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
2265	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6891	0.8883	0.7758	[M:[1.172, 0.7346, 0.828, 0.828, 0.7346, 0.7813, 0.6878], q:[0.8047, 0.4608], qb:[0.3673, 0.8047], phi:[0.3907]]	[M:[[-6], [-14], [6], [6], [-14], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}\tilde{q}_{2}^{2}$	-1	t^2.064 + 2*t^2.204 + 2*t^2.344 + 2*t^2.484 + t^3.376 + t^3.516 + t^4.127 + 2*t^4.267 + 5*t^4.407 + 6*t^4.548 + 7*t^4.688 + 5*t^4.828 + 3*t^4.968 + t^5.439 + 3*t^5.579 + 3*t^5.72 + 2*t^5.86 - t^6. - 2*t^6.14 + t^6.191 - t^6.28 + 2*t^6.331 + 5*t^6.471 + 10*t^6.611 + 14*t^6.751 + 17*t^6.892 + 15*t^7.032 + 10*t^7.172 + 3*t^7.312 + t^7.452 + t^7.503 - t^7.593 + 3*t^7.643 + 6*t^7.783 + 7*t^7.923 + 4*t^8.064 - 3*t^8.204 + t^8.254 - 8*t^8.344 + 2*t^8.394 - 11*t^8.484 + 5*t^8.534 - 8*t^8.624 + 10*t^8.675 - 3*t^8.765 + 19*t^8.815 + 27*t^8.955 - t^4.172/y - t^6.235/y - (2*t^6.376)/y - (2*t^6.516)/y - t^6.656/y + (2*t^7.267)/y + (3*t^7.407)/y + (6*t^7.548)/y + (6*t^7.688)/y + (6*t^7.828)/y + (3*t^7.968)/y + t^8.108/y - t^8.299/y - t^8.439/y - (2*t^8.579)/y - t^8.72/y - t^8.86/y - t^4.172*y - t^6.235*y - 2*t^6.376*y - 2*t^6.516*y - t^6.656*y + 2*t^7.267*y + 3*t^7.407*y + 6*t^7.548*y + 6*t^7.688*y + 6*t^7.828*y + 3*t^7.968*y + t^8.108*y - t^8.299*y - t^8.439*y - 2*t^8.579*y - t^8.72*y - t^8.86*y	t^2.064/g1^24 + (2*t^2.204)/g1^14 + (2*t^2.344)/g1^4 + 2*g1^6*t^2.484 + t^3.376/g1^16 + t^3.516/g1^6 + t^4.127/g1^48 + (2*t^4.267)/g1^38 + (5*t^4.407)/g1^28 + (6*t^4.548)/g1^18 + (7*t^4.688)/g1^8 + 5*g1^2*t^4.828 + 3*g1^12*t^4.968 + t^5.439/g1^40 + (3*t^5.579)/g1^30 + (3*t^5.72)/g1^20 + (2*t^5.86)/g1^10 - t^6. - 2*g1^10*t^6.14 + t^6.191/g1^72 - g1^20*t^6.28 + (2*t^6.331)/g1^62 + (5*t^6.471)/g1^52 + (10*t^6.611)/g1^42 + (14*t^6.751)/g1^32 + (17*t^6.892)/g1^22 + (15*t^7.032)/g1^12 + (10*t^7.172)/g1^2 + 3*g1^8*t^7.312 + g1^18*t^7.452 + t^7.503/g1^64 - g1^28*t^7.593 + (3*t^7.643)/g1^54 + (6*t^7.783)/g1^44 + (7*t^7.923)/g1^34 + (4*t^8.064)/g1^24 - (3*t^8.204)/g1^14 + t^8.254/g1^96 - (8*t^8.344)/g1^4 + (2*t^8.394)/g1^86 - 11*g1^6*t^8.484 + (5*t^8.534)/g1^76 - 8*g1^16*t^8.624 + (10*t^8.675)/g1^66 - 3*g1^26*t^8.765 + (19*t^8.815)/g1^56 + (27*t^8.955)/g1^46 - t^4.172/(g1^2*y) - t^6.235/(g1^26*y) - (2*t^6.376)/(g1^16*y) - (2*t^6.516)/(g1^6*y) - (g1^4*t^6.656)/y + (2*t^7.267)/(g1^38*y) + (3*t^7.407)/(g1^28*y) + (6*t^7.548)/(g1^18*y) + (6*t^7.688)/(g1^8*y) + (6*g1^2*t^7.828)/y + (3*g1^12*t^7.968)/y + (g1^22*t^8.108)/y - t^8.299/(g1^50*y) - t^8.439/(g1^40*y) - (2*t^8.579)/(g1^30*y) - t^8.72/(g1^20*y) - t^8.86/(g1^10*y) - (t^4.172*y)/g1^2 - (t^6.235*y)/g1^26 - (2*t^6.376*y)/g1^16 - (2*t^6.516*y)/g1^6 - g1^4*t^6.656*y + (2*t^7.267*y)/g1^38 + (3*t^7.407*y)/g1^28 + (6*t^7.548*y)/g1^18 + (6*t^7.688*y)/g1^8 + 6*g1^2*t^7.828*y + 3*g1^12*t^7.968*y + g1^22*t^8.108*y - (t^8.299*y)/g1^50 - (t^8.439*y)/g1^40 - (2*t^8.579*y)/g1^30 - (t^8.72*y)/g1^20 - (t^8.86*y)/g1^10

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
4271	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$	0.598	0.7592	0.7877	[M:[1.2632, 0.9474, 0.7368, 0.7368, 0.9474, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]]	2*t^2.211 + 2*t^2.526 + 2*t^2.842 + t^3.158 + t^3.789 + t^4.105 + 3*t^4.421 + 5*t^4.737 + 7*t^5.053 + 5*t^5.368 + 3*t^5.684 + t^6. - t^4.263/y - t^4.263*y	detail	{a: 65625/109744, c: 41657/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 18/19, M6: 16/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19}
4270	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$	0.6208	0.7874	0.7883	[M:[1.25, 0.9167, 0.75, 0.75, 0.9167, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]]	2*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 7*t^5. + 6*t^5.25 + 4*t^5.5 - t^4.25/y - t^4.25*y	detail	{a: 1907/3072, c: 2419/3072, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 11/12, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12}
4267	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.7012	0.9062	0.7738	[M:[1.18, 0.7533, 0.82, 0.82, 0.7533, 0.7867, 0.72, 0.8534], q:[0.8033, 0.4434], qb:[0.3767, 0.8033], phi:[0.3933]]	t^2.16 + 2*t^2.26 + 2*t^2.36 + 2*t^2.46 + t^2.56 + t^3.54 + t^4.32 + 2*t^4.42 + 5*t^4.52 + 6*t^4.62 + 8*t^4.72 + 7*t^4.82 + 5*t^4.92 + 2*t^5.02 + t^5.12 + t^5.7 + t^5.8 - t^6. - t^4.18/y - t^4.18*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
1204	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	0.6685	0.8477	0.7886	[M:[1.1747, 0.7409, 0.8253, 0.8253, 0.7409, 0.7831], q:[0.8042, 0.4549], qb:[0.3704, 0.8042], phi:[0.3916]]	2*t^2.223 + 2*t^2.349 + 2*t^2.476 + t^3.397 + t^3.524 + t^3.904 + 3*t^4.445 + 4*t^4.572 + 7*t^4.699 + 5*t^4.825 + 3*t^4.952 + 2*t^5.62 + 3*t^5.747 + 2*t^5.873 - t^6. - t^4.175/y - t^4.175*y	detail