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
3322	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6451	0.8502	0.7587	[M:[0.9518, 1.1447, 0.8553, 0.7171, 0.8553, 0.8136], q:[0.7379, 0.3103], qb:[0.4485, 0.4068], phi:[0.5241]]	[M:[[-4], [12], [-12], [18], [-12], [26]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	0	2*t^2.151 + t^2.276 + t^2.441 + 2*t^2.566 + t^2.855 + t^3.145 + t^3.434 + t^3.724 + t^4.013 + t^4.138 + t^4.263 + 3*t^4.303 + 2*t^4.428 + t^4.553 + 2*t^4.592 + 5*t^4.717 + 2*t^4.842 + t^4.882 + 4*t^5.007 + 4*t^5.132 + 3*t^5.296 + 3*t^5.421 + 2*t^5.586 + 2*t^5.711 + 2*t^5.875 - t^6.125 + 3*t^6.165 + 3*t^6.289 + t^6.414 + 5*t^6.454 + t^6.539 + 6*t^6.579 + 3*t^6.704 + 3*t^6.743 + 3*t^6.829 + 8*t^6.868 + 3*t^6.993 + 2*t^7.033 + 2*t^7.118 + 8*t^7.158 + 7*t^7.283 + t^7.322 + 4*t^7.408 + 7*t^7.447 + 6*t^7.572 + 5*t^7.697 + 5*t^7.737 + 4*t^7.862 + 3*t^7.987 + 4*t^8.026 + 5*t^8.316 + 2*t^8.441 + t^8.526 - 3*t^8.566 + 8*t^8.605 - t^8.691 + 9*t^8.73 + t^8.816 + t^8.855 + 5*t^8.895 + 2*t^8.98 - t^4.572/y - t^6.724/y - t^7.013/y - t^7.138/y + t^7.303/y + (2*t^7.428)/y + (2*t^7.592)/y + (5*t^7.717)/y + (2*t^7.842)/y + (5*t^8.007)/y + (3*t^8.132)/y + (3*t^8.296)/y + (4*t^8.421)/y + (3*t^8.586)/y + (3*t^8.711)/y + (2*t^8.875)/y - t^4.572*y - t^6.724*y - t^7.013*y - t^7.138*y + t^7.303*y + 2*t^7.428*y + 2*t^7.592*y + 5*t^7.717*y + 2*t^7.842*y + 5*t^8.007*y + 3*t^8.132*y + 3*t^8.296*y + 4*t^8.421*y + 3*t^8.586*y + 3*t^8.711*y + 2*t^8.875*y	2*g1^18*t^2.151 + t^2.276/g1^20 + g1^26*t^2.441 + (2*t^2.566)/g1^12 + t^2.855/g1^4 + g1^4*t^3.145 + g1^12*t^3.434 + g1^20*t^3.724 + g1^28*t^4.013 + t^4.138/g1^10 + t^4.263/g1^48 + 3*g1^36*t^4.303 + (2*t^4.428)/g1^2 + t^4.553/g1^40 + 2*g1^44*t^4.592 + 5*g1^6*t^4.717 + (2*t^4.842)/g1^32 + g1^52*t^4.882 + 4*g1^14*t^5.007 + (4*t^5.132)/g1^24 + 3*g1^22*t^5.296 + (3*t^5.421)/g1^16 + 2*g1^30*t^5.586 + (2*t^5.711)/g1^8 + 2*g1^38*t^5.875 - t^6.125/g1^38 + 3*g1^46*t^6.165 + 3*g1^8*t^6.289 + t^6.414/g1^30 + 5*g1^54*t^6.454 + t^6.539/g1^68 + 6*g1^16*t^6.579 + (3*t^6.704)/g1^22 + 3*g1^62*t^6.743 + (3*t^6.829)/g1^60 + 8*g1^24*t^6.868 + (3*t^6.993)/g1^14 + 2*g1^70*t^7.033 + (2*t^7.118)/g1^52 + 8*g1^32*t^7.158 + (7*t^7.283)/g1^6 + g1^78*t^7.322 + (4*t^7.408)/g1^44 + 7*g1^40*t^7.447 + 6*g1^2*t^7.572 + (5*t^7.697)/g1^36 + 5*g1^48*t^7.737 + 4*g1^10*t^7.862 + (3*t^7.987)/g1^28 + 4*g1^56*t^8.026 + 5*g1^64*t^8.316 + 2*g1^26*t^8.441 + t^8.526/g1^96 - (3*t^8.566)/g1^12 + 8*g1^72*t^8.605 - t^8.691/g1^50 + 9*g1^34*t^8.73 + t^8.816/g1^88 + t^8.855/g1^4 + 5*g1^80*t^8.895 + (2*t^8.98)/g1^42 - (g1^2*t^4.572)/y - (g1^20*t^6.724)/y - (g1^28*t^7.013)/y - t^7.138/(g1^10*y) + (g1^36*t^7.303)/y + (2*t^7.428)/(g1^2*y) + (2*g1^44*t^7.592)/y + (5*g1^6*t^7.717)/y + (2*t^7.842)/(g1^32*y) + (5*g1^14*t^8.007)/y + (3*t^8.132)/(g1^24*y) + (3*g1^22*t^8.296)/y + (4*t^8.421)/(g1^16*y) + (3*g1^30*t^8.586)/y + (3*t^8.711)/(g1^8*y) + (2*g1^38*t^8.875)/y - g1^2*t^4.572*y - g1^20*t^6.724*y - g1^28*t^7.013*y - (t^7.138*y)/g1^10 + g1^36*t^7.303*y + (2*t^7.428*y)/g1^2 + 2*g1^44*t^7.592*y + 5*g1^6*t^7.717*y + (2*t^7.842*y)/g1^32 + 5*g1^14*t^8.007*y + (3*t^8.132*y)/g1^24 + 3*g1^22*t^8.296*y + (4*t^8.421*y)/g1^16 + 3*g1^30*t^8.586*y + (3*t^8.711*y)/g1^8 + 2*g1^38*t^8.875*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
3759	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.658	0.872	0.7545	[M:[0.9499, 1.1502, 0.8498, 0.7253, 0.8498, 0.8254, 0.8498], q:[0.7375, 0.3126], qb:[0.4371, 0.4127], phi:[0.525]]	2*t^2.176 + t^2.249 + t^2.476 + 3*t^2.549 + t^2.85 + t^3.15 + t^3.751 + t^4.051 + t^4.125 + t^4.198 + 3*t^4.352 + 2*t^4.425 + t^4.498 + 2*t^4.652 + 7*t^4.725 + 3*t^4.799 + t^4.952 + 5*t^5.026 + 7*t^5.099 + 3*t^5.326 + 4*t^5.399 + 2*t^5.7 + t^5.927 - 2*t^6. - t^4.575/y - t^4.575*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
2799	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6302	0.8242	0.7646	[M:[0.948, 1.156, 0.844, 0.7341, 0.844], q:[0.737, 0.315], qb:[0.4249, 0.419], phi:[0.526]]	2*t^2.202 + t^2.22 + 2*t^2.532 + t^2.844 + t^3.156 + t^3.468 + t^3.486 + t^3.78 + t^4.092 + t^4.11 + t^4.128 + 3*t^4.404 + 2*t^4.422 + t^4.44 + 4*t^4.734 + 2*t^4.752 + 2*t^5.046 + 4*t^5.064 + 2*t^5.358 + 3*t^5.376 + t^5.67 + 4*t^5.688 + t^5.706 + t^5.982 - t^4.578/y - t^4.578*y	detail