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
404	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$	0.525	0.6875	0.7636	[M:[0.9, 1.2, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]]	[M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 21/40, c: 11/16, M1: 9/10, M2: 6/5, M3: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1	2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. + 6*t^6.3 + 5*t^6.6 + 8*t^6.9 + 6*t^7.2 + 6*t^7.5 + 9*t^7.8 + 2*t^8.1 + 7*t^8.4 + 4*t^8.7 - t^4.5/y + (2*t^7.5)/y + (5*t^7.8)/y + (4*t^8.1)/y + (2*t^8.4)/y + (6*t^8.7)/y - t^4.5*y + 2*t^7.5*y + 5*t^7.8*y + 4*t^8.1*y + 2*t^8.4*y + 6*t^8.7*y	2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. + 6*t^6.3 + 5*t^6.6 + 8*t^6.9 + 6*t^7.2 + 6*t^7.5 + 9*t^7.8 + 2*t^8.1 + 7*t^8.4 + 4*t^8.7 - t^4.5/y + (2*t^7.5)/y + (5*t^7.8)/y + (4*t^8.1)/y + (2*t^8.4)/y + (6*t^8.7)/y - t^4.5*y + 2*t^7.5*y + 5*t^7.8*y + 4*t^8.1*y + 2*t^8.4*y + 6*t^8.7*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
656	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}M_{4}$	0.5159	0.6722	0.7675	[M:[0.9, 1.2, 0.8, 1.1], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]]	2*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 4*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 16509/32000, c: 21509/32000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 11/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2}
657	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{4}$	0.5415	0.7165	0.7558	[M:[0.9, 1.2, 0.8, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]]	2*t^2.1 + 2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^3.9 + 3*t^4.2 + 4*t^4.5 + 8*t^4.8 + 6*t^5.1 + 4*t^5.4 + 2*t^5.7 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 1083/2000, c: 1433/2000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2}
1844	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$	0.5455	0.7268	0.7506	[M:[0.9, 1.2, 0.8, 0.7], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]]	3*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 6*t^4.2 + 3*t^4.5 + 8*t^4.8 + 5*t^5.1 + 3*t^5.4 + 6*t^5.7 - t^4.5/y - t^4.5*y	detail	{a: 17457/32000, c: 23257/32000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 7/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2}

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
253	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6567	0.8429	0.7791	[M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]]	t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 - t^4.5/y - t^4.5*y	detail