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
1991	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6687	0.8494	0.7872	[M:[0.8211, 0.7507, 1.1789, 0.8564, 0.7154, 0.7507], q:[0.8035, 0.8035], qb:[0.3753, 0.4458], phi:[0.393]]	[M:[[6], [-14], [-6], [16], [-24], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.146 + 2*t^2.252 + t^2.358 + t^2.463 + t^2.569 + 2*t^3.537 + t^3.642 + t^4.293 + 2*t^4.398 + 4*t^4.504 + 3*t^4.61 + 4*t^4.715 + 4*t^4.821 + 2*t^4.927 + t^5.033 + t^5.138 + 2*t^5.683 + 4*t^5.789 + 2*t^5.894 + t^6.106 + t^6.439 + 2*t^6.544 + 4*t^6.65 + 7*t^6.756 + 7*t^6.862 + 8*t^6.967 + 10*t^7.073 + 5*t^7.179 + 2*t^7.285 + 2*t^7.39 + t^7.496 + t^7.602 + t^7.707 + 2*t^7.829 + 4*t^7.935 + 6*t^8.041 + 2*t^8.146 - t^8.252 - 3*t^8.463 - 4*t^8.569 + t^8.585 - t^8.675 + 2*t^8.691 + 4*t^8.796 + 7*t^8.902 - t^4.179/y - t^6.325/y - (2*t^6.431)/y - t^6.537/y - t^6.748/y + (2*t^7.398)/y + (2*t^7.504)/y + (4*t^7.61)/y + (3*t^7.715)/y + (4*t^7.821)/y + (3*t^7.927)/y + (2*t^8.033)/y - t^8.471/y - (2*t^8.577)/y - (2*t^8.683)/y + (3*t^8.789)/y + (2*t^8.894)/y - t^4.179*y - t^6.325*y - 2*t^6.431*y - t^6.537*y - t^6.748*y + 2*t^7.398*y + 2*t^7.504*y + 4*t^7.61*y + 3*t^7.715*y + 4*t^7.821*y + 3*t^7.927*y + 2*t^8.033*y - t^8.471*y - 2*t^8.577*y - 2*t^8.683*y + 3*t^8.789*y + 2*t^8.894*y	t^2.146/g1^24 + (2*t^2.252)/g1^14 + t^2.358/g1^4 + g1^6*t^2.463 + g1^16*t^2.569 + (2*t^3.537)/g1^6 + g1^4*t^3.642 + t^4.293/g1^48 + (2*t^4.398)/g1^38 + (4*t^4.504)/g1^28 + (3*t^4.61)/g1^18 + (4*t^4.715)/g1^8 + 4*g1^2*t^4.821 + 2*g1^12*t^4.927 + g1^22*t^5.033 + g1^32*t^5.138 + (2*t^5.683)/g1^30 + (4*t^5.789)/g1^20 + (2*t^5.894)/g1^10 + g1^10*t^6.106 + t^6.439/g1^72 + (2*t^6.544)/g1^62 + (4*t^6.65)/g1^52 + (7*t^6.756)/g1^42 + (7*t^6.862)/g1^32 + (8*t^6.967)/g1^22 + (10*t^7.073)/g1^12 + (5*t^7.179)/g1^2 + 2*g1^8*t^7.285 + 2*g1^18*t^7.39 + g1^28*t^7.496 + g1^38*t^7.602 + g1^48*t^7.707 + (2*t^7.829)/g1^54 + (4*t^7.935)/g1^44 + (6*t^8.041)/g1^34 + (2*t^8.146)/g1^24 - t^8.252/g1^14 - 3*g1^6*t^8.463 - 4*g1^16*t^8.569 + t^8.585/g1^96 - g1^26*t^8.675 + (2*t^8.691)/g1^86 + (4*t^8.796)/g1^76 + (7*t^8.902)/g1^66 - t^4.179/(g1^2*y) - t^6.325/(g1^26*y) - (2*t^6.431)/(g1^16*y) - t^6.537/(g1^6*y) - (g1^14*t^6.748)/y + (2*t^7.398)/(g1^38*y) + (2*t^7.504)/(g1^28*y) + (4*t^7.61)/(g1^18*y) + (3*t^7.715)/(g1^8*y) + (4*g1^2*t^7.821)/y + (3*g1^12*t^7.927)/y + (2*g1^22*t^8.033)/y - t^8.471/(g1^50*y) - (2*t^8.577)/(g1^40*y) - (2*t^8.683)/(g1^30*y) + (3*t^8.789)/(g1^20*y) + (2*t^8.894)/(g1^10*y) - (t^4.179*y)/g1^2 - (t^6.325*y)/g1^26 - (2*t^6.431*y)/g1^16 - (t^6.537*y)/g1^6 - g1^14*t^6.748*y + (2*t^7.398*y)/g1^38 + (2*t^7.504*y)/g1^28 + (4*t^7.61*y)/g1^18 + (3*t^7.715*y)/g1^8 + 4*g1^2*t^7.821*y + 3*g1^12*t^7.927*y + 2*g1^22*t^8.033*y - (t^8.471*y)/g1^50 - (2*t^8.577*y)/g1^40 - (2*t^8.683*y)/g1^30 + (3*t^8.789*y)/g1^20 + (2*t^8.894*y)/g1^10

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
3044	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$	0.5874	0.728	0.8068	[X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]]	t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y	detail	{a: 1203/2048, c: 1491/2048, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, M6: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12}

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
743	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6499	0.8145	0.7979	[M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]]	t^2.195 + t^2.281 + t^2.366 + t^2.451 + t^2.536 + 2*t^3.549 + t^3.634 + t^3.719 + t^4.391 + t^4.476 + 2*t^4.561 + 2*t^4.646 + 3*t^4.732 + 3*t^4.817 + 2*t^4.902 + t^4.988 + t^5.073 + 2*t^5.744 + 2*t^5.829 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y	detail