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
2413	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.6536	0.8848	0.7387	[M:[0.9204, 1.2389, 0.9204, 0.7611, 0.6991, 0.6991, 0.7611], q:[0.7301, 0.3495], qb:[0.3495, 0.4116], phi:[0.5398]]	[M:[[4], [-12], [4], [12], [-10], [-10], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	1	3*t^2.097 + 3*t^2.283 + 2*t^2.761 + t^3.239 + t^3.425 + 2*t^3.717 + t^4.089 + 6*t^4.195 + 9*t^4.381 + 6*t^4.567 + 6*t^4.858 + 6*t^5.044 + 3*t^5.336 + 8*t^5.522 + 3*t^5.708 + 4*t^5.814 + t^6. + 2*t^6.186 + 10*t^6.292 + 3*t^6.372 + 18*t^6.478 + 16*t^6.664 + 12*t^6.85 + 11*t^6.956 + 14*t^7.142 + 11*t^7.328 + 6*t^7.433 + t^7.514 + 13*t^7.619 + 17*t^7.805 + 6*t^7.911 + 6*t^7.992 - 3*t^8.097 + t^8.178 + 2*t^8.283 + 15*t^8.389 + 6*t^8.469 + 26*t^8.575 + 6*t^8.655 + 20*t^8.761 + 27*t^8.947 - t^4.619/y - (2*t^6.717)/y - t^6.903/y + (3*t^7.195)/y + (8*t^7.381)/y + (3*t^7.567)/y + (7*t^7.858)/y + (6*t^8.044)/y + (4*t^8.336)/y + (9*t^8.522)/y + (3*t^8.708)/y + (3*t^8.814)/y - t^4.619*y - 2*t^6.717*y - t^6.903*y + 3*t^7.195*y + 8*t^7.381*y + 3*t^7.567*y + 7*t^7.858*y + 6*t^8.044*y + 4*t^8.336*y + 9*t^8.522*y + 3*t^8.708*y + 3*t^8.814*y	(3*t^2.097)/g1^10 + 3*g1^12*t^2.283 + 2*g1^4*t^2.761 + t^3.239/g1^4 + g1^18*t^3.425 + (2*t^3.717)/g1^12 + g1^32*t^4.089 + (6*t^4.195)/g1^20 + 9*g1^2*t^4.381 + 6*g1^24*t^4.567 + (6*t^4.858)/g1^6 + 6*g1^16*t^5.044 + (3*t^5.336)/g1^14 + 8*g1^8*t^5.522 + 3*g1^30*t^5.708 + (4*t^5.814)/g1^22 + t^6. + 2*g1^22*t^6.186 + (10*t^6.292)/g1^30 + 3*g1^44*t^6.372 + (18*t^6.478)/g1^8 + 16*g1^14*t^6.664 + 12*g1^36*t^6.85 + (11*t^6.956)/g1^16 + 14*g1^6*t^7.142 + 11*g1^28*t^7.328 + (6*t^7.433)/g1^24 + g1^50*t^7.514 + (13*t^7.619)/g1^2 + 17*g1^20*t^7.805 + (6*t^7.911)/g1^32 + 6*g1^42*t^7.992 - (3*t^8.097)/g1^10 + g1^64*t^8.178 + 2*g1^12*t^8.283 + (15*t^8.389)/g1^40 + 6*g1^34*t^8.469 + (26*t^8.575)/g1^18 + 6*g1^56*t^8.655 + 20*g1^4*t^8.761 + 27*g1^26*t^8.947 - t^4.619/(g1^2*y) - (2*t^6.717)/(g1^12*y) - (g1^10*t^6.903)/y + (3*t^7.195)/(g1^20*y) + (8*g1^2*t^7.381)/y + (3*g1^24*t^7.567)/y + (7*t^7.858)/(g1^6*y) + (6*g1^16*t^8.044)/y + (4*t^8.336)/(g1^14*y) + (9*g1^8*t^8.522)/y + (3*g1^30*t^8.708)/y + (3*t^8.814)/(g1^22*y) - (t^4.619*y)/g1^2 - (2*t^6.717*y)/g1^12 - g1^10*t^6.903*y + (3*t^7.195*y)/g1^20 + 8*g1^2*t^7.381*y + 3*g1^24*t^7.567*y + (7*t^7.858*y)/g1^6 + 6*g1^16*t^8.044*y + (4*t^8.336*y)/g1^14 + 9*g1^8*t^8.522*y + 3*g1^30*t^8.708*y + (3*t^8.814*y)/g1^22

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
4457	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6723	0.9193	0.7314	[M:[0.918, 1.246, 0.918, 0.754, 0.705, 0.705, 0.754, 0.754], q:[0.7295, 0.3525], qb:[0.3525, 0.4015], phi:[0.541]]	3*t^2.115 + 4*t^2.262 + 2*t^2.754 + t^3.246 + t^3.393 + t^3.738 + t^4.032 + 6*t^4.23 + 12*t^4.377 + 10*t^4.524 + 6*t^4.869 + 8*t^5.016 + 3*t^5.361 + 9*t^5.508 + 4*t^5.655 + t^5.853 - t^6. - t^4.623/y - t^4.623*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
1352	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6352	0.8516	0.7459	[M:[0.9231, 1.2307, 0.9231, 0.7693, 0.6922, 0.6922], q:[0.7308, 0.3461], qb:[0.3461, 0.4232], phi:[0.5384]]	3*t^2.077 + 2*t^2.308 + 2*t^2.769 + t^3.231 + t^3.462 + 3*t^3.692 + 6*t^4.153 + t^4.155 + 6*t^4.385 + 3*t^4.616 + 6*t^4.846 + 4*t^5.077 + 3*t^5.307 + 7*t^5.539 + 7*t^5.769 + 2*t^5.77 + t^6. - t^4.615/y - t^4.615*y	detail