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
2256	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6548	0.8265	0.7923	[M:[1.1725, 0.7357, 0.8275, 0.8275, 1.1725, 0.7816, 0.6898], q:[0.8046, 0.4597], qb:[0.3679, 0.8046], phi:[0.3908]]	[M:[[-6], [-14], [6], [6], [-6], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	${}M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	0	t^2.069 + t^2.207 + 2*t^2.345 + t^2.483 + t^3.38 + 2*t^3.517 + t^3.793 + t^4.139 + t^4.277 + 3*t^4.414 + 3*t^4.552 + 4*t^4.69 + 3*t^4.828 + t^4.965 + t^5.449 + 3*t^5.587 + 3*t^5.725 + 4*t^5.862 + t^6.208 + t^6.346 + 3*t^6.484 + 4*t^6.622 + 7*t^6.759 + 8*t^6.897 + 8*t^7.035 + 3*t^7.172 - 2*t^7.448 + t^7.518 + 3*t^7.656 + 4*t^7.794 + 7*t^7.932 + 4*t^8.069 + 3*t^8.207 + t^8.278 - 2*t^8.345 + t^8.415 - 4*t^8.483 + 3*t^8.553 - 3*t^8.62 + 4*t^8.691 - t^8.758 + 8*t^8.829 + 11*t^8.966 - t^4.172/y - t^6.242/y - t^6.38/y - (2*t^6.517)/y + t^7.277/y + (2*t^7.414)/y + (3*t^7.552)/y + (2*t^7.69)/y + (4*t^7.828)/y + t^7.965/y + t^8.103/y - t^8.311/y + (2*t^8.725)/y + (3*t^8.862)/y - t^4.172*y - t^6.242*y - t^6.38*y - 2*t^6.517*y + t^7.277*y + 2*t^7.414*y + 3*t^7.552*y + 2*t^7.69*y + 4*t^7.828*y + t^7.965*y + t^8.103*y - t^8.311*y + 2*t^8.725*y + 3*t^8.862*y	t^2.069/g1^24 + t^2.207/g1^14 + (2*t^2.345)/g1^4 + g1^6*t^2.483 + t^3.38/g1^16 + (2*t^3.517)/g1^6 + g1^14*t^3.793 + t^4.139/g1^48 + t^4.277/g1^38 + (3*t^4.414)/g1^28 + (3*t^4.552)/g1^18 + (4*t^4.69)/g1^8 + 3*g1^2*t^4.828 + g1^12*t^4.965 + t^5.449/g1^40 + (3*t^5.587)/g1^30 + (3*t^5.725)/g1^20 + (4*t^5.862)/g1^10 + t^6.208/g1^72 + t^6.346/g1^62 + (3*t^6.484)/g1^52 + (4*t^6.622)/g1^42 + (7*t^6.759)/g1^32 + (8*t^6.897)/g1^22 + (8*t^7.035)/g1^12 + (3*t^7.172)/g1^2 - 2*g1^18*t^7.448 + t^7.518/g1^64 + (3*t^7.656)/g1^54 + (4*t^7.794)/g1^44 + (7*t^7.932)/g1^34 + (4*t^8.069)/g1^24 + (3*t^8.207)/g1^14 + t^8.278/g1^96 - (2*t^8.345)/g1^4 + t^8.415/g1^86 - 4*g1^6*t^8.483 + (3*t^8.553)/g1^76 - 3*g1^16*t^8.62 + (4*t^8.691)/g1^66 - g1^26*t^8.758 + (8*t^8.829)/g1^56 + (11*t^8.966)/g1^46 - t^4.172/(g1^2*y) - t^6.242/(g1^26*y) - t^6.38/(g1^16*y) - (2*t^6.517)/(g1^6*y) + t^7.277/(g1^38*y) + (2*t^7.414)/(g1^28*y) + (3*t^7.552)/(g1^18*y) + (2*t^7.69)/(g1^8*y) + (4*g1^2*t^7.828)/y + (g1^12*t^7.965)/y + (g1^22*t^8.103)/y - t^8.311/(g1^50*y) + (2*t^8.725)/(g1^20*y) + (3*t^8.862)/(g1^10*y) - (t^4.172*y)/g1^2 - (t^6.242*y)/g1^26 - (t^6.38*y)/g1^16 - (2*t^6.517*y)/g1^6 + (t^7.277*y)/g1^38 + (2*t^7.414*y)/g1^28 + (3*t^7.552*y)/g1^18 + (2*t^7.69*y)/g1^8 + 4*g1^2*t^7.828*y + g1^12*t^7.965*y + g1^22*t^8.103*y - (t^8.311*y)/g1^50 + (2*t^8.725*y)/g1^20 + (3*t^8.862*y)/g1^10

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
4253	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{8}$	0.6354	0.7898	0.8045	[M:[1.1765, 0.7451, 0.8235, 0.8235, 1.1765, 0.7843, 0.7059, 1.2549], q:[0.8039, 0.451], qb:[0.3725, 0.8039], phi:[0.3922]]	t^2.118 + 2*t^2.353 + t^2.471 + t^3.412 + 2*t^3.529 + 2*t^3.765 + t^4.235 + 2*t^4.471 + t^4.588 + 3*t^4.706 + 3*t^4.824 + t^4.941 + t^5.529 + 2*t^5.647 + t^5.765 + 5*t^5.882 - t^6. - t^4.176/y - t^4.176*y	detail	{a: 1469/2312, c: 913/1156, M1: 20/17, M2: 38/51, M3: 14/17, M4: 14/17, M5: 20/17, M6: 40/51, M7: 12/17, M8: 64/51, q1: 41/51, q2: 23/51, qb1: 19/51, qb2: 41/51, phi1: 20/51}
4259	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$	0.5941	0.7399	0.8029	[M:[1.25, 0.9167, 0.75, 0.75, 1.25, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]]	t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y	detail	{a: 1825/3072, c: 2273/3072, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 5/4, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12}

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
1208	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	0.6342	0.7862	0.8067	[M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]]	t^2.232 + 2*t^2.352 + t^2.472 + t^3.407 + 2*t^3.528 + t^3.768 + t^3.889 + t^4.463 + 2*t^4.583 + 4*t^4.704 + 3*t^4.824 + t^4.944 + t^5.639 + 3*t^5.759 + 3*t^5.88 - t^4.176/y - t^4.176*y	detail