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
57742	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$	0.9862	1.1906	0.8284	[X:[1.5, 1.5, 1.5, 1.5], M:[0.7307], q:[0.2564, 0.2564], qb:[0.2436, 0.2436], phi:[0.5]]	[X:[[0, -1], [0, -1], [0, 1], [0, 1]], M:[[3, 3]], q:[[-1, -1], [-1, -1]], qb:[[1, 2], [1, 0]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }X_{4}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	3	t^2.19 + 5*t^3. + 2*t^3.69 + t^3.81 + t^4.38 + 9*t^4.5 + 7*t^5.19 + 2*t^5.31 + 2*t^5.88 + 3*t^6. + t^6.58 + 17*t^6.69 + 3*t^6.81 + 10*t^7.38 + 33*t^7.5 + t^7.62 + 2*t^8.08 + 9*t^8.19 - 3*t^8.31 + t^8.77 + 21*t^8.88 - t^4.5/y - t^6./y - t^6.69/y + t^7.5/y + (4*t^8.19)/y + t^8.31/y + t^8.88/y - t^4.5*y - t^6.*y - t^6.69*y + t^7.5*y + 4*t^8.19*y + t^8.31*y + t^8.88*y	g1^3*g2^3*t^2.19 + t^3. + (2*t^3.)/g2 + 2*g2*t^3. + g1^3*g2^2*t^3.69 + g1^3*g2^4*t^3.69 + t^3.81/(g1^3*g2^3) + g1^6*g2^6*t^4.38 + t^4.5 + (4*t^4.5)/g2 + 4*g2*t^4.5 + 3*g1^3*g2^2*t^5.19 + g1^3*g2^3*t^5.19 + 3*g1^3*g2^4*t^5.19 + (2*t^5.31)/(g1^3*g2^3) + g1^6*g2^5*t^5.88 + g1^6*g2^7*t^5.88 - t^6. + (2*t^6.)/g2^2 + 2*g2^2*t^6. + g1^9*g2^9*t^6.58 + g1^3*t^6.69 + 2*g1^3*g2*t^6.69 + 5*g1^3*g2^2*t^6.69 + g1^3*g2^3*t^6.69 + 5*g1^3*g2^4*t^6.69 + 2*g1^3*g2^5*t^6.69 + g1^3*g2^6*t^6.69 + (3*t^6.81)/(g1^3*g2^3) + g1^6*g2^4*t^7.38 + 3*g1^6*g2^5*t^7.38 + 2*g1^6*g2^6*t^7.38 + 3*g1^6*g2^7*t^7.38 + g1^6*g2^8*t^7.38 + 13*t^7.5 + (7*t^7.5)/g2^2 + (3*t^7.5)/g2 + 3*g2*t^7.5 + 7*g2^2*t^7.5 + t^7.62/(g1^6*g2^6) + g1^9*g2^8*t^8.08 + g1^9*g2^10*t^8.08 - g1^3*t^8.19 + 4*g1^3*g2*t^8.19 + 3*g1^3*g2^3*t^8.19 + 4*g1^3*g2^5*t^8.19 - g1^3*g2^6*t^8.19 - (3*t^8.31)/(g1^3*g2^3) + g1^12*g2^12*t^8.77 + g1^6*g2^3*t^8.88 + 3*g1^6*g2^4*t^8.88 + 5*g1^6*g2^5*t^8.88 + 3*g1^6*g2^6*t^8.88 + 5*g1^6*g2^7*t^8.88 + 3*g1^6*g2^8*t^8.88 + g1^6*g2^9*t^8.88 - t^4.5/y - t^6./y - (g1^3*g2^3*t^6.69)/y + t^7.5/y + (2*g1^3*g2^2*t^8.19)/y + (2*g1^3*g2^4*t^8.19)/y + t^8.31/(g1^3*g2^3*y) + (g1^6*g2^5*t^8.88)/y - (g1^6*g2^6*t^8.88)/y + (g1^6*g2^7*t^8.88)/y - t^4.5*y - t^6.*y - g1^3*g2^3*t^6.69*y + t^7.5*y + 2*g1^3*g2^2*t^8.19*y + 2*g1^3*g2^4*t^8.19*y + (t^8.31*y)/(g1^3*g2^3) + g1^6*g2^5*t^8.88*y - g1^6*g2^6*t^8.88*y + g1^6*g2^7*t^8.88*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
58620	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.9859	1.1891	0.8291	[X:[1.4957, 1.4957, 1.5043, 1.5043], M:[0.7478], q:[0.2507, 0.2507], qb:[0.2536, 0.245], phi:[0.5]]	t^2.24 + 2*t^2.99 + t^3. + 2*t^3.01 + t^3.73 + 2*t^3.76 + 5*t^4.49 + t^4.5 + 4*t^4.51 + 3*t^5.23 + t^5.24 + 5*t^5.26 + 3*t^5.97 - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
47941	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$	0.9864	1.191	0.8281	[X:[1.4928, 1.5072, 1.4928, 1.5072], M:[0.725], q:[0.2631, 0.2487], qb:[0.2441, 0.2441], phi:[0.5]]	t^2.175 + 2*t^2.978 + t^3. + 2*t^3.022 + 2*t^3.697 + t^3.782 + t^4.35 + 4*t^4.478 + t^4.5 + 4*t^4.522 + 2*t^5.153 + t^5.175 + 4*t^5.197 + t^5.282 + t^5.325 + 2*t^5.872 + 3*t^5.957 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail