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
1985	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6696	0.8513	0.7866	[M:[1.1754, 0.7427, 0.8246, 0.8246, 0.7836, 0.7018], q:[0.8041, 0.4532], qb:[0.3714, 0.8041], phi:[0.3918]]	[M:[[-6], [-14], [6], [6], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}\tilde{q}_{2}^{2}$	0	t^2.105 + t^2.228 + 2*t^2.351 + 2*t^2.474 + t^3.404 + t^3.526 + t^3.772 + t^4.211 + t^4.333 + 3*t^4.456 + 4*t^4.579 + 5*t^4.702 + 5*t^4.825 + 3*t^4.947 + t^5.509 + 2*t^5.632 + 2*t^5.754 + 3*t^5.877 + t^6.246 + t^6.316 + t^6.439 + 3*t^6.562 + 5*t^6.684 + 8*t^6.807 + 10*t^6.93 + 10*t^7.053 + 8*t^7.175 + 4*t^7.298 + t^7.421 + t^7.614 + 2*t^7.737 + 3*t^7.86 + 5*t^7.983 + 3*t^8.105 + t^8.228 - 2*t^8.351 + t^8.421 - 5*t^8.474 + t^8.544 - 3*t^8.596 + 3*t^8.667 + 5*t^8.79 + 9*t^8.912 - t^4.175/y - t^6.281/y - t^6.404/y - (2*t^6.526)/y - t^6.649/y + t^7.333/y + (2*t^7.456)/y + (4*t^7.579)/y + (4*t^7.702)/y + (6*t^7.825)/y + (2*t^7.947)/y + t^8.07/y - t^8.386/y - t^8.632/y + t^8.877/y - t^4.175*y - t^6.281*y - t^6.404*y - 2*t^6.526*y - t^6.649*y + t^7.333*y + 2*t^7.456*y + 4*t^7.579*y + 4*t^7.702*y + 6*t^7.825*y + 2*t^7.947*y + t^8.07*y - t^8.386*y - t^8.632*y + t^8.877*y	t^2.105/g1^24 + t^2.228/g1^14 + (2*t^2.351)/g1^4 + 2*g1^6*t^2.474 + t^3.404/g1^16 + t^3.526/g1^6 + g1^14*t^3.772 + t^4.211/g1^48 + t^4.333/g1^38 + (3*t^4.456)/g1^28 + (4*t^4.579)/g1^18 + (5*t^4.702)/g1^8 + 5*g1^2*t^4.825 + 3*g1^12*t^4.947 + t^5.509/g1^40 + (2*t^5.632)/g1^30 + (2*t^5.754)/g1^20 + (3*t^5.877)/g1^10 + g1^20*t^6.246 + t^6.316/g1^72 + t^6.439/g1^62 + (3*t^6.562)/g1^52 + (5*t^6.684)/g1^42 + (8*t^6.807)/g1^32 + (10*t^6.93)/g1^22 + (10*t^7.053)/g1^12 + (8*t^7.175)/g1^2 + 4*g1^8*t^7.298 + g1^18*t^7.421 + t^7.614/g1^64 + (2*t^7.737)/g1^54 + (3*t^7.86)/g1^44 + (5*t^7.983)/g1^34 + (3*t^8.105)/g1^24 + t^8.228/g1^14 - (2*t^8.351)/g1^4 + t^8.421/g1^96 - 5*g1^6*t^8.474 + t^8.544/g1^86 - 3*g1^16*t^8.596 + (3*t^8.667)/g1^76 + (5*t^8.79)/g1^66 + (9*t^8.912)/g1^56 - t^4.175/(g1^2*y) - t^6.281/(g1^26*y) - t^6.404/(g1^16*y) - (2*t^6.526)/(g1^6*y) - (g1^4*t^6.649)/y + t^7.333/(g1^38*y) + (2*t^7.456)/(g1^28*y) + (4*t^7.579)/(g1^18*y) + (4*t^7.702)/(g1^8*y) + (6*g1^2*t^7.825)/y + (2*g1^12*t^7.947)/y + (g1^22*t^8.07)/y - t^8.386/(g1^50*y) - t^8.632/(g1^30*y) + t^8.877/(g1^10*y) - (t^4.175*y)/g1^2 - (t^6.281*y)/g1^26 - (t^6.404*y)/g1^16 - (2*t^6.526*y)/g1^6 - g1^4*t^6.649*y + (t^7.333*y)/g1^38 + (2*t^7.456*y)/g1^28 + (4*t^7.579*y)/g1^18 + (4*t^7.702*y)/g1^8 + 6*g1^2*t^7.825*y + 2*g1^12*t^7.947*y + g1^22*t^8.07*y - (t^8.386*y)/g1^50 - (t^8.632*y)/g1^30 + (t^8.877*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
3042	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$	0.5931	0.751	0.7897	[M:[1.2632, 0.9474, 0.7368, 0.7368, 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 + t^2.842 + 2*t^3.158 + t^3.789 + t^4.105 + 3*t^4.421 + 5*t^4.737 + 5*t^5.053 + 5*t^5.368 + 3*t^5.684 + t^6. - t^4.263/y - t^4.263*y	detail	{a: 4068/6859, c: 5151/6859, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 16/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19}
3041	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$	0.6131	0.7746	0.7916	[M:[1.25, 0.9167, 0.75, 0.75, 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 + t^2.75 + t^3. + t^3.25 + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 5*t^5. + 4*t^5.25 + 4*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y	detail	{a: 3767/6144, c: 4759/6144, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 5/6, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12}

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
740	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6493	0.8122	0.7994	[M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]]	t^2.264 + 2*t^2.361 + 2*t^2.458 + t^3.444 + t^3.542 + t^3.736 + t^3.834 + t^4.527 + 2*t^4.625 + 5*t^4.722 + 5*t^4.819 + 3*t^4.917 + t^5.708 + 2*t^5.805 + 2*t^5.903 - t^4.181/y - t^4.181*y	detail