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 =

Search for theories with rational R-charges and central 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
55203	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6492	0.8174	0.7943	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7397, 0.7698], q:[0.4302, 0.3698], qb:[0.8, 0.8], phi:[0.4]]	[X:[[0]], M:[[0], [0], [0], [0], [2], [1]], q:[[-1], [1]], qb:[[0], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	-2	t^2.219 + t^2.309 + 3*t^2.4 + t^3.419 + 2*t^3.509 + t^3.691 + t^4.438 + t^4.528 + 4*t^4.619 + 3*t^4.709 + 7*t^4.8 + t^5.638 + 3*t^5.728 + 4*t^5.819 + 5*t^5.909 - 2*t^6. + t^6.091 - t^6.181 + t^6.657 + t^6.747 + 5*t^6.838 + 6*t^6.928 + 11*t^7.019 + 4*t^7.109 + 10*t^7.2 - 4*t^7.291 - t^7.381 + t^7.857 + 3*t^7.947 + 5*t^8.038 + 9*t^8.128 + 5*t^8.219 + 5*t^8.309 - 10*t^8.4 - 2*t^8.491 - 4*t^8.581 + t^8.876 + t^8.966 - t^4.2/y - t^6.419/y - t^6.509/y - (2*t^6.6)/y + t^7.528/y + (3*t^7.619)/y + (3*t^7.709)/y + (5*t^7.8)/y + t^7.891/y + t^7.981/y + (2*t^8.728)/y + (2*t^8.819)/y + (5*t^8.909)/y - t^4.2*y - t^6.419*y - t^6.509*y - 2*t^6.6*y + t^7.528*y + 3*t^7.619*y + 3*t^7.709*y + 5*t^7.8*y + t^7.891*y + t^7.981*y + 2*t^8.728*y + 2*t^8.819*y + 5*t^8.909*y	g1^2*t^2.219 + g1*t^2.309 + 3*t^2.4 + g1^2*t^3.419 + 2*g1*t^3.509 + t^3.691/g1 + g1^4*t^4.438 + g1^3*t^4.528 + 4*g1^2*t^4.619 + 3*g1*t^4.709 + 7*t^4.8 + g1^4*t^5.638 + 3*g1^3*t^5.728 + 4*g1^2*t^5.819 + 5*g1*t^5.909 - 2*t^6. + t^6.091/g1 - t^6.181/g1^2 + g1^6*t^6.657 + g1^5*t^6.747 + 5*g1^4*t^6.838 + 6*g1^3*t^6.928 + 11*g1^2*t^7.019 + 4*g1*t^7.109 + 10*t^7.2 - (4*t^7.291)/g1 - t^7.381/g1^2 + g1^6*t^7.857 + 3*g1^5*t^7.947 + 5*g1^4*t^8.038 + 9*g1^3*t^8.128 + 5*g1^2*t^8.219 + 5*g1*t^8.309 - 10*t^8.4 - (2*t^8.491)/g1 - (4*t^8.581)/g1^2 + g1^8*t^8.876 + g1^7*t^8.966 - t^4.2/y - (g1^2*t^6.419)/y - (g1*t^6.509)/y - (2*t^6.6)/y + (g1^3*t^7.528)/y + (3*g1^2*t^7.619)/y + (3*g1*t^7.709)/y + (5*t^7.8)/y + t^7.891/(g1*y) + t^7.981/(g1^2*y) + (2*g1^3*t^8.728)/y + (2*g1^2*t^8.819)/y + (5*g1*t^8.909)/y - t^4.2*y - g1^2*t^6.419*y - g1*t^6.509*y - 2*t^6.6*y + g1^3*t^7.528*y + 3*g1^2*t^7.619*y + 3*g1*t^7.709*y + 5*t^7.8*y + (t^7.891*y)/g1 + (t^7.981*y)/g1^2 + 2*g1^3*t^8.728*y + 2*g1^2*t^8.819*y + 5*g1*t^8.909*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

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
47063	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6499	0.8195	0.7931	[X:[1.6], M:[1.2, 0.4, 0.8, 0.8, 0.7434, 0.7434], q:[0.4283, 0.3717], qb:[0.8283, 0.7717], phi:[0.4]]	2*t^2.23 + 3*t^2.4 + 2*t^3.43 + 2*t^3.6 + 3*t^4.46 + 6*t^4.63 + 7*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*y	detail