.599 + 2*t^5.662 - t^6. - t^4.415/y - t^4.415*y	detail