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
55488	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}^{2}$ + ${ }M_{2}M_{7}$	0.6963	0.8535	0.8158	[M:[1.032, 1.0387, 0.968, 1.016, 0.9293, 1.0, 0.9613], q:[0.4647, 0.5034], qb:[0.4966, 0.5673], phi:[0.492]]	[M:[[4, 4], [-12, 4], [-4, -4], [2, 2], [8, -8], [0, 0], [12, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.788 + t^2.884 + t^2.904 + t^3. + t^3.048 + t^3.096 + t^3.192 + t^4.264 + t^4.36 + t^4.38 + t^4.456 + t^4.476 + t^4.496 + t^4.572 + t^4.668 + t^4.688 + t^4.88 + t^5.576 + t^5.672 + t^5.768 + t^5.788 + t^5.836 + t^5.884 + t^5.932 + t^5.952 + t^5.98 - 2*t^6. - t^6.02 + t^6.048 + t^6.076 + t^6.096 - t^6.116 + t^6.144 + t^6.192 - t^6.212 + t^6.24 + t^6.288 - t^6.308 + t^6.384 + t^7.052 + 2*t^7.148 + t^7.168 + 2*t^7.244 + 2*t^7.264 + t^7.284 + t^7.34 + 3*t^7.36 + t^7.38 + t^7.4 + 3*t^7.456 + 2*t^7.552 + t^7.572 + t^7.648 + 2*t^7.668 + 2*t^7.764 + t^7.86 + t^7.88 + t^7.976 + t^8.072 + t^8.364 + t^8.46 + t^8.528 + t^8.556 + 2*t^8.624 + t^8.644 + t^8.652 + t^8.672 - t^8.692 + 2*t^8.72 + t^8.74 + t^8.76 + t^8.768 - 4*t^8.788 - t^8.808 + 2*t^8.816 + 3*t^8.836 + t^8.856 + t^8.864 + t^8.876 - 4*t^8.884 - 4*t^8.904 + t^8.912 - t^8.924 + 3*t^8.932 + 2*t^8.952 + t^8.96 + t^8.972 + t^8.992 - t^4.476/y - t^7.264/y + t^7.688/y + t^8.672/y + t^8.692/y + (2*t^8.788)/y + t^8.836/y + (2*t^8.884)/y + t^8.904/y + t^8.932/y + t^8.952/y + (2*t^8.98)/y - t^4.476*y - t^7.264*y + t^7.688*y + t^8.672*y + t^8.692*y + 2*t^8.788*y + t^8.836*y + 2*t^8.884*y + t^8.904*y + t^8.932*y + t^8.952*y + 2*t^8.98*y	(g1^8*t^2.788)/g2^8 + (g1^12*t^2.884)/g2^4 + t^2.904/(g1^4*g2^4) + t^3. + g1^2*g2^2*t^3.048 + g1^4*g2^4*t^3.096 + g1^8*g2^8*t^3.192 + (g1^7*t^4.264)/g2^9 + (g1^11*t^4.36)/g2^5 + t^4.38/(g1^5*g2^5) + (g1^15*t^4.456)/g2 + t^4.476/(g1*g2) + t^4.496/(g1^17*g2) + g1^3*g2^3*t^4.572 + g1^7*g2^7*t^4.668 + (g2^7*t^4.688)/g1^9 + (g2^15*t^4.88)/g1 + (g1^16*t^5.576)/g2^16 + (g1^20*t^5.672)/g2^12 + (g1^24*t^5.768)/g2^8 + (g1^8*t^5.788)/g2^8 + (g1^10*t^5.836)/g2^6 + (g1^12*t^5.884)/g2^4 + (g1^14*t^5.932)/g2^2 + t^5.952/(g1^2*g2^2) + g1^16*t^5.98 - 2*t^6. - t^6.02/g1^16 + g1^2*g2^2*t^6.048 + g1^20*g2^4*t^6.076 + g1^4*g2^4*t^6.096 - (g2^4*t^6.116)/g1^12 + g1^6*g2^6*t^6.144 + g1^8*g2^8*t^6.192 - (g2^8*t^6.212)/g1^8 + g1^10*g2^10*t^6.24 + g1^12*g2^12*t^6.288 - (g2^12*t^6.308)/g1^4 + g1^16*g2^16*t^6.384 + (g1^15*t^7.052)/g2^17 + (2*g1^19*t^7.148)/g2^13 + (g1^3*t^7.168)/g2^13 + (2*g1^23*t^7.244)/g2^9 + (2*g1^7*t^7.264)/g2^9 + t^7.284/(g1^9*g2^9) + (g1^27*t^7.34)/g2^5 + (3*g1^11*t^7.36)/g2^5 + t^7.38/(g1^5*g2^5) + t^7.4/(g1^21*g2^5) + (3*g1^15*t^7.456)/g2 + 2*g1^19*g2^3*t^7.552 + g1^3*g2^3*t^7.572 + g1^23*g2^7*t^7.648 + 2*g1^7*g2^7*t^7.668 + 2*g1^11*g2^11*t^7.764 + g1^15*g2^15*t^7.86 + (g2^15*t^7.88)/g1 + g1^3*g2^19*t^7.976 + g1^7*g2^23*t^8.072 + (g1^24*t^8.364)/g2^24 + (g1^28*t^8.46)/g2^20 + (g1^14*t^8.528)/g2^18 + (g1^32*t^8.556)/g2^16 + (2*g1^18*t^8.624)/g2^14 + (g1^2*t^8.644)/g2^14 + (g1^36*t^8.652)/g2^12 + (g1^20*t^8.672)/g2^12 - (g1^4*t^8.692)/g2^12 + (2*g1^22*t^8.72)/g2^10 + (g1^6*t^8.74)/g2^10 + t^8.76/(g1^10*g2^10) + (g1^24*t^8.768)/g2^8 - (4*g1^8*t^8.788)/g2^8 - t^8.808/(g1^8*g2^8) + (2*g1^26*t^8.816)/g2^6 + (3*g1^10*t^8.836)/g2^6 + t^8.856/(g1^6*g2^6) + (g1^28*t^8.864)/g2^4 + t^8.876/(g1^22*g2^6) - (4*g1^12*t^8.884)/g2^4 - (4*t^8.904)/(g1^4*g2^4) + (g1^30*t^8.912)/g2^2 - t^8.924/(g1^20*g2^4) + (3*g1^14*t^8.932)/g2^2 + (2*t^8.952)/(g1^2*g2^2) + g1^32*t^8.96 + t^8.972/(g1^18*g2^2) + t^8.992/(g1^34*g2^2) - t^4.476/(g1*g2*y) - (g1^7*t^7.264)/(g2^9*y) + (g2^7*t^7.688)/(g1^9*y) + (g1^20*t^8.672)/(g2^12*y) + (g1^4*t^8.692)/(g2^12*y) + (2*g1^8*t^8.788)/(g2^8*y) + (g1^10*t^8.836)/(g2^6*y) + (2*g1^12*t^8.884)/(g2^4*y) + t^8.904/(g1^4*g2^4*y) + (g1^14*t^8.932)/(g2^2*y) + t^8.952/(g1^2*g2^2*y) + (2*g1^16*t^8.98)/y - (t^4.476*y)/(g1*g2) - (g1^7*t^7.264*y)/g2^9 + (g2^7*t^7.688*y)/g1^9 + (g1^20*t^8.672*y)/g2^12 + (g1^4*t^8.692*y)/g2^12 + (2*g1^8*t^8.788*y)/g2^8 + (g1^10*t^8.836*y)/g2^6 + (2*g1^12*t^8.884*y)/g2^4 + (t^8.904*y)/(g1^4*g2^4) + (g1^14*t^8.932*y)/g2^2 + (t^8.952*y)/(g1^2*g2^2) + 2*g1^16*t^8.98*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
57058	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{7}$	0.6963	0.853	0.8162	[M:[1.0341, 1.0341, 0.9659, 1.017, 0.9318, 1.0, 0.9659], q:[0.4659, 0.5], qb:[0.5, 0.5682], phi:[0.4915]]	t^2.795 + 2*t^2.898 + t^3. + t^3.051 + t^3.102 + t^3.205 + t^4.27 + 2*t^4.372 + 3*t^4.474 + t^4.577 + 2*t^4.679 + t^4.884 + t^5.591 + t^5.693 + 2*t^5.795 + t^5.847 + t^5.898 + 2*t^5.949 - 2*t^6. - t^4.474/y - t^4.474*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
48125	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}^{2}$	0.6954	0.8497	0.8184	[M:[1.0414, 0.9805, 0.9586, 1.0207, 0.978, 1.0], q:[0.489, 0.4696], qb:[0.5304, 0.5524], phi:[0.4896]]	t^2.876 + t^2.934 + t^2.942 + t^3. + t^3.062 + t^3.124 + t^3.249 + t^4.286 + t^4.345 + t^4.403 + t^4.469 + t^4.527 + t^4.535 + t^4.593 + t^4.652 + t^4.718 + t^4.783 + t^5.868 + t^5.876 + t^5.883 + t^5.938 + t^5.996 - 2*t^6. - t^4.469/y - t^4.469*y	detail