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
721	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7112	0.8808	0.8074	[M:[1.0, 1.0, 1.0, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]]	[M:[[1], [0], [-1], [1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1	{a: 3903/5488, c: 2417/2744, M1: 1, M2: 1, M3: 1, M4: 5/7, M5: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$	${}M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$	-1	2*t^2.143 + t^2.571 + 3*t^3. + t^3.857 + 9*t^4.286 + 2*t^4.714 + 7*t^5.143 + 3*t^5.571 - t^6. + 14*t^6.429 + 8*t^6.857 + 18*t^7.286 + 2*t^7.714 - 2*t^8.143 + 28*t^8.571 - t^4.286/y - (2*t^6.429)/y - t^6.857/y + t^7.286/y + (3*t^7.714)/y + (8*t^8.143)/y - t^4.286*y - 2*t^6.429*y - t^6.857*y + t^7.286*y + 3*t^7.714*y + 8*t^8.143*y	t^2.143/g1 + g1*t^2.143 + t^2.571 + t^3. + t^3./g1 + g1*t^3. + t^3.857 + 3*t^4.286 + (2*t^4.286)/g1^2 + t^4.286/g1 + g1*t^4.286 + 2*g1^2*t^4.286 + t^4.714/g1 + g1*t^4.714 + 3*t^5.143 + t^5.143/g1^2 + t^5.143/g1 + g1*t^5.143 + g1^2*t^5.143 + t^5.571 + t^5.571/g1 + g1*t^5.571 - t^6. + 2*t^6.429 + (2*t^6.429)/g1^3 + t^6.429/g1^2 + (3*t^6.429)/g1 + 3*g1*t^6.429 + g1^2*t^6.429 + 2*g1^3*t^6.429 + 2*t^6.857 + (2*t^6.857)/g1^2 + t^6.857/g1 + g1*t^6.857 + 2*g1^2*t^6.857 + 2*t^7.286 + (2*t^7.286)/g1^3 + (2*t^7.286)/g1^2 + (4*t^7.286)/g1 + 4*g1*t^7.286 + 2*g1^2*t^7.286 + 2*g1^3*t^7.286 + 2*t^7.714 - t^8.143/g1 - g1*t^8.143 + 4*t^8.571 + (3*t^8.571)/g1^4 + (2*t^8.571)/g1^3 + (5*t^8.571)/g1^2 + (2*t^8.571)/g1 + 2*g1*t^8.571 + 5*g1^2*t^8.571 + 2*g1^3*t^8.571 + 3*g1^4*t^8.571 - t^4.286/y - t^6.429/(g1*y) - (g1*t^6.429)/y - t^6.857/y + t^7.286/y + t^7.714/y + t^7.714/(g1*y) + (g1*t^7.714)/y + (2*t^8.143)/y + t^8.143/(g1^2*y) + (2*t^8.143)/(g1*y) + (2*g1*t^8.143)/y + (g1^2*t^8.143)/y - t^8.571/(g1^2*y) + t^8.571/(g1*y) + (g1*t^8.571)/y - (g1^2*t^8.571)/y - t^4.286*y - (t^6.429*y)/g1 - g1*t^6.429*y - t^6.857*y + t^7.286*y + t^7.714*y + (t^7.714*y)/g1 + g1*t^7.714*y + 2*t^8.143*y + (t^8.143*y)/g1^2 + (2*t^8.143*y)/g1 + 2*g1*t^8.143*y + g1^2*t^8.143*y - (t^8.571*y)/g1^2 + (t^8.571*y)/g1 + g1*t^8.571*y - g1^2*t^8.571*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
1186	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$	0.7122	0.8832	0.8064	[M:[1.0215, 1.0, 0.9785, 0.7358, 0.6928, 0.9785], q:[0.7857, 0.4785], qb:[0.5, 0.5215], phi:[0.4286]]	t^2.078 + t^2.207 + t^2.571 + 2*t^2.935 + t^3. + t^3.857 + 2*t^4.157 + t^4.221 + 3*t^4.286 + t^4.35 + 2*t^4.415 + t^4.65 + t^4.779 + 2*t^5.014 + t^5.078 + 3*t^5.143 + t^5.207 + 2*t^5.507 + t^5.571 + 2*t^5.871 + t^5.935 - 2*t^6. - t^4.286/y - t^4.286*y	detail
1187	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.7314	0.9189	0.796	[M:[1.0, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]]	3*t^2.143 + t^2.571 + 3*t^3. + 12*t^4.286 + 3*t^4.714 + 10*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y	detail	{a: 2007/2744, c: 5043/5488, M1: 1, M2: 1, M3: 1, M4: 5/7, M5: 5/7, M6: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7}

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
432	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{1}q_{2}$	0.691	0.8432	0.8195	[M:[0.9936, 1.0, 1.0064, 0.7078], q:[0.7857, 0.5064], qb:[0.5, 0.4936], phi:[0.4286]]	t^2.124 + t^2.571 + t^2.981 + t^3. + t^3.019 + t^3.838 + t^3.857 + 2*t^4.247 + t^4.266 + 2*t^4.286 + t^4.305 + t^4.324 + t^4.695 + t^5.104 + t^5.124 + 2*t^5.143 + t^5.552 + t^5.571 + t^5.591 + t^5.961 - t^6. - t^4.286/y - t^4.286*y	detail