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
3017	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6793	0.8839	0.7685	[M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7732, 0.7732, 0.6804], q:[0.75, 0.4098], qb:[0.3634, 0.4768], phi:[0.5]]	[M:[[2], [1], [-2], [-1], [-2], [-2], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}M_{4}q_{1}\tilde{q}_{1}$	-1	t^2.041 + 3*t^2.32 + t^2.521 + t^2.66 + t^3. + t^3.34 + t^3.479 + t^3.82 + t^4.021 + t^4.083 + t^4.16 + 4*t^4.361 + t^4.562 + 6*t^4.639 + t^4.701 + 3*t^4.84 + 3*t^4.979 + 2*t^5.041 + t^5.18 + 4*t^5.32 + t^5.382 + 2*t^5.521 + 3*t^5.66 + 2*t^5.799 + t^5.861 - t^6. + t^6.062 + t^6.124 + 3*t^6.139 + 2*t^6.34 + 4*t^6.402 + 3*t^6.479 + t^6.541 + t^6.603 + 9*t^6.68 + t^6.742 + t^6.82 + 4*t^6.882 + 10*t^6.959 + 3*t^7.021 + 2*t^7.083 + 4*t^7.16 + t^7.222 + 5*t^7.299 + 6*t^7.361 + t^7.423 + t^7.5 + 3*t^7.562 + 8*t^7.639 + 3*t^7.701 + 4*t^7.84 + t^7.902 + 6*t^7.979 + t^8.103 + 3*t^8.118 + t^8.165 + 3*t^8.18 - 4*t^8.32 + 3*t^8.382 + 4*t^8.443 + 5*t^8.459 - t^8.521 + t^8.583 + t^8.645 + 9*t^8.722 + t^8.784 + 5*t^8.799 + t^8.861 + 4*t^8.923 - t^4.5/y - t^6.541/y - (2*t^6.82)/y + (3*t^7.361)/y + t^7.562/y + (3*t^7.639)/y + t^7.701/y + (3*t^7.84)/y + (3*t^7.979)/y + t^8.041/y + (3*t^8.18)/y + (3*t^8.32)/y + t^8.382/y + t^8.459/y + (2*t^8.521)/y - t^8.583/y + (4*t^8.66)/y + (3*t^8.799)/y - t^4.5*y - t^6.541*y - 2*t^6.82*y + 3*t^7.361*y + t^7.562*y + 3*t^7.639*y + t^7.701*y + 3*t^7.84*y + 3*t^7.979*y + t^8.041*y + 3*t^8.18*y + 3*t^8.32*y + t^8.382*y + t^8.459*y + 2*t^8.521*y - t^8.583*y + 4*t^8.66*y + 3*t^8.799*y	g1^6*t^2.041 + (3*t^2.32)/g1^2 + g1^3*t^2.521 + t^2.66/g1 + t^3. + g1*t^3.34 + t^3.479/g1^3 + t^3.82/g1^2 + g1^3*t^4.021 + g1^12*t^4.083 + t^4.16/g1 + 4*g1^4*t^4.361 + g1^9*t^4.562 + (6*t^4.639)/g1^4 + g1^5*t^4.701 + 3*g1*t^4.84 + (3*t^4.979)/g1^3 + 2*g1^6*t^5.041 + g1^2*t^5.18 + (4*t^5.32)/g1^2 + g1^7*t^5.382 + 2*g1^3*t^5.521 + (3*t^5.66)/g1 + (2*t^5.799)/g1^5 + g1^4*t^5.861 - t^6. + g1^9*t^6.062 + g1^18*t^6.124 + (3*t^6.139)/g1^4 + 2*g1*t^6.34 + 4*g1^10*t^6.402 + (3*t^6.479)/g1^3 + g1^6*t^6.541 + g1^15*t^6.603 + 9*g1^2*t^6.68 + g1^11*t^6.742 + t^6.82/g1^2 + 4*g1^7*t^6.882 + (10*t^6.959)/g1^6 + 3*g1^3*t^7.021 + 2*g1^12*t^7.083 + (4*t^7.16)/g1 + g1^8*t^7.222 + (5*t^7.299)/g1^5 + 6*g1^4*t^7.361 + g1^13*t^7.423 + t^7.5 + 3*g1^9*t^7.562 + (8*t^7.639)/g1^4 + 3*g1^5*t^7.701 + 4*g1*t^7.84 + g1^10*t^7.902 + (6*t^7.979)/g1^3 + g1^15*t^8.103 + (3*t^8.118)/g1^7 + g1^24*t^8.165 + 3*g1^2*t^8.18 - (4*t^8.32)/g1^2 + 3*g1^7*t^8.382 + 4*g1^16*t^8.443 + (5*t^8.459)/g1^6 - g1^3*t^8.521 + g1^12*t^8.583 + g1^21*t^8.645 + 9*g1^8*t^8.722 + g1^17*t^8.784 + (5*t^8.799)/g1^5 + g1^4*t^8.861 + 4*g1^13*t^8.923 - t^4.5/y - (g1^6*t^6.541)/y - (2*t^6.82)/(g1^2*y) + (3*g1^4*t^7.361)/y + (g1^9*t^7.562)/y + (3*t^7.639)/(g1^4*y) + (g1^5*t^7.701)/y + (3*g1*t^7.84)/y + (3*t^7.979)/(g1^3*y) + (g1^6*t^8.041)/y + (3*g1^2*t^8.18)/y + (3*t^8.32)/(g1^2*y) + (g1^7*t^8.382)/y + t^8.459/(g1^6*y) + (2*g1^3*t^8.521)/y - (g1^12*t^8.583)/y + (4*t^8.66)/(g1*y) + (3*t^8.799)/(g1^5*y) - t^4.5*y - g1^6*t^6.541*y - (2*t^6.82*y)/g1^2 + 3*g1^4*t^7.361*y + g1^9*t^7.562*y + (3*t^7.639*y)/g1^4 + g1^5*t^7.701*y + 3*g1*t^7.84*y + (3*t^7.979*y)/g1^3 + g1^6*t^8.041*y + 3*g1^2*t^8.18*y + (3*t^8.32*y)/g1^2 + g1^7*t^8.382*y + (t^8.459*y)/g1^6 + 2*g1^3*t^8.521*y - g1^12*t^8.583*y + (4*t^8.66*y)/g1 + (3*t^8.799*y)/g1^5

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
4909	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6589	0.8598	0.7664	[M:[1.2857, 1.1429, 0.7143, 0.8571, 0.7143, 0.7143, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	3*t^2.143 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 7*t^4.714 + 3*t^4.929 + 6*t^5.143 + 4*t^5.357 + 5*t^5.571 + 5*t^5.786 - t^4.5/y - t^4.5*y	detail	{a: 57861/87808, c: 75501/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 6/7, M5: 5/7, M6: 5/7, M7: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}
4895	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6896	0.9011	0.7652	[M:[1.2302, 1.1151, 0.7698, 0.8849, 0.7698, 0.7698, 0.6905, 0.8849], q:[0.75, 0.4048], qb:[0.3651, 0.4802], phi:[0.5]]	t^2.071 + 3*t^2.31 + t^2.536 + 2*t^2.655 + t^3. + t^3.464 + t^3.81 + t^4.036 + t^4.143 + t^4.155 + 4*t^4.381 + t^4.607 + 6*t^4.619 + 2*t^4.726 + 3*t^4.845 + 6*t^4.964 + 2*t^5.071 + 2*t^5.19 + 6*t^5.31 + 2*t^5.536 + t^5.655 + 2*t^5.774 - 2*t^6. - t^4.5/y - t^4.5*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
1962	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6585	0.8435	0.7807	[M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]]	3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. - t^4.5/y - t^4.5*y	detail