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
3422	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$	0.6464	0.8383	0.771	[M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	[M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 56757/87808, c: 73613/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{6}q_{1}\tilde{q}_{1}$	0	3*t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 7*t^5.571 + 4*t^5.786 + 4*t^6.214 + 13*t^6.429 + t^6.643 + 10*t^6.857 + 6*t^7.071 + 8*t^7.286 + 6*t^7.5 + 15*t^7.714 + 7*t^7.929 + 9*t^8.357 + 19*t^8.571 + t^8.786 - t^4.5/y - (2*t^6.643)/y + (3*t^7.286)/y + (3*t^7.714)/y + (3*t^7.929)/y + (3*t^8.143)/y + (6*t^8.357)/y + (7*t^8.571)/y + (2*t^8.786)/y - t^4.5*y - 2*t^6.643*y + 3*t^7.286*y + 3*t^7.714*y + 3*t^7.929*y + 3*t^8.143*y + 6*t^8.357*y + 7*t^8.571*y + 2*t^8.786*y	3*t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 7*t^5.571 + 4*t^5.786 + 4*t^6.214 + 13*t^6.429 + t^6.643 + 10*t^6.857 + 6*t^7.071 + 8*t^7.286 + 6*t^7.5 + 15*t^7.714 + 7*t^7.929 + 9*t^8.357 + 19*t^8.571 + t^8.786 - t^4.5/y - (2*t^6.643)/y + (3*t^7.286)/y + (3*t^7.714)/y + (3*t^7.929)/y + (3*t^8.143)/y + (6*t^8.357)/y + (7*t^8.571)/y + (2*t^8.786)/y - t^4.5*y - 2*t^6.643*y + 3*t^7.286*y + 3*t^7.714*y + 3*t^7.929*y + 3*t^8.143*y + 6*t^8.357*y + 7*t^8.571*y + 2*t^8.786*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
5096	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$	0.6338	0.8168	0.7759	[M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571, 1.1429], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	3*t^2.143 + t^2.786 + t^3. + t^3.214 + 3*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + t^4.714 + 3*t^4.929 + 3*t^5.143 + 2*t^5.357 + 9*t^5.571 + 3*t^5.786 - 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 55653/87808, c: 71725/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, M7: 8/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}
5098	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.6637	0.8691	0.7637	[M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571, 0.7857], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	3*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^4.071 + 7*t^4.286 + 3*t^4.5 + 5*t^4.714 + 4*t^4.929 + 5*t^5.143 + 4*t^5.357 + 8*t^5.571 + 3*t^5.786 - t^4.5/y - t^4.5*y	detail	{a: 29139/43904, c: 38155/43904, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, M7: 11/14, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2}
5097	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$	0.653	0.8494	0.7687	[M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571, 0.9286], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]]	3*t^2.143 + t^2.571 + 2*t^2.786 + t^3. + 2*t^3.429 + t^3.643 + t^4.071 + 7*t^4.286 + 4*t^4.714 + 6*t^4.929 + 4*t^5.143 + t^5.357 + 9*t^5.571 + 4*t^5.786 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 7167/10976, c: 9323/10976, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, M7: 13/14, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, 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
2856	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6691	0.8669	0.7718	[M:[1.2235, 1.1117, 0.7765, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4148], qb:[0.3617, 0.4735], phi:[0.5]]	t^2.011 + 3*t^2.33 + t^2.506 + t^3. + 2*t^3.335 + t^3.494 + t^3.83 + t^4.006 + t^4.023 + t^4.165 + 4*t^4.341 + t^4.517 + 6*t^4.659 + 3*t^4.835 + 2*t^5.011 + 3*t^5.33 + 2*t^5.346 + 2*t^5.506 + 5*t^5.665 + 2*t^5.824 + 2*t^5.841 - 2*t^6. - t^4.5/y - t^4.5*y	detail