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
159	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6845	0.8095	0.8456	[M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]]	[M:[[-7, -7, 0], [4, 4, 4], [-7, 0, -7], [0, -7, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$	${}$	-9	3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. + 6*t^6.718 + 10*t^7.077 + 10*t^7.536 + 6*t^8.412 - 21*t^8.512 + 10*t^8.77 - t^4.077/y - (3*t^6.588)/y + (3*t^7.565)/y + (3*t^8.024)/y - t^4.077*y - 3*t^6.588*y + 3*t^7.565*y + 3*t^8.024*y	t^2.512/(g1^7*g2^7) + t^2.512/(g1^7*g3^7) + t^2.512/(g2^7*g3^7) + g1^4*g2^4*g3^4*t^3.847 + g1^8*g2*g3*t^4.206 + g1*g2^8*g3*t^4.206 + g1*g2*g3^8*t^4.206 + (g1^12*t^4.565)/(g2^2*g3^2) + (g1^5*g2^5*t^4.565)/g3^2 + (g2^12*t^4.565)/(g1^2*g3^2) + (g1^5*g3^5*t^4.565)/g2^2 + (g2^5*g3^5*t^4.565)/g1^2 + (g3^12*t^4.565)/(g1^2*g2^2) + t^5.024/(g1^14*g2^14) + t^5.024/(g1^14*g3^14) + t^5.024/(g2^14*g3^14) + t^5.024/(g1^7*g2^7*g3^14) + t^5.024/(g1^7*g2^14*g3^7) + t^5.024/(g1^14*g2^7*g3^7) - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.)/g3^7 - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1^7 - (g3^7*t^6.)/g2^7 + (g1^8*t^6.718)/(g2^6*g3^6) + (g1*g2*t^6.718)/g3^6 + (g2^8*t^6.718)/(g1^6*g3^6) + (g1*g3*t^6.718)/g2^6 + (g2*g3*t^6.718)/g1^6 + (g3^8*t^6.718)/(g1^6*g2^6) + (g1^12*t^7.077)/(g2^9*g3^9) + (g1^5*t^7.077)/(g2^2*g3^9) + (g2^5*t^7.077)/(g1^2*g3^9) + (g2^12*t^7.077)/(g1^9*g3^9) + (g1^5*t^7.077)/(g2^9*g3^2) + t^7.077/(g1^2*g2^2*g3^2) + (g2^5*t^7.077)/(g1^9*g3^2) + (g3^5*t^7.077)/(g1^2*g2^9) + (g3^5*t^7.077)/(g1^9*g2^2) + (g3^12*t^7.077)/(g1^9*g2^9) + t^7.536/(g1^21*g2^21) + t^7.536/(g1^21*g3^21) + t^7.536/(g2^21*g3^21) + t^7.536/(g1^7*g2^14*g3^21) + t^7.536/(g1^14*g2^7*g3^21) + t^7.536/(g1^7*g2^21*g3^14) + t^7.536/(g1^14*g2^14*g3^14) + t^7.536/(g1^21*g2^7*g3^14) + t^7.536/(g1^14*g2^21*g3^7) + t^7.536/(g1^21*g2^14*g3^7) + g1^16*g2^2*g3^2*t^8.412 + g1^9*g2^9*g3^2*t^8.412 + g1^2*g2^16*g3^2*t^8.412 + g1^9*g2^2*g3^9*t^8.412 + g1^2*g2^9*g3^9*t^8.412 + g1^2*g2^2*g3^16*t^8.412 - t^8.512/g1^14 - t^8.512/g2^14 - (4*t^8.512)/(g1^7*g2^7) - t^8.512/g3^14 - (g1^7*t^8.512)/(g2^7*g3^14) - (g2^7*t^8.512)/(g1^7*g3^14) - (4*t^8.512)/(g1^7*g3^7) - (g1^7*t^8.512)/(g2^14*g3^7) - (4*t^8.512)/(g2^7*g3^7) - (g2^7*t^8.512)/(g1^14*g3^7) - (g3^7*t^8.512)/(g1^7*g2^14) - (g3^7*t^8.512)/(g1^14*g2^7) + (g1^20*t^8.77)/(g2*g3) + (g1^13*g2^6*t^8.77)/g3 + (g1^6*g2^13*t^8.77)/g3 + (g2^20*t^8.77)/(g1*g3) + (g1^13*g3^6*t^8.77)/g2 + g1^6*g2^6*g3^6*t^8.77 + (g2^13*g3^6*t^8.77)/g1 + (g1^6*g3^13*t^8.77)/g2 + (g2^6*g3^13*t^8.77)/g1 + (g3^20*t^8.77)/(g1*g2) - t^4.077/(g1^2*g2^2*g3^2*y) - t^6.588/(g1^2*g2^9*g3^9*y) - t^6.588/(g1^9*g2^2*g3^9*y) - t^6.588/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.565)/(g3^2*y) + (g1^5*g3^5*t^7.565)/(g2^2*y) + (g2^5*g3^5*t^7.565)/(g1^2*y) + t^8.024/(g1^7*g2^7*g3^14*y) + t^8.024/(g1^7*g2^14*g3^7*y) + t^8.024/(g1^14*g2^7*g3^7*y) - (t^4.077*y)/(g1^2*g2^2*g3^2) - (t^6.588*y)/(g1^2*g2^9*g3^9) - (t^6.588*y)/(g1^9*g2^2*g3^9) - (t^6.588*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.565*y)/g3^2 + (g1^5*g3^5*t^7.565*y)/g2^2 + (g2^5*g3^5*t^7.565*y)/g1^2 + (t^8.024*y)/(g1^7*g2^7*g3^14) + (t^8.024*y)/(g1^7*g2^14*g3^7) + (t^8.024*y)/(g1^14*g2^7*g3^7)

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
250	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$	0.6621	0.7871	0.8412	[M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]]	t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - t^4.253/y - t^4.253*y	detail
252	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$	0.6697	0.7947	0.8427	[M:[0.8882, 1.2067, 0.8882, 1.0], q:[0.8017, 0.6118], qb:[0.5, 0.5], phi:[0.3966]]	2*t^2.665 + t^3. + t^3.62 + 2*t^3.905 + 3*t^4.19 + t^4.24 + 2*t^4.525 + t^4.861 + 3*t^5.329 - 4*t^6. - t^4.19/y - t^4.19*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
100	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.6732	0.7929	0.8491	[M:[0.8614, 1.2464, 0.8614], q:[0.8116, 0.596], qb:[0.5426, 0.5426], phi:[0.3768]]	2*t^2.584 + t^3.256 + t^3.739 + 2*t^4.063 + t^4.223 + 3*t^4.386 + 2*t^4.546 + t^4.706 + 3*t^5.168 - 5*t^6. - t^4.13/y - t^4.13*y	detail