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
50901	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$	0.6214	0.8287	0.7498	[M:[0.9268, 0.6831, 1.2197, 0.7803, 0.6831, 1.0732], q:[0.7317, 0.3416], qb:[0.4387, 0.3416], phi:[0.5366]]	[M:[[-4], [10], [12], [-12], [10], [4]], q:[[-1], [5]], qb:[[-17], [5]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	-1	3*t^2.049 + 2*t^2.341 + 3*t^3.22 + t^3.511 + 3*t^3.659 + 6*t^4.099 + t^4.242 + 6*t^4.39 + 3*t^4.682 + 9*t^5.269 + 8*t^5.561 + 7*t^5.709 + 2*t^5.852 - t^6. + 10*t^6.148 + 13*t^6.439 + 2*t^6.583 + 9*t^6.731 + 6*t^6.879 + 4*t^7.022 - 3*t^7.17 + 21*t^7.318 + t^7.462 + 13*t^7.61 + t^7.753 + 12*t^7.758 + 10*t^7.901 - 7*t^8.049 + 3*t^8.193 + 15*t^8.197 - 8*t^8.341 + t^8.484 + 23*t^8.489 + 19*t^8.78 + 3*t^8.924 + 13*t^8.928 - t^4.61/y - (2*t^6.659)/y + (3*t^7.099)/y + (7*t^7.39)/y + t^7.682/y - t^7.83/y + (9*t^8.269)/y + (11*t^8.561)/y + (6*t^8.709)/y + (2*t^8.852)/y - t^4.61*y - 2*t^6.659*y + 3*t^7.099*y + 7*t^7.39*y + t^7.682*y - t^7.83*y + 9*t^8.269*y + 11*t^8.561*y + 6*t^8.709*y + 2*t^8.852*y	3*g1^10*t^2.049 + (2*t^2.341)/g1^12 + 3*g1^4*t^3.22 + t^3.511/g1^18 + 3*g1^12*t^3.659 + 6*g1^20*t^4.099 + t^4.242/g1^32 + (6*t^4.39)/g1^2 + (3*t^4.682)/g1^24 + 9*g1^14*t^5.269 + (8*t^5.561)/g1^8 + 7*g1^22*t^5.709 + (2*t^5.852)/g1^30 - t^6. + 10*g1^30*t^6.148 + 13*g1^8*t^6.439 + (2*t^6.583)/g1^44 + (9*t^6.731)/g1^14 + 6*g1^16*t^6.879 + (4*t^7.022)/g1^36 - (3*t^7.17)/g1^6 + 21*g1^24*t^7.318 + t^7.462/g1^28 + 13*g1^2*t^7.61 + t^7.753/g1^50 + 12*g1^32*t^7.758 + (10*t^7.901)/g1^20 - 7*g1^10*t^8.049 + (3*t^8.193)/g1^42 + 15*g1^40*t^8.197 - (8*t^8.341)/g1^12 + t^8.484/g1^64 + 23*g1^18*t^8.489 + (19*t^8.78)/g1^4 + (3*t^8.924)/g1^56 + 13*g1^26*t^8.928 - (g1^2*t^4.61)/y - (2*g1^12*t^6.659)/y + (3*g1^20*t^7.099)/y + (7*t^7.39)/(g1^2*y) + t^7.682/(g1^24*y) - (g1^6*t^7.83)/y + (9*g1^14*t^8.269)/y + (11*t^8.561)/(g1^8*y) + (6*g1^22*t^8.709)/y + (2*t^8.852)/(g1^30*y) - g1^2*t^4.61*y - 2*g1^12*t^6.659*y + 3*g1^20*t^7.099*y + (7*t^7.39*y)/g1^2 + (t^7.682*y)/g1^24 - g1^6*t^7.83*y + 9*g1^14*t^8.269*y + (11*t^8.561*y)/g1^8 + 6*g1^22*t^8.709*y + (2*t^8.852*y)/g1^30

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
56112	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6369	0.8573	0.7428	[M:[0.9325, 0.6687, 1.2025, 0.7975, 0.6687, 1.0675, 0.8037], q:[0.7331, 0.3344], qb:[0.4631, 0.3344], phi:[0.5337]]	3*t^2.006 + 2*t^2.393 + t^2.411 + 3*t^3.202 + 3*t^3.607 + 6*t^4.012 + t^4.38 + 6*t^4.399 + 3*t^4.417 + 3*t^4.785 + 2*t^4.804 + t^4.822 + 9*t^5.209 + 5*t^5.595 + 10*t^5.614 - t^6. - t^4.601/y - t^4.601*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
46959	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6282	0.8399	0.7479	[M:[0.9249, 0.6877, 1.2252, 0.7748, 0.6877], q:[0.7312, 0.3438], qb:[0.4309, 0.3438], phi:[0.5375]]	3*t^2.063 + 2*t^2.324 + t^2.775 + 2*t^3.225 + t^3.486 + 3*t^3.676 + 6*t^4.126 + t^4.198 + 6*t^4.387 + 3*t^4.649 + 3*t^4.838 + 2*t^5.099 + 6*t^5.288 + 7*t^5.55 + 7*t^5.739 + 2*t^5.811 + t^6. - t^4.613/y - t^4.613*y	detail