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
58470	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}X_{1}$	1.4405	1.6826	0.8561	[X:[1.2504], M:[0.9984, 0.8756, 0.7496], q:[0.5008, 0.3748], qb:[0.5008, 0.3748], phi:[0.3748]]	[X:[[0, 0, 2]], M:[[0, 0, -8], [0, 0, 3], [0, 0, -2]], q:[[-1, 0, 8], [0, -1, -2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	5	2*t^2.25 + 3*t^2.63 + t^3. + t^3.37 + 2*t^3.75 + t^4.13 + 4*t^4.5 + 10*t^4.88 + 2*t^5.24 + 9*t^5.25 + 3*t^5.62 + t^5.99 + 5*t^6. + t^6.37 + 8*t^6.38 + 9*t^6.75 + 3*t^6.76 + 19*t^7.12 + 4*t^7.49 + 29*t^7.5 + 6*t^7.87 + 22*t^7.88 + 2*t^8.24 + 8*t^8.25 + t^8.26 + 3*t^8.62 + 12*t^8.63 + t^8.99 - t^4.12/y - t^5.25/y - (2*t^6.37)/y - (3*t^6.75)/y - t^7.12/y - t^7.5/y + (4*t^7.88)/y + t^8.24/y + (3*t^8.25)/y + t^8.62/y - t^4.12*y - t^5.25*y - 2*t^6.37*y - 3*t^6.75*y - t^7.12*y - t^7.5*y + 4*t^7.88*y + t^8.24*y + 3*t^8.25*y + t^8.62*y	(2*t^2.25)/g3^2 + (g1*t^2.63)/(g2*g3^2) + g3^3*t^2.63 + (g2*g3^8*t^2.63)/g1 + t^3./g3^8 + t^3.37/g3^3 + (g1*t^3.75)/(g2*g3^3) + (g2*g3^7*t^3.75)/g1 + g3^7*t^4.13 + (4*t^4.5)/g3^4 + (3*g1*t^4.88)/(g2*g3^4) + (g1*g2^2*t^4.88)/g3 + 2*g3*t^4.88 + (g3^3*t^4.88)/(g1*g2^2) + (3*g2*g3^6*t^4.88)/g1 + (2*t^5.24)/g3^10 + (g1^2*t^5.25)/(g2^2*g3^4) + (g1^2*g2*t^5.25)/g3 + (g1*g3*t^5.25)/g2 + 3*g3^6*t^5.25 + (g2*g3^11*t^5.25)/g1 + (g3^13*t^5.25)/(g1^2*g2) + (g2^2*g3^16*t^5.25)/g1^2 + (3*t^5.62)/g3^5 + t^5.99/g3^16 - 3*t^6. + (3*g1*t^6.)/(g2*g3^5) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (3*g2*g3^5*t^6.)/g1 + t^6.37/g3^11 + (g1^2*t^6.38)/(g2^2*g3^5) + (g1^2*g2*t^6.38)/g3^2 + 4*g3^5*t^6.38 + (g3^12*t^6.38)/(g1^2*g2) + (g2^2*g3^15*t^6.38)/g1^2 + t^6.75/(g2^3*g3^9) + (7*t^6.75)/g3^6 + (g2^3*t^6.75)/g3^3 + (g1*g3^5*t^6.76)/g2 + g3^10*t^6.76 + (g2*g3^15*t^6.76)/g1 - (g1^2*g2*t^7.12)/g3^8 + (7*g1*t^7.12)/(g2*g3^6) + (3*g1*g2^2*t^7.12)/g3^3 + t^7.12/g3 + (3*g3*t^7.12)/(g1*g2^2) + (7*g2*g3^4*t^7.12)/g1 - (g3^6*t^7.12)/(g1^2*g2) + (4*t^7.49)/g3^12 + (4*g1^2*t^7.5)/(g2^2*g3^6) + (4*g1^2*g2*t^7.5)/g3^3 + (g1*t^7.5)/(g2*g3) + (g3*t^7.5)/g2^3 + 9*g3^4*t^7.5 + g2^3*g3^7*t^7.5 + (g2*g3^9*t^7.5)/g1 + (4*g3^11*t^7.5)/(g1^2*g2) + (4*g2^2*g3^14*t^7.5)/g1^2 + (6*t^7.87)/g3^7 + (g1^3*t^7.88)/(g2^3*g3^6) + (2*g1^3*t^7.88)/g3^3 + (g1^2*t^7.88)/(g2^2*g3) + g1^2*g2*g3^2*t^7.88 + (4*g1*g3^4*t^7.88)/g2 + g1*g2^2*g3^7*t^7.88 + 2*g3^9*t^7.88 + (g3^11*t^7.88)/(g1*g2^2) + (4*g2*g3^14*t^7.88)/g1 + (g3^16*t^7.88)/(g1^2*g2) + (g2^2*g3^19*t^7.88)/g1^2 + (2*g3^21*t^7.88)/g1^3 + (g2^3*g3^24*t^7.88)/g1^3 + (2*t^8.24)/g3^18 + (3*t^8.25)/(g1*g2^2) - (g1^2*g2*t^8.25)/g3^9 + (7*g1*t^8.25)/(g2*g3^7) - t^8.25/(g2^3*g3^5) + (3*g1*g2^2*t^8.25)/g3^4 - (8*t^8.25)/g3^2 - g2^3*g3*t^8.25 + (7*g2*g3^3*t^8.25)/g1 - (g3^5*t^8.25)/(g1^2*g2) + g3^14*t^8.26 + (3*t^8.62)/g3^13 + (2*t^8.63)/g2^3 - (g1^3*t^8.63)/g3^9 + (4*g1^2*t^8.63)/(g2^2*g3^7) + (4*g1^2*g2*t^8.63)/g3^4 - (5*g1*t^8.63)/(g2*g3^2) - 2*g1*g2^2*g3*t^8.63 + 8*g3^3*t^8.63 - (2*g3^5*t^8.63)/(g1*g2^2) + 2*g2^3*g3^6*t^8.63 - (5*g2*g3^8*t^8.63)/g1 + (4*g3^10*t^8.63)/(g1^2*g2) + (4*g2^2*g3^13*t^8.63)/g1^2 - (g3^15*t^8.63)/g1^3 + t^8.99/g3^24 - t^4.12/(g3*y) - t^5.25/(g3^2*y) - (2*t^6.37)/(g3^3*y) - (g1*t^6.75)/(g2*g3^3*y) - (g3^2*t^6.75)/y - (g2*g3^7*t^6.75)/(g1*y) - t^7.12/(g3^9*y) - t^7.5/(g3^4*y) + (g1*t^7.88)/(g2*g3^4*y) + (2*g3*t^7.88)/y + (g2*g3^6*t^7.88)/(g1*y) + t^8.24/(g3^10*y) + (g1*g3*t^8.25)/(g2*y) + (g3^6*t^8.25)/y + (g2*g3^11*t^8.25)/(g1*y) + (g2*t^8.62)/(g1*y) + (g1*t^8.62)/(g2*g3^10*y) - t^8.62/(g3^5*y) - (t^4.12*y)/g3 - (t^5.25*y)/g3^2 - (2*t^6.37*y)/g3^3 - (g1*t^6.75*y)/(g2*g3^3) - g3^2*t^6.75*y - (g2*g3^7*t^6.75*y)/g1 - (t^7.12*y)/g3^9 - (t^7.5*y)/g3^4 + (g1*t^7.88*y)/(g2*g3^4) + 2*g3*t^7.88*y + (g2*g3^6*t^7.88*y)/g1 + (t^8.24*y)/g3^10 + (g1*g3*t^8.25*y)/g2 + g3^6*t^8.25*y + (g2*g3^11*t^8.25*y)/g1 + (g2*t^8.62*y)/g1 + (g1*t^8.62*y)/(g2*g3^10) - (t^8.62*y)/g3^5

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

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
57370	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4215	1.6483	0.8624	[X:[1.2487], M:[1.0053, 0.873], q:[0.4974, 0.3757], qb:[0.4974, 0.3757], phi:[0.3757]]	t^2.254 + 3*t^2.619 + t^3.016 + t^3.381 + 3*t^3.746 + t^4.111 + 2*t^4.508 + 7*t^4.873 + 9*t^5.238 + t^5.27 + 2*t^5.635 + 4*t^6. - t^4.127/y - t^5.254/y - t^4.127*y - t^5.254*y	detail