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
56623	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$	0.7131	0.9119	0.782	[M:[1.182, 0.9981, 0.818, 0.818, 0.728, 0.728, 0.818], q:[0.409, 0.409], qb:[0.5929, 0.773], phi:[0.454]]	[M:[[2], [-22], [-2], [-2], [8], [8], [-2]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]]	1	{a: 26566873/37255728, c: 16985839/18627864, M1: 3124/2643, M2: 2638/2643, M3: 2162/2643, M4: 2162/2643, M5: 1924/2643, M6: 1924/2643, M7: 2162/2643, q1: 1081/2643, q2: 1081/2643, qb1: 1567/2643, qb2: 681/881, phi1: 400/881}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$	${}M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$	-2	2*t^2.184 + 3*t^2.454 + t^2.724 + t^2.994 + t^3.006 + t^3.816 + t^4.098 + 5*t^4.368 + 6*t^4.638 + 8*t^4.908 + t^4.919 + 5*t^5.178 + 2*t^5.19 + 2*t^5.448 + 3*t^5.46 + t^5.719 + t^5.73 + t^5.989 - 2*t^6. + t^6.011 + t^6.27 + 2*t^6.281 + 8*t^6.552 - t^6.81 + 14*t^6.822 + 13*t^7.092 + 3*t^7.103 + 15*t^7.362 + 7*t^7.373 + 10*t^7.632 + 5*t^7.644 + 5*t^7.902 + 4*t^7.914 + t^7.925 + 4*t^8.173 - 4*t^8.184 + 2*t^8.195 + 3*t^8.443 - 11*t^8.454 + 6*t^8.465 + t^8.713 - 4*t^8.724 + 12*t^8.736 + t^8.983 - 5*t^8.994 - t^4.362/y - (2*t^6.546)/y - (2*t^6.816)/y - t^7.086/y - t^7.356/y + (2*t^7.368)/y + (7*t^7.638)/y + (7*t^7.908)/y + (7*t^8.178)/y + (2*t^8.19)/y + (3*t^8.448)/y + (3*t^8.46)/y + t^8.719/y - (2*t^8.73)/y - t^4.362*y - 2*t^6.546*y - 2*t^6.816*y - t^7.086*y - t^7.356*y + 2*t^7.368*y + 7*t^7.638*y + 7*t^7.908*y + 7*t^8.178*y + 2*t^8.19*y + 3*t^8.448*y + 3*t^8.46*y + t^8.719*y - 2*t^8.73*y	2*g1^8*t^2.184 + (3*t^2.454)/g1^2 + t^2.724/g1^12 + t^2.994/g1^22 + g1^22*t^3.006 + t^3.816/g1^8 + g1^26*t^4.098 + 5*g1^16*t^4.368 + 6*g1^6*t^4.638 + (8*t^4.908)/g1^4 + g1^40*t^4.919 + (5*t^5.178)/g1^14 + 2*g1^30*t^5.19 + (2*t^5.448)/g1^24 + 3*g1^20*t^5.46 + t^5.719/g1^34 + g1^10*t^5.73 + t^5.989/g1^44 - 2*t^6. + g1^44*t^6.011 + t^6.27/g1^10 + 2*g1^34*t^6.281 + 8*g1^24*t^6.552 - t^6.81/g1^30 + 14*g1^14*t^6.822 + 13*g1^4*t^7.092 + 3*g1^48*t^7.103 + (15*t^7.362)/g1^6 + 7*g1^38*t^7.373 + (10*t^7.632)/g1^16 + 5*g1^28*t^7.644 + (5*t^7.902)/g1^26 + 4*g1^18*t^7.914 + g1^62*t^7.925 + (4*t^8.173)/g1^36 - 4*g1^8*t^8.184 + 2*g1^52*t^8.195 + (3*t^8.443)/g1^46 - (11*t^8.454)/g1^2 + 6*g1^42*t^8.465 + t^8.713/g1^56 - (4*t^8.724)/g1^12 + 12*g1^32*t^8.736 + t^8.983/g1^66 - (5*t^8.994)/g1^22 - t^4.362/(g1^6*y) - (2*g1^2*t^6.546)/y - (2*t^6.816)/(g1^8*y) - t^7.086/(g1^18*y) - t^7.356/(g1^28*y) + (2*g1^16*t^7.368)/y + (7*g1^6*t^7.638)/y + (7*t^7.908)/(g1^4*y) + (7*t^8.178)/(g1^14*y) + (2*g1^30*t^8.19)/y + (3*t^8.448)/(g1^24*y) + (3*g1^20*t^8.46)/y + t^8.719/(g1^34*y) - (2*g1^10*t^8.73)/y - (t^4.362*y)/g1^6 - 2*g1^2*t^6.546*y - (2*t^6.816*y)/g1^8 - (t^7.086*y)/g1^18 - (t^7.356*y)/g1^28 + 2*g1^16*t^7.368*y + 7*g1^6*t^7.638*y + (7*t^7.908*y)/g1^4 + (7*t^8.178*y)/g1^14 + 2*g1^30*t^8.19*y + (3*t^8.448*y)/g1^24 + 3*g1^20*t^8.46*y + (t^8.719*y)/g1^34 - 2*g1^10*t^8.73*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
58796	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}\phi_{1}^{2}$	0.7096	0.9118	0.7782	[M:[1.1765, 1.0588, 0.8235, 0.8235, 0.7059, 0.7059, 0.8235], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]]	2*t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.882 + 5*t^4.235 + 7*t^4.588 + 10*t^4.941 + 8*t^5.294 + 4*t^5.647 + t^6. - t^4.412/y - t^4.412*y	detail	{a: 55779/78608, c: 35837/39304, M1: 20/17, M2: 18/17, M3: 14/17, M4: 14/17, M5: 12/17, M6: 12/17, M7: 14/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17}

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
54902	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6977	0.8853	0.7881	[M:[1.1817, 1.0013, 0.8183, 0.8183, 0.7268, 0.7268], q:[0.4092, 0.4092], qb:[0.5895, 0.7725], phi:[0.4549]]	2*t^2.18 + 2*t^2.455 + t^2.729 + t^2.996 + t^3.004 + t^3.545 + t^3.82 + t^4.086 + 5*t^4.361 + 4*t^4.635 + t^4.902 + 5*t^4.91 + 2*t^5.176 + 4*t^5.184 + 2*t^5.451 + t^5.459 + 3*t^5.725 + t^5.733 + t^5.992 - t^4.365/y - t^4.365*y	detail	{a: 52048525/74596056, c: 8255182/9324507, M1: 6250/5289, M2: 5296/5289, M3: 4328/5289, M4: 4328/5289, M5: 3844/5289, M6: 3844/5289, q1: 2164/5289, q2: 2164/5289, qb1: 3118/5289, qb2: 1362/1763, phi1: 802/1763}