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
60665	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.0049	1.2236	0.8212	[X:[1.5, 1.5, 1.5, 1.5], M:[0.75, 0.75], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]]	[X:[[0, -1], [0, 0], [0, 0], [0, 1]], M:[[3, 1], [-3, -1]], q:[[-1, 0], [-1, -1]], qb:[[1, 1], [1, 0]], phi:[[0, 0]]]	2	{a: 1029/1024, c: 1253/1024, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, M1: 3/4, M2: 3/4, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	6	2*t^2.25 + 5*t^3. + 2*t^3.75 + 12*t^4.5 + 14*t^5.25 + 6*t^6. + 28*t^6.75 + 55*t^7.5 + 4*t^8.25 - t^4.5/y - t^6./y - (2*t^6.75)/y + (2*t^7.5)/y + (10*t^8.25)/y - t^4.5*y - t^6.*y - 2*t^6.75*y + 2*t^7.5*y + 10*t^8.25*y	t^2.25/(g1^3*g2) + g1^3*g2*t^2.25 + 3*t^3. + t^3./g2 + g2*t^3. + t^3.75/(g1^3*g2^2) + g1^3*g2^2*t^3.75 + 6*t^4.5 + t^4.5/(g1^6*g2^2) + (2*t^4.5)/g2 + 2*g2*t^4.5 + g1^6*g2^2*t^4.5 + t^5.25/g1^3 + g1^3*t^5.25 + (2*t^5.25)/(g1^3*g2^2) + (4*t^5.25)/(g1^3*g2) + 4*g1^3*g2*t^5.25 + 2*g1^3*g2^2*t^5.25 + t^6./(g1^6*g2^3) + t^6./g2^2 + t^6./g2 + g2*t^6. + g2^2*t^6. + g1^6*g2^3*t^6. + (3*t^6.75)/g1^3 + 3*g1^3*t^6.75 + t^6.75/(g1^9*g2^3) + (2*t^6.75)/(g1^3*g2^3) + (3*t^6.75)/(g1^3*g2^2) + (5*t^6.75)/(g1^3*g2) + 5*g1^3*g2*t^6.75 + 3*g1^3*g2^2*t^6.75 + 2*g1^3*g2^3*t^6.75 + g1^9*g2^3*t^6.75 + 17*t^7.5 + t^7.5/(g1^6*g2^4) + (2*t^7.5)/(g1^6*g2^3) + (2*t^7.5)/g2^2 + (4*t^7.5)/(g1^6*g2^2) + (9*t^7.5)/g2 + t^7.5/(g1^6*g2) + 9*g2*t^7.5 + g1^6*g2*t^7.5 + 2*g2^2*t^7.5 + 4*g1^6*g2^2*t^7.5 + 2*g1^6*g2^3*t^7.5 + g1^6*g2^4*t^7.5 - t^8.25/g1^3 - g1^3*t^8.25 + t^8.25/(g1^9*g2^4) + t^8.25/(g1^3*g2^3) + (2*t^8.25)/(g1^3*g2^2) - (2*t^8.25)/(g1^3*g2) + (g1^3*t^8.25)/g2 + (g2*t^8.25)/g1^3 - 2*g1^3*g2*t^8.25 + 2*g1^3*g2^2*t^8.25 + g1^3*g2^3*t^8.25 + g1^9*g2^4*t^8.25 - t^4.5/y - t^6./y - t^6.75/(g1^3*g2*y) - (g1^3*g2*t^6.75)/y + (2*t^7.5)/y + t^8.25/(g1^3*y) + (g1^3*t^8.25)/y + t^8.25/(g1^3*g2^2*y) + (3*t^8.25)/(g1^3*g2*y) + (3*g1^3*g2*t^8.25)/y + (g1^3*g2^2*t^8.25)/y - t^4.5*y - t^6.*y - (t^6.75*y)/(g1^3*g2) - g1^3*g2*t^6.75*y + 2*t^7.5*y + (t^8.25*y)/g1^3 + g1^3*t^8.25*y + (t^8.25*y)/(g1^3*g2^2) + (3*t^8.25*y)/(g1^3*g2) + 3*g1^3*g2*t^8.25*y + g1^3*g2^2*t^8.25*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
57730	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$	0.9863	1.1908	0.8283	[X:[1.4926, 1.5, 1.5, 1.5074], M:[0.7278], q:[0.2599, 0.2525], qb:[0.2475, 0.2401], phi:[0.5]]	t^2.18 + t^2.98 + 3*t^3. + t^3.02 + t^3.68 + t^3.71 + t^3.79 + t^4.37 + 2*t^4.48 + 5*t^4.5 + 2*t^4.52 + t^5.16 + 4*t^5.18 + 2*t^5.21 + t^5.29 + t^5.32 + t^5.87 + t^5.89 + t^5.96 + t^5.98 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail