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
56033	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$	0.6995	0.8591	0.8142	[M:[1.0644, 0.9785, 0.9356, 0.9785, 1.0215, 0.9356, 0.9785], q:[0.4893, 0.4464], qb:[0.5322, 0.5751], phi:[0.4893]]	[M:[[6], [-2], [-6], [-2], [2], [-6], [-2]], q:[[-1], [-5]], qb:[[3], [7]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$	${}$	-4	2*t^2.807 + 4*t^2.936 + t^3.322 + t^4.146 + t^4.275 + 2*t^4.403 + 2*t^4.532 + 2*t^4.661 + t^4.79 + t^4.918 + 2*t^5.614 + 6*t^5.743 + 7*t^5.871 - 4*t^6. - 2*t^6.129 + 2*t^6.257 - t^6.386 + t^6.644 + 2*t^6.953 + 5*t^7.082 + 4*t^7.21 + 6*t^7.339 + 5*t^7.468 + 3*t^7.597 + t^7.725 + 2*t^7.854 + t^8.112 + t^8.24 + t^8.292 + 3*t^8.421 + 7*t^8.549 + 11*t^8.678 + 7*t^8.807 - 14*t^8.936 - t^4.468/y - t^7.275/y - (3*t^7.403)/y + (3*t^7.532)/y + t^7.661/y + t^8.614/y + (8*t^8.743)/y + (6*t^8.871)/y - t^4.468*y - t^7.275*y - 3*t^7.403*y + 3*t^7.532*y + t^7.661*y + t^8.614*y + 8*t^8.743*y + 6*t^8.871*y	(2*t^2.807)/g1^6 + (4*t^2.936)/g1^2 + g1^10*t^3.322 + t^4.146/g1^11 + t^4.275/g1^7 + (2*t^4.403)/g1^3 + 2*g1*t^4.532 + 2*g1^5*t^4.661 + g1^9*t^4.79 + g1^13*t^4.918 + (2*t^5.614)/g1^12 + (6*t^5.743)/g1^8 + (7*t^5.871)/g1^4 - 4*t^6. - 2*g1^4*t^6.129 + 2*g1^8*t^6.257 - g1^12*t^6.386 + g1^20*t^6.644 + (2*t^6.953)/g1^17 + (5*t^7.082)/g1^13 + (4*t^7.21)/g1^9 + (6*t^7.339)/g1^5 + (5*t^7.468)/g1 + 3*g1^3*t^7.597 + g1^7*t^7.725 + 2*g1^11*t^7.854 + g1^19*t^8.112 + g1^23*t^8.24 + t^8.292/g1^22 + (3*t^8.421)/g1^18 + (7*t^8.549)/g1^14 + (11*t^8.678)/g1^10 + (7*t^8.807)/g1^6 - (14*t^8.936)/g1^2 - t^4.468/(g1*y) - t^7.275/(g1^7*y) - (3*t^7.403)/(g1^3*y) + (3*g1*t^7.532)/y + (g1^5*t^7.661)/y + t^8.614/(g1^12*y) + (8*t^8.743)/(g1^8*y) + (6*t^8.871)/(g1^4*y) - (t^4.468*y)/g1 - (t^7.275*y)/g1^7 - (3*t^7.403*y)/g1^3 + 3*g1*t^7.532*y + g1^5*t^7.661*y + (t^8.614*y)/g1^12 + (8*t^8.743*y)/g1^8 + (6*t^8.871*y)/g1^4

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
58123	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$	0.7115	0.8827	0.806	[M:[1.0957, 0.9681, 0.9043, 0.9681, 1.0319, 0.9043, 0.9681, 0.8405], q:[0.4841, 0.4203], qb:[0.5478, 0.6116], phi:[0.4841]]	t^2.522 + 2*t^2.713 + 4*t^2.904 + t^3.974 + t^4.165 + 2*t^4.356 + 2*t^4.548 + 2*t^4.739 + t^4.931 + t^5.043 + t^5.122 + 2*t^5.235 + 6*t^5.426 + 6*t^5.617 + 7*t^5.809 - 4*t^6. - t^4.452/y - t^4.452*y	detail
58121	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6473	0.8156	0.7937	[M:[1.2308, 0.9231, 0.7692, 0.9231, 1.0769, 0.7692, 0.9231], q:[0.4615, 0.3077], qb:[0.6154, 0.7692], phi:[0.4615]]	2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 8*t^5.077 + 10*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 22755/35152, c: 14335/17576, M1: 16/13, M2: 12/13, M3: 10/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 12/13, q1: 6/13, q2: 4/13, qb1: 8/13, qb2: 10/13, phi1: 6/13}

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
50938	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$	0.6977	0.8557	0.8153	[M:[1.0564, 0.9812, 0.9436, 0.9812, 1.0188, 0.9436], q:[0.4906, 0.453], qb:[0.5282, 0.5658], phi:[0.4906]]	2*t^2.831 + 3*t^2.944 + t^3.056 + t^3.282 + t^4.19 + t^4.303 + 2*t^4.415 + 2*t^4.528 + 2*t^4.641 + t^4.754 + t^4.866 + 2*t^5.662 + 4*t^5.775 + 5*t^5.887 - t^6. - t^4.472/y - t^4.472*y	detail